Deck 3: An Overview of Long-Run Economic Growth

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Question
What country or countries do the following characteristics possibly describe?
• Life expectancy at birth is under 50 years.
• More than 90 percent of households do not have electricity.
• Fewer than 10 percent of young adults have graduated from high school.

A) Kenya
B) the United States in the late 1800s
C) Bangladesh
D) Russia
E) All of these answers are correct.
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Question
Until about 12,000 years ago, humans were ________; at that point ________ led to the first towns and true economic development.

A) farmers; the Bronze Age
B) hunters and gatherers; the Iron Age
C) hunters and gatherers; agriculture
D) hunters and gatherers; universities
E) farmers; industry
Question
If per capita GDP in 2014 was $1,000 and in 2015 was $1,200, the growth rate of per capita GDP was:

A) 1.2 percent
B) about 17 percent
C) 20 percent
D) 120 percent
E) Not enough information is given.
Question
The study of economic growth concentrates on understanding the determinants of:

A) the rate of price changes
B) the short-term change in per capita GDP
C) the rate of population growth
D) the change in per capita GDP over time
E) None of these answers are correct.
Question
Developed countries' average incomes rose from about ________ in 1700 to about ________ today.

A) $1,000; $30,000
B) $2,500; $50,000
C) $500; $70,000
D) $500; $45,000
E) $500; $100,000
Question
Economic growth is defined as:

A) the percent change in per capita income, or GDP
B) the percent change in prices, or GDP
C) the decline in the unemployment rate
D) the difference between the nominal and real GDP
E) changes in technology
Question
According to historical data, the wages in ancient Greece and Rome were ________ in sixteenth-century Britain or eighteenth-century France.

A) somewhat lower than
B) a lot higher than
C) a lot lower than
D) about the same as
E) None of these answers are correct.
Question
According to the constant growth rate rule, if a variable starts at some initial value y0 at t = 0 and grows at yt=y0(1+gˉ)ty _ { t } = y _ { 0 } ( 1 + \bar { g } ) ^ { t } at a constant rate gˉ,\bar { g } ,
Then the value of the variable in three periods is given by:

A) y3=y0(1gˉ)3y _ { 3 } = y _ { 0 } ( 1 - \bar { g } ) ^ { 3 }
B) yt=y0(1+gˉ)ty _ { t } = y _ { 0 } ( 1 + \bar { g } ) ^ { t }
C) y3=y0(1+gˉ)3y _ { 3 } = y _ { 0 } ( 1 + \bar { g } ) ^ { 3 }
D) y3=y0(1+3gˉ)y _ { 3 } = y _ { 0 } ( 1 + 3 \bar { g } )
E) y3=3y0(1gˉ)y _ { 3 } = 3 y _ { 0 } ( 1 - \bar { g } )
Question
The rule of 70 states that:

A) if yt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/g
B) if yt grows at a rate of g percent per year, then the number of years it takes yt to double is exactly equal to 70/g
C) if yt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to g/70
D) if yt grows at a rate of g percent per year, then the number of years it takes yt to triple is approximately equal to 70/g
E) if yt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/(1 + g)
Question
Economic growth can be useful in describing why:

A) Europeans are better off in 2007 than they were in 1907 and why Europeans are better off than Thais
B) Europeans are better off in 2007 than they were in 1907 and why Europeans are worse off than Thais
C) Europeans are better off in 2007 than they were in 1907
D) Europeans are worse off than Thais
E) Europeans are worse off in 2007 than they were in 1907 and why Europeans are better off than Thais
Question
English philosopher Thomas Hobbes is notable for observing that life was ________ for thousands of years.

A) nasty, brutish, and short
B) just like the legend of King Arthur
C) great, if you were a king
D) halcyon, fulsome, but short
E) comfortable and prosperous
Question
Defining per capita GDP in 2013 as y2013 and per capita GDP in 2014 as y2014, the growth rate of per capita GDP, gˉ\bar { g } , from 2013 to 2014 is given by:

A) gˉ=yˉ2014yˉ2013\bar { g } = \bar { y } _ { 2014 } - \bar { y } _ { 2013 }
B) gˉ=(yˉ2014+yˉ2013)/yˉ2013\bar { g } = \left( \bar { y } _ { 2014 } + \bar { y } _ { 2013 } \right) / \bar { y } _ { 2013 }
C) (yˉ2014×yˉ2013)/yˉ2013\left( \bar { y } _ { 2014 } \times \bar { y } _ { 2013 } \right) / \bar { y } _ { 2013 }
D) (yˉ2014yˉ2013)/yˉ2013\left( \bar { y } _ { 2014 } - \bar { y } _ { 2013 } \right) / \bar { y } _ { 2013 }
E) (yˉ2014yˉ2013)/yˉ2014\left( \bar { y } _ { 2014 } - \bar { y } _ { 2013 } \right) / \bar { y } _ { 2014 }
Question
If per capita GDP in 2013 was $900, in 2014 was $1,000, and in 2015 was $1,200, the growth rate of per capita GDP between 2013 and 2015 was:

A) 25 percent
B) about 11 percent
C) 20 percent
D) about 133 percent
E) about 33 percent
Question
The birthplace of modern economic growth was in ________ during the ________ century.

A) Japan; mid-twentieth
B) the United States; mid-nineteenth
C) the United Kingdom; mid-eighteenth
D) China; late twentieth
E) Germany; early nineteenth
Question
Assuming the current rate of economic growth continues, the average college student will have a lifetime income ________ that of his or her parents.

A) five times
B) ten times
C) about the same as
D) about twice
E) half
Question
In 2005, prices adjusted for inflation; the U.S. per capita GDP was about ________ in 1870, and by 2012 it had grown to about ________.

A) $500; $37,000
B) $2,800; $43,000
C) $500; $17,000
D) $10,000; $37,000
E) $100; $100,000
Question
Assuming the current rate of economic growth continues, the average parent of a college student will have a lifetime income ________ that of his or her son or daughter.

A) ten times
B) half
C) about the same as
D) five times
E) about twice
Question
The growth rate of any variable y between periods t and t + 1 is the ________ and is given by the term ________.

A) percentage of that variable; yt+1/yty _ { t + 1 } / y _ { t }
B) percent change in that variable; (yt+1yt)/yt\left( y _ { t + 1 } - y _ { t } \right) / y _ { t }
C) percent change in that variable; yt+1yty _ { t + 1 } - y _ { t }
D) percent of that variable; (yt+1yt)/yt\left( y _ { t + 1 } - y _ { t } \right) / y _ { t }
E) percent change in that variable; (yt+1yt)/yt+1\left( y _ { t + 1 } - y _ { t } \right) / y _ { t + 1 }
Question
The era of modern economic growth began about:

A) the time of the Egyptian pharaohs
B) 500 years ago
C) the time of Caesar
D) the time of the Renaissance
E) 300 years ago
Question
If the 130,000-year period since anatomically modern humans made their first appearance were compressed into a single day, economic growth would have begun in the last ________.

A) three hours
B) hour
C) three minutes
D) half hour
E) two hours
Question
Between 1970 and 1976, Israel's average inflation rate was about 65 percent per year. With that rate of inflation, prices would double about every ________ using the rule of 70.

A) 93 years
B) 107.7 years
C) 0.95 years
D) 1.1 years
E) 9.3 years
Question
Suppose that in 1950 Japan has an initial per capita GDP of $15,000 per year and China has a per capita GDP of $2,500. But China is growing at 7 percent per year and Japan is growing at 2 percent per year. In 2010, ________ is the lower-income country, with a per capita GDP of approximately ________.

A) China; $2,500
B) Japan; $15,000
C) Japan; $50,000
D) China; $46,000
E) Japan; $105,000
Question
Suppose that in 1960 Japan had an initial per capita GDP of $12,000 per year and China had a per capita GDP of $5,000. But China is growing at 5 percent per year and Japan is growing at 3 percent per year. ________ is richer in 2010 with a per capita GDP of approximately ________.

A) Japan; $5,000
B) Japan; $31,500
C) China; $7,500
D) China; $73,500
E) Not enough information is given.
Question
The president of the World Bank has asked you to calculate the average population growth rate of Hungary from 1970 to 2010. You know the population in 1970 was about 10.4 million and in 2010 about 9.5 million. The average growth rate is about:

A) 0.2 percent
B) -0.2 percent
C) 98.4 percent
D) 2.7 percent
E) -200 percent
Question
The compression of the vertical axis at "key doubling points" is called:

A) the quadratic scale
B) the logarithmic scale
C) the exponential scale
D) the ratio scale
E) the geometric scale
Question
Suppose population growth is given by Lt=L0(1+nˉ)tL _ { t } = L _ { 0 } ( 1 + \bar { n } ) ^ { t } , where L0 is the population today, LtL _ { t }
Is the population in t periods, and nˉ\bar { n }
Is the population constant growth rate. If we do not know what value nˉ\bar { n }
Takes but do know the values of L0, LtL _ { t }
, and t, we can calculate nˉ\bar { n }
By punching ________ into our calculator.

A) nˉ=(LtL0)1/t\bar { n } = \left( \frac { L _ { t } } { L _ { 0 } } \right) ^ { 1 / t }
B) mˉ=(Lt1L0)1/t\bar { m } = \left( \frac { L _ { t } - 1 } { L _ { 0 } } \right) ^ { 1 / t }
C) nˉ=(LtL0)1/t1\bar { n } = \left( \frac { L _ { t } } { L _ { 0 } } \right) ^ { 1 / t } - 1
D) nˉ=(LtL0)t1\bar { n } = \left( \frac { L _ { t } } { L _ { 0 } } \right) ^ { t } - 1
E) nˉ=Lt1/t1\bar { n } = L _ { t } ^ { 1 / t } - 1
Question
Between 1986 and 2010, China's per capita GDP grew an average of ________ percent.

A) 4.4
B) 8
C) 3.7
D) 7
E) 6
Question
Suppose there are L0 people in the world today. If the population growth rate equals nˉ\bar { n } , then in 50 years, the world population will be:

A) L50=L0nˉ50L _ { 50 } = L _ { 0 } \bar { n } ^ { 50 }
B) L50=L0(1+nˉ)50L _ { 50 } = L _ { 0 } ( 1 + \bar { n } ) ^ { 50 }
C) L50=L0ΣT=050(1+nˉ)tL _ { 50 } = L _ { 0 } \Sigma _ { T = 0 } ^ { 50 } ( 1 + \bar { n } ) ^ { t }
D) L50=L0(1+nˉ)×50L _ { _ { 50 } } = L _ { 0 } ( 1 + \bar { n } ) \times 50
E) L50=L0(1+nˉ)÷50L _ { _ { 50 } } = L _ { 0 } ( 1 + \bar { n } ) \div 50
Question
If the population of Romania was about 20.3 million in 1970 and the average population growth rate is 0.2 percent, then Romania's population would have been about ________ in 2010.

A) 20.3 million
B) 22.0 million
C) 40.6 million
D) 17.4 million
E) 23.6 million
Question
In the late nineteenth century, ________ was the richest country in the world, but it now lags behind the United States because of ________.

A) China; a lower rate of inflation
B) the United Kingdom; a lower economic growth rate
C) Germany; a higher economic growth rate
D) Japan; consistently being at war
E) China; a higher economic growth rate
Question
If the population of Romania was about 22 million in 2010 and the average population growth rate is 0.2 percent, then Romania's "initial" population was about ________ in 1970.

A) 23.9 million
B) 18.9 million
C) 20.3 million
D) 22.0 million
E) 23.8 million
Question
If we compress the vertical axis at "key doubling points," we call this:

A) the logarithmic scale
B) the ratio scale
C) the exponential scale
D) the quadratic scale
E) the geometric scale
Question
If instead of labeling the vertical axis in the usual "1, 2, 3, 4, . . ." fashion we label it as "1, 2, 4, 8, . . ." so that equal intervals represent a doubling, we call this:

A) the quadratic scale
B) the logarithmic scale
C) the exponential scale
D) the ratio scale
E) the geometric scale
Question
Since approximately 1950, ________ has been one of the fastest growing economies.

A) Germany
B) the United Kingdom
C) China
D) the United States
E) Mexico
Question
Of the industrialized countries in 2010, ________ had the highest per capita GDP, and in 1950, ________ had the lowest per capita GDP.

A) Japan; the United Kingdom
B) the United States; China
C) Germany; Germany
D) the United Kingdom; Germany
E) the United Kingdom; the United States
Question
According to the rule of 70, if an economy averages a 4 percent growth rate, it will take about ________ years to double in size.

A) 2.8
B) 1,750
C) 0.06
D) 5.7
E) 17.5
Question
Over the past 50 years, Brazil's population growth rate has averaged about 2.3 percent. According to the rule of 70, Brazil's population will double in about:

A) 3 years
B) 30 years
C) 33 years
D) 161 years
E) 1.6 years
Question
The president of the World Bank has asked you to calculate the average per capita GDP growth rate of Rwanda from 1980 to 2010. In 1980, per capita GDP was about $728 and in 2010 about $1,025. You tell him the average growth rate of per capita GDP is about:

A) 1.1 percent
B) -1.1 percent
C) 0.0 percent
D) -2.3 percent
E) 20.2 percent
Question
The president of the World Bank has asked you to calculate the average population growth rate of Nigeria from 1960 to 2010. You know the population in 1960 was about 42 million and in 2010 about 152 million. The average growth rate is about:

A) 16.4 percent
B) 0.9 percent
C) 0.0 percent
D) -4.1 percent
E) 2.6 percent
Question
The president of the World Bank is on his way to a meeting with the president of Uruguay. He bumps into you in the hallway and wants to know how long it will take for Uruguayan per capita GDP to double. All he knows is that the average growth rate has been about 1 percent. You quickly tell him it will take about ________ years because you know ________.

A) 60; the rule of 60
B) 7; the rule of 70
C) 700; percent change
D) 70; the rule of 70
E) 1; exponential growth
Question
In 2010, approximate ________ of the world's population lived on $5 a day or less.

A) one-twelfth
B) two-thirds
C) 10 percent
D) one-third
E) 12 percent
Question
Suppose k, l, and m grow at constant rates given by gˉk\bar { g } _ { k }  <strong>Suppose k, l, and m grow at constant rates given by  \bar { g } _ { k }    And  \bar { g } _ { m }  What is the growth rate of y if  y = m k ^ { 1 / 3 } l ^ { 2 / 3 } ? </strong> A)  g _ { y } = \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { t }  B)  g _ { y } = \bar { g } _ { m } \times ( 1 / 3 ) \bar { g } _ { k } \times ( 2 / 3 ) \bar { g } _ { l }  C)  g _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \left( \bar { g } _ { k } + \bar { g } _ { t } \right)  D)  g _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 2 / 3 ) \bar { g } _ { t }  E)  g _ { y } = \bar { g } _ { m } + \bar { g } _ { \ell } 1 / 3 + \bar { g } _ { t } 2 / 3  <div style=padding-top: 35px>  And gˉm\bar { g } _ { m }
What is the growth rate of y if y=mk1/3l2/3?y = m k ^ { 1 / 3 } l ^ { 2 / 3 } ?

A) gy=gˉm+gˉk+gˉtg _ { y } = \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { t }
B) gy=gˉm×(1/3)gˉk×(2/3)gˉlg _ { y } = \bar { g } _ { m } \times ( 1 / 3 ) \bar { g } _ { k } \times ( 2 / 3 ) \bar { g } _ { l }
C) gy=gˉm+(1/3)(gˉk+gˉt)g _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \left( \bar { g } _ { k } + \bar { g } _ { t } \right)
D) gy=gˉm+(1/3)gˉk+(2/3)gˉtg _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 2 / 3 ) \bar { g } _ { t }
E) gy=gˉm+gˉ1/3+gˉt2/3g _ { y } = \bar { g } _ { m } + \bar { g } _ { \ell } 1 / 3 + \bar { g } _ { t } 2 / 3
Question
Suppose x grows at a rate gˉx=3\bar { g } _ { x } = 3 percent and y grows at a rate gˉy=3\bar { g } _ { y } = 3
Percent. If z = x ×\times y, then z grows at ________; if z = x/y, z grows at ________.

A) 0 percent; 6 percent
B) 6 percent; 0 percent
C) 6 percent; 12 percent
D) -6 percent; 6 percent
E) 1 percent; 0 percent
Question
Suppose k and l grow at constant rates given by gˉk\bar { g } _ { k } and gˉl\bar { g } _ { l } '
What is the growth rate of y if y=ka/l(1a),a>0?y = k ^ { a } / l ^ { ( 1 - a ) } , a > 0 ?

A) gy=gˉka+gl(1a)g _ { y } = \bar { g } _ { k } ^ { a } + g _ { l } ( 1 - a )
B) gy=a(gˉk+gˉl)g _ { y } = a \left( \bar { g } _ { k } + \bar { g } _ { l } \right)
C) gy=agˉ+(1a)gˉlg _ { y } = a \bar { g } _ { \ell } + ( 1 - a ) \bar { g } _ { l }
D) gy=agˉ(1a)gˉlg _ { y } = a \bar { g } _ { \ell } - ( 1 - a ) \bar { g } _ { l }
E) gy=agˉk/(1a)gˉlg _ { y } = a \bar { g } _ { k } / ( 1 - a ) \bar { g } _ { l }
Question
When a lower-income economy's GDP is able to "catch up" with a higher-income economy's GDP, this behavior is related to an important concept in the study of economic:

A) growth
B) divergence
C) convergence
D) fluctuations
E) asset markets
Question
If France's per capita GDP is $5,000 in 1950 and Portugal's is $2,500, but Portugal is growing faster, the expectation that sometime in the future Portugal's per capita GDP will equal that of France is called economic:

A) growth
B) divergence
C) convergence
D) dynamics
E) justice
Question
Suppose k0 = 100 and assume it grows at a constant rate gˉX=2\bar { g } _ { X } = 2 percent per year. If yt=kt1/3,y _ { t } = k _ { t } ^ { 1 / 3 } ,
What is the approximate value of y in 50 years?

A) y50=269y _ { 50 } = 269
B) y50=6.45y _ { 50 } = 6.45
C) y50=5.38y _ { 50 } = 5.38
D) y50=1.11y _ { 50 } = 1.11
E) Not enough information is given.
Question
Suppose k, l, and m grow at constant rates given by gˉk\bar { g } _ { k }  <strong>Suppose k, l, and m grow at constant rates given by  \bar { g } _ { k }    And  \bar { g } _ { m }  What is the growth rate of y if  y = ( m k l ) ^ { 1 / 3 } ? </strong> A)  g _ { y } = ( 1 / 3 ) \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 1 / 3 ) \bar { g } _ { l }  B)  \bar { g } _ { y } = \frac { 1 } { 3 \left( \bar { g } _ { m } - \bar { g } _ { k } - \bar { g } _ { l } \right) }  C)  \bar { g } _ { y } = 3 \left( \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { l } \right)  D)  \bar { g } _ { y } = \left( \bar { g } _ { m } ^ { \frac { 1 } { 3 } } + g _ { k } ^ { \frac { 1 } { 3 } } + g _ { l } ^ { \frac { 1 } { 3 } } \right)  E)  \bar { g } _ { y } = \frac { 2 } { 3 \left( \bar { g } _ { m } + \bar { g } _ { k } - \bar { g } _ { l } \right) }  <div style=padding-top: 35px>  And gˉm\bar { g } _ { m }
What is the growth rate of y if y=(mkl)1/3?y = ( m k l ) ^ { 1 / 3 } ?

A) gy=(1/3)gˉm+(1/3)gˉk+(1/3)gˉlg _ { y } = ( 1 / 3 ) \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 1 / 3 ) \bar { g } _ { l }
B) gˉy=13(gˉmgˉkgˉl)\bar { g } _ { y } = \frac { 1 } { 3 \left( \bar { g } _ { m } - \bar { g } _ { k } - \bar { g } _ { l } \right) }
C) gˉy=3(gˉm+gˉk+gˉl)\bar { g } _ { y } = 3 \left( \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { l } \right)
D) gˉy=(gˉm13+gk13+gl13)\bar { g } _ { y } = \left( \bar { g } _ { m } ^ { \frac { 1 } { 3 } } + g _ { k } ^ { \frac { 1 } { 3 } } + g _ { l } ^ { \frac { 1 } { 3 } } \right)
E) gˉy=23(gˉm+gˉkgˉl)\bar { g } _ { y } = \frac { 2 } { 3 \left( \bar { g } _ { m } + \bar { g } _ { k } - \bar { g } _ { l } \right) }
Question
Between 1960 and 2000, which of the following countries was among the fastest growing?

A) Niger
B) Nicaragua
C) Madagascar
D) Venezuela
E) None of these answers are correct.
Question
In 1960, approximately ________ of the world's population lived on less than $5 per day, and the rate has ________ steadily since.

A) 10 percent; fallen
B) two-thirds; fallen
C) 10 percent; risen
D) one-third; fallen
E) two-thirds; risen
Question
Suppose x grows at a rate gˉz=5\bar { g } _ { z } = 5 percent and y grows at a rate gˉy=12\bar { g } _ { y } = 12
Percent. If z = y ×\times x, then z grows at ________; if z = x/y, z grows at ________.

A) 7 percent; -17 percent
B) -17 percent; 7 percent
C) 17 percent; -7 percent
D) 60 percent; 42 percent
E) 60 percent; -42 percent
Question
Between 1960 and 2010, the fraction of the world's population that lived on $5 a day or less ________. This can be attributed to, in part, ________.

A) fell; a shrinking global population
B) stayed about the same; global warming
C) fell; economic growth in China and India
D) rose; rising oil prices
E) rose; the financial crisis
Question
Suppose k, l, and A grow at constant rates given by gˉk\bar { g } _ { k } gˉy\bar { g } _ {y }
And gˉA\bar { g } _ { A }
)What is the growth rate of y if y=Akαl1α,α>0?y = A k ^ { \alpha } l ^ { 1 - \alpha } , \alpha > 0 ?

A) gˉy=gˉA+αgˉkαgˉl\bar { g } _ { y } = \bar { g } _ { A } + \alpha \bar { g } _ { k } - \alpha \bar { g } _ { l } .
B) gˉy=gˉA+α(gˉkgˉl)\bar { g } _ { y } = \bar { g } _ { A } + \alpha \left( \bar { g } _ { k } - \bar { g } _ { l } \right)
C) gˉy=gˉA+αgˉkαgˉl\bar { g } _ { y } = \bar { g } _ { A } + \alpha \bar { g } _ { k } - \alpha \bar { g } _ { l }
D) gˉy=gˉA+gˉkα+gˉL1α\bar { g } _ { y } = \bar { g } _ { A } + \bar { g } _ { k } ^ { \alpha } + \bar { g } _ { L } ^ { 1 - \alpha }
E) gˉy=gˉA+αgˉX+(1α)gˉZ\bar { g } _ { y } = \bar { g } _ { A } + \alpha \bar { g } _ { X } + ( 1 - \alpha ) \bar { g } _ { Z }
Question
Suppose k, l, and A grow at constant rates given by gˉk\bar { g } _ { k } gˉy\bar { g } _ { y } ,
And gˉA\bar { g } _ { A } `
What is the growth rate of y if y=Akal1a,a>0?y = A k ^ { a } l ^ { 1 - a } , a > 0 ?

A) gy=gˉA+a(gˉk+gˉt)g _ { y } = \bar { g } _ { A } + a \left( \bar { g } _ { k } + \bar { g } _ { t } \right)
B) gy=gˉA+agˉk+(1a)gˉlg _ { y } = \bar { g } _ { A } + a \bar { g } _ { k } + ( 1 - a ) \bar { g } _ { l }
C) gy=agˉA+agˉk+agˉlg _ { y } = a \bar { g } _ { A } + a \bar { g } _ { k } + a \bar { g } _ { l }
D) gy=gˉA+gˉla+gˉl(1a)g _ { y } = \bar { g } _ { A } + \bar { g } _ { l } ^ { a } + \bar { g } _ { l } ^ { ( 1 - a ) }
E) gy=gˉA×agˉk×(1a)gˉlg _ { y } = \bar { g } _ { A } \times a \bar { g } _ { k } \times ( 1 - a ) \bar { g } _ { l }
Question
In 1960, approximately ________ of the world's population lived on less than $5 per day; by 2000, it ________ to ________ of the population.

A) 10 percent; rose; over one-third
B) 10 percent; rose; over two-thirds
C) two-thirds; fell; less than 10 percent
D) one-third; fell; less than 1 percent
E) one-third; rose; over two-thirds
Question
Suppose k, l, and A grow at constant rates given by gˉk\bar { g } _ { k } gˉy\bar { g } _ {y}
And gˉA\bar { g } _ { A } '
What is the growth rate of y if y=Akβl1β,β>0?y = A k ^ { \beta } l ^ { 1 - \beta } , \beta > 0 ?

A) gy=gˉA+gˉkβ+gˉl1βg _ { y } = \bar { g } _ { A } + \bar { g } _ { k } ^ { \beta } + \bar { g } _ { l } ^ { 1 - \beta }
B) gy=gˉA+β(gˉk+gˉl)g _ { y } = \bar { g } _ { A } + \beta \left( \bar { g } _ { k } + \bar { g } _ { l } \right)
C) gy=βgˉA+βgˉ+βgˉlg _ { y } = \beta \bar { g } _ { A } + \beta \bar { g } _ { \ell } + \beta \bar { g } _ { l }
D) gy=gˉA+βgˉk+(1β)gˉlg _ { y } = \bar { g } _ { A } + \beta \bar { g } _ { k } + ( 1 - \beta ) \bar { g } _ { l }
E) gy=gˉA×βgˉk×(1β)gˉlg _ { y } = \bar { g } _ { A } \times \beta \bar { g } _ { k } \times ( 1 - \beta ) \bar { g } _ { l }
Question
In 2010, which of the following had a per capita GDP higher than the United States?

A) the United Kingdom
B) Belgium
C) Singapore
D) Japan
E) Greece
Question
Which of the following had a negative growth rate over the past 50 years?

A) Tanzania
B) Ethiopia
C) Burundi
D) Democratic Republic of Congo
E) All of these answers are correct.
Question
Suppose K and L grow at constant rates given by gˉk\bar { g } _ { k } and gˉL\bar { g } _ { L } '
What is the growth rate of y if y=keley = \frac { k ^ { e } } { l ^ { e } } ?

A) gy=agˉX+agˉLg _ { y } = a \bar { g } _ { X } + a \bar { g } _ { L }
B) gy=a(gˉX+gˉL)g _ { y } = a \left( \bar { g } _ { X } + \bar { g } _ { L } \right)
C) gˉy=a(gˉXgˉL)\bar { g } _ { y } = a \left( \frac { \bar { g } _ { X } } { \bar { g } _ { L } } \right)
D) a(gˉXgˉL)a \left( \bar { g } _ { X } - \bar { g } _ { L } \right)
E) gˉy=agˉL+(1a)gˉL\bar { g } _ { y } = a \bar { g } _ { L } + ( 1 - a ) \bar { g } _ { L }
Question
Between 1960 and 2000, which of the following countries was among the slowest growing?

A) South Korea
B) Ireland
C) Thailand
D) Hong Kong
E) Uganda
Question
The costs of economic growth include which of the following?

A) pollution and the depletion of natural resources
B) global cooling
C) the gradual release of individuals from physical labor
D) increased productivity
E) longer lifespans
Question
The "birthplace" of modern economic growth was the mid-nineteenth-century United States.
Question
Economic growth is defined as the percent change in per capita income or GDP.
Question
One of the nice properties of the rule of 70 is that it simply approximates how long it takes for a variable to double independent of the level of the variable.
Question
In dynamic economies, it is true that economic growth may contribute to ________, but it also leads to ________.

A) unemployment; inflation
B) job creation; job destruction
C) job destruction; job creation
D) crime; unemployment
E) pollution; price instability
Question
The relationship between pollution and per capita GDP is documented as:

A) U shaped
B) an inverse U
C) positively related
D) nonexistent
E) negatively related
Question
The costs of economic growth include which of the following?

A) pollution and the depletion of natural resources
B) global warming
C) increased income inequality
D) technological advances, which may lead to the loss of specific jobs and industries
E) All of these answers are correct.
Question
Which of the following is/are the benefit(s) of economic growth?

A) increases in life expectancy
B) reductions in infant mortality
C) higher incomes
D) an expansion in the range of goods and services available
E) All of these answers are correct.
Question
Assume that Mexico's average annual per capita GDP growth rate is 3 percent per year, while Argentina's is 2.5 percent. Next, assume that both countries began with an initial per capita GDP of $1,000 in 1960. By 2010, per capita GDP would have been ________ in Mexico and ________ in Argentina.

A) $228; $291
B) $3,437; $4,384
C) $4,515; $3,523
D) $4,384; $3,437
E) Not enough information is given.
Question
Assume that both Japan's and the United States' average annual per capita GDP growth rates are 2 percent per year, and both countries began with an initial per capita GDP of $1,000. However, the United States has been growing since 1910 and Japan only since 1960. In 2010, the United States would have been ________ than Japan.

A) 0.37 times poorer
B) 99 times richer
C) 2.69 times richer
D) 4,555 times richer
E) 0.269 times poorer
Question
Suppose k grows at a rate gˉk=6\bar { g } _ { k } = 6 percent and l grows at a rate gˉi=9\bar { g } _ { i} = 9
Percent. If y=k13l43y = k ^ { \frac { 1 } { 3 } } l ^ { - \frac { 4 } { 3 } } ,
Then y grows at:

A) -6 percent
B) 5 percent
C) 6 percent
D) -10 percent
E) 12 percent
Question
If the 130,000-year period since anatomically modern humans made their first appearance were compressed into a single day, economic growth would have begun in the last three minutes.
Question
Suppose k grows at a rate gˉk=3\bar { g } _ { k } = 3 percent and l grows at a rate gˉi=9\bar { g } _ {i } = 9
Percent. If y=k1/3l2/3y = k ^ { 1 / 3 } l ^ { 2 / 3 }
Then y grows at:

A) 6 percent
B) 5 percent
C) 7 percent
D) -6 percent
E) 12 percent
Question
Suppose there are L0 people in the world today. If the population growth rate equals nˉ\bar { n } ,
then in 50 years, the world population will be L50=L0Σt050(1+nˉ)tL _ { 50 } = L _ { 0 } \Sigma _ { t - 0 } ^ { 50 } ( 1 + \bar { n } ) ^ { t } .
Question
Suppose k grows at a rate gˉk=3\bar { g } _ { k } = 3 percent and l grows at a rate gˉi=9\bar { g } _ { i } = 9
Percent. If y=k1/3l1/3y = k ^ { 1 / 3 } l ^ { 1 / 3 } ,
Then y grows at:

A) 3 percent
B) 4 percent
C) -3 percent
D) 12 percent
E) -4 percent
Question
Which of the following is/are the benefit(s) of economic growth?

A) an expansion in the range of goods and services available
B) shorter expected lifespans
C) more pollution
D) lower government deficits
E) lower productivity
Question
Suppose k grows at a rate gˉk=3\bar { g } _ { k } = 3 percent and l grows at a rate gˉl=12\bar { g } _ { l } = 12
Percent. If y=k1/3l2/3y = k ^ { 1 / 3 } l ^ { 2 / 3 } ,
Then y grows at:

A) 5 percent
B) 15 percent
C) 9 percent
D) 4 percent
E) 3 percent
Question
Assume that both Mexico's and Argentina's average annual per capita GDP growth rates are 3 percent per year, and both countries began with an initial per capita GDP of $1,000. However, Argentina has been growing since 1935 and Mexico only since 1960. In 2010, Mexico's per capita GDP would have been about ________, while Argentina's would have been about ________.

A) $19.42; $12.94
B) $9,179; $4,384
C) $51,500; $77,250
D) $48,544; $72,816
E) $4,384; $9,179
Question
Despite the costs associated with economic growth, most believe:

A) they will get only higher
B) there are not too many benefits
C) they are higher than the benefits
D) the benefits far outweigh the costs
E) the benefits are negative
Question
According to historical data, wages in ancient Greece and Rome were about the same as wages in fifteenth-century Britain.
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Deck 3: An Overview of Long-Run Economic Growth
1
What country or countries do the following characteristics possibly describe?
• Life expectancy at birth is under 50 years.
• More than 90 percent of households do not have electricity.
• Fewer than 10 percent of young adults have graduated from high school.

A) Kenya
B) the United States in the late 1800s
C) Bangladesh
D) Russia
E) All of these answers are correct.
B
2
Until about 12,000 years ago, humans were ________; at that point ________ led to the first towns and true economic development.

A) farmers; the Bronze Age
B) hunters and gatherers; the Iron Age
C) hunters and gatherers; agriculture
D) hunters and gatherers; universities
E) farmers; industry
C
3
If per capita GDP in 2014 was $1,000 and in 2015 was $1,200, the growth rate of per capita GDP was:

A) 1.2 percent
B) about 17 percent
C) 20 percent
D) 120 percent
E) Not enough information is given.
C
4
The study of economic growth concentrates on understanding the determinants of:

A) the rate of price changes
B) the short-term change in per capita GDP
C) the rate of population growth
D) the change in per capita GDP over time
E) None of these answers are correct.
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5
Developed countries' average incomes rose from about ________ in 1700 to about ________ today.

A) $1,000; $30,000
B) $2,500; $50,000
C) $500; $70,000
D) $500; $45,000
E) $500; $100,000
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6
Economic growth is defined as:

A) the percent change in per capita income, or GDP
B) the percent change in prices, or GDP
C) the decline in the unemployment rate
D) the difference between the nominal and real GDP
E) changes in technology
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7
According to historical data, the wages in ancient Greece and Rome were ________ in sixteenth-century Britain or eighteenth-century France.

A) somewhat lower than
B) a lot higher than
C) a lot lower than
D) about the same as
E) None of these answers are correct.
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8
According to the constant growth rate rule, if a variable starts at some initial value y0 at t = 0 and grows at yt=y0(1+gˉ)ty _ { t } = y _ { 0 } ( 1 + \bar { g } ) ^ { t } at a constant rate gˉ,\bar { g } ,
Then the value of the variable in three periods is given by:

A) y3=y0(1gˉ)3y _ { 3 } = y _ { 0 } ( 1 - \bar { g } ) ^ { 3 }
B) yt=y0(1+gˉ)ty _ { t } = y _ { 0 } ( 1 + \bar { g } ) ^ { t }
C) y3=y0(1+gˉ)3y _ { 3 } = y _ { 0 } ( 1 + \bar { g } ) ^ { 3 }
D) y3=y0(1+3gˉ)y _ { 3 } = y _ { 0 } ( 1 + 3 \bar { g } )
E) y3=3y0(1gˉ)y _ { 3 } = 3 y _ { 0 } ( 1 - \bar { g } )
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9
The rule of 70 states that:

A) if yt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/g
B) if yt grows at a rate of g percent per year, then the number of years it takes yt to double is exactly equal to 70/g
C) if yt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to g/70
D) if yt grows at a rate of g percent per year, then the number of years it takes yt to triple is approximately equal to 70/g
E) if yt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/(1 + g)
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10
Economic growth can be useful in describing why:

A) Europeans are better off in 2007 than they were in 1907 and why Europeans are better off than Thais
B) Europeans are better off in 2007 than they were in 1907 and why Europeans are worse off than Thais
C) Europeans are better off in 2007 than they were in 1907
D) Europeans are worse off than Thais
E) Europeans are worse off in 2007 than they were in 1907 and why Europeans are better off than Thais
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11
English philosopher Thomas Hobbes is notable for observing that life was ________ for thousands of years.

A) nasty, brutish, and short
B) just like the legend of King Arthur
C) great, if you were a king
D) halcyon, fulsome, but short
E) comfortable and prosperous
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12
Defining per capita GDP in 2013 as y2013 and per capita GDP in 2014 as y2014, the growth rate of per capita GDP, gˉ\bar { g } , from 2013 to 2014 is given by:

A) gˉ=yˉ2014yˉ2013\bar { g } = \bar { y } _ { 2014 } - \bar { y } _ { 2013 }
B) gˉ=(yˉ2014+yˉ2013)/yˉ2013\bar { g } = \left( \bar { y } _ { 2014 } + \bar { y } _ { 2013 } \right) / \bar { y } _ { 2013 }
C) (yˉ2014×yˉ2013)/yˉ2013\left( \bar { y } _ { 2014 } \times \bar { y } _ { 2013 } \right) / \bar { y } _ { 2013 }
D) (yˉ2014yˉ2013)/yˉ2013\left( \bar { y } _ { 2014 } - \bar { y } _ { 2013 } \right) / \bar { y } _ { 2013 }
E) (yˉ2014yˉ2013)/yˉ2014\left( \bar { y } _ { 2014 } - \bar { y } _ { 2013 } \right) / \bar { y } _ { 2014 }
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13
If per capita GDP in 2013 was $900, in 2014 was $1,000, and in 2015 was $1,200, the growth rate of per capita GDP between 2013 and 2015 was:

A) 25 percent
B) about 11 percent
C) 20 percent
D) about 133 percent
E) about 33 percent
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14
The birthplace of modern economic growth was in ________ during the ________ century.

A) Japan; mid-twentieth
B) the United States; mid-nineteenth
C) the United Kingdom; mid-eighteenth
D) China; late twentieth
E) Germany; early nineteenth
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15
Assuming the current rate of economic growth continues, the average college student will have a lifetime income ________ that of his or her parents.

A) five times
B) ten times
C) about the same as
D) about twice
E) half
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16
In 2005, prices adjusted for inflation; the U.S. per capita GDP was about ________ in 1870, and by 2012 it had grown to about ________.

A) $500; $37,000
B) $2,800; $43,000
C) $500; $17,000
D) $10,000; $37,000
E) $100; $100,000
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17
Assuming the current rate of economic growth continues, the average parent of a college student will have a lifetime income ________ that of his or her son or daughter.

A) ten times
B) half
C) about the same as
D) five times
E) about twice
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18
The growth rate of any variable y between periods t and t + 1 is the ________ and is given by the term ________.

A) percentage of that variable; yt+1/yty _ { t + 1 } / y _ { t }
B) percent change in that variable; (yt+1yt)/yt\left( y _ { t + 1 } - y _ { t } \right) / y _ { t }
C) percent change in that variable; yt+1yty _ { t + 1 } - y _ { t }
D) percent of that variable; (yt+1yt)/yt\left( y _ { t + 1 } - y _ { t } \right) / y _ { t }
E) percent change in that variable; (yt+1yt)/yt+1\left( y _ { t + 1 } - y _ { t } \right) / y _ { t + 1 }
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19
The era of modern economic growth began about:

A) the time of the Egyptian pharaohs
B) 500 years ago
C) the time of Caesar
D) the time of the Renaissance
E) 300 years ago
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20
If the 130,000-year period since anatomically modern humans made their first appearance were compressed into a single day, economic growth would have begun in the last ________.

A) three hours
B) hour
C) three minutes
D) half hour
E) two hours
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21
Between 1970 and 1976, Israel's average inflation rate was about 65 percent per year. With that rate of inflation, prices would double about every ________ using the rule of 70.

A) 93 years
B) 107.7 years
C) 0.95 years
D) 1.1 years
E) 9.3 years
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22
Suppose that in 1950 Japan has an initial per capita GDP of $15,000 per year and China has a per capita GDP of $2,500. But China is growing at 7 percent per year and Japan is growing at 2 percent per year. In 2010, ________ is the lower-income country, with a per capita GDP of approximately ________.

A) China; $2,500
B) Japan; $15,000
C) Japan; $50,000
D) China; $46,000
E) Japan; $105,000
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23
Suppose that in 1960 Japan had an initial per capita GDP of $12,000 per year and China had a per capita GDP of $5,000. But China is growing at 5 percent per year and Japan is growing at 3 percent per year. ________ is richer in 2010 with a per capita GDP of approximately ________.

A) Japan; $5,000
B) Japan; $31,500
C) China; $7,500
D) China; $73,500
E) Not enough information is given.
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24
The president of the World Bank has asked you to calculate the average population growth rate of Hungary from 1970 to 2010. You know the population in 1970 was about 10.4 million and in 2010 about 9.5 million. The average growth rate is about:

A) 0.2 percent
B) -0.2 percent
C) 98.4 percent
D) 2.7 percent
E) -200 percent
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25
The compression of the vertical axis at "key doubling points" is called:

A) the quadratic scale
B) the logarithmic scale
C) the exponential scale
D) the ratio scale
E) the geometric scale
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26
Suppose population growth is given by Lt=L0(1+nˉ)tL _ { t } = L _ { 0 } ( 1 + \bar { n } ) ^ { t } , where L0 is the population today, LtL _ { t }
Is the population in t periods, and nˉ\bar { n }
Is the population constant growth rate. If we do not know what value nˉ\bar { n }
Takes but do know the values of L0, LtL _ { t }
, and t, we can calculate nˉ\bar { n }
By punching ________ into our calculator.

A) nˉ=(LtL0)1/t\bar { n } = \left( \frac { L _ { t } } { L _ { 0 } } \right) ^ { 1 / t }
B) mˉ=(Lt1L0)1/t\bar { m } = \left( \frac { L _ { t } - 1 } { L _ { 0 } } \right) ^ { 1 / t }
C) nˉ=(LtL0)1/t1\bar { n } = \left( \frac { L _ { t } } { L _ { 0 } } \right) ^ { 1 / t } - 1
D) nˉ=(LtL0)t1\bar { n } = \left( \frac { L _ { t } } { L _ { 0 } } \right) ^ { t } - 1
E) nˉ=Lt1/t1\bar { n } = L _ { t } ^ { 1 / t } - 1
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27
Between 1986 and 2010, China's per capita GDP grew an average of ________ percent.

A) 4.4
B) 8
C) 3.7
D) 7
E) 6
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28
Suppose there are L0 people in the world today. If the population growth rate equals nˉ\bar { n } , then in 50 years, the world population will be:

A) L50=L0nˉ50L _ { 50 } = L _ { 0 } \bar { n } ^ { 50 }
B) L50=L0(1+nˉ)50L _ { 50 } = L _ { 0 } ( 1 + \bar { n } ) ^ { 50 }
C) L50=L0ΣT=050(1+nˉ)tL _ { 50 } = L _ { 0 } \Sigma _ { T = 0 } ^ { 50 } ( 1 + \bar { n } ) ^ { t }
D) L50=L0(1+nˉ)×50L _ { _ { 50 } } = L _ { 0 } ( 1 + \bar { n } ) \times 50
E) L50=L0(1+nˉ)÷50L _ { _ { 50 } } = L _ { 0 } ( 1 + \bar { n } ) \div 50
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29
If the population of Romania was about 20.3 million in 1970 and the average population growth rate is 0.2 percent, then Romania's population would have been about ________ in 2010.

A) 20.3 million
B) 22.0 million
C) 40.6 million
D) 17.4 million
E) 23.6 million
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30
In the late nineteenth century, ________ was the richest country in the world, but it now lags behind the United States because of ________.

A) China; a lower rate of inflation
B) the United Kingdom; a lower economic growth rate
C) Germany; a higher economic growth rate
D) Japan; consistently being at war
E) China; a higher economic growth rate
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31
If the population of Romania was about 22 million in 2010 and the average population growth rate is 0.2 percent, then Romania's "initial" population was about ________ in 1970.

A) 23.9 million
B) 18.9 million
C) 20.3 million
D) 22.0 million
E) 23.8 million
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32
If we compress the vertical axis at "key doubling points," we call this:

A) the logarithmic scale
B) the ratio scale
C) the exponential scale
D) the quadratic scale
E) the geometric scale
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33
If instead of labeling the vertical axis in the usual "1, 2, 3, 4, . . ." fashion we label it as "1, 2, 4, 8, . . ." so that equal intervals represent a doubling, we call this:

A) the quadratic scale
B) the logarithmic scale
C) the exponential scale
D) the ratio scale
E) the geometric scale
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34
Since approximately 1950, ________ has been one of the fastest growing economies.

A) Germany
B) the United Kingdom
C) China
D) the United States
E) Mexico
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35
Of the industrialized countries in 2010, ________ had the highest per capita GDP, and in 1950, ________ had the lowest per capita GDP.

A) Japan; the United Kingdom
B) the United States; China
C) Germany; Germany
D) the United Kingdom; Germany
E) the United Kingdom; the United States
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36
According to the rule of 70, if an economy averages a 4 percent growth rate, it will take about ________ years to double in size.

A) 2.8
B) 1,750
C) 0.06
D) 5.7
E) 17.5
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37
Over the past 50 years, Brazil's population growth rate has averaged about 2.3 percent. According to the rule of 70, Brazil's population will double in about:

A) 3 years
B) 30 years
C) 33 years
D) 161 years
E) 1.6 years
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38
The president of the World Bank has asked you to calculate the average per capita GDP growth rate of Rwanda from 1980 to 2010. In 1980, per capita GDP was about $728 and in 2010 about $1,025. You tell him the average growth rate of per capita GDP is about:

A) 1.1 percent
B) -1.1 percent
C) 0.0 percent
D) -2.3 percent
E) 20.2 percent
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39
The president of the World Bank has asked you to calculate the average population growth rate of Nigeria from 1960 to 2010. You know the population in 1960 was about 42 million and in 2010 about 152 million. The average growth rate is about:

A) 16.4 percent
B) 0.9 percent
C) 0.0 percent
D) -4.1 percent
E) 2.6 percent
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40
The president of the World Bank is on his way to a meeting with the president of Uruguay. He bumps into you in the hallway and wants to know how long it will take for Uruguayan per capita GDP to double. All he knows is that the average growth rate has been about 1 percent. You quickly tell him it will take about ________ years because you know ________.

A) 60; the rule of 60
B) 7; the rule of 70
C) 700; percent change
D) 70; the rule of 70
E) 1; exponential growth
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41
In 2010, approximate ________ of the world's population lived on $5 a day or less.

A) one-twelfth
B) two-thirds
C) 10 percent
D) one-third
E) 12 percent
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42
Suppose k, l, and m grow at constant rates given by gˉk\bar { g } _ { k }  <strong>Suppose k, l, and m grow at constant rates given by  \bar { g } _ { k }    And  \bar { g } _ { m }  What is the growth rate of y if  y = m k ^ { 1 / 3 } l ^ { 2 / 3 } ? </strong> A)  g _ { y } = \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { t }  B)  g _ { y } = \bar { g } _ { m } \times ( 1 / 3 ) \bar { g } _ { k } \times ( 2 / 3 ) \bar { g } _ { l }  C)  g _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \left( \bar { g } _ { k } + \bar { g } _ { t } \right)  D)  g _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 2 / 3 ) \bar { g } _ { t }  E)  g _ { y } = \bar { g } _ { m } + \bar { g } _ { \ell } 1 / 3 + \bar { g } _ { t } 2 / 3   And gˉm\bar { g } _ { m }
What is the growth rate of y if y=mk1/3l2/3?y = m k ^ { 1 / 3 } l ^ { 2 / 3 } ?

A) gy=gˉm+gˉk+gˉtg _ { y } = \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { t }
B) gy=gˉm×(1/3)gˉk×(2/3)gˉlg _ { y } = \bar { g } _ { m } \times ( 1 / 3 ) \bar { g } _ { k } \times ( 2 / 3 ) \bar { g } _ { l }
C) gy=gˉm+(1/3)(gˉk+gˉt)g _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \left( \bar { g } _ { k } + \bar { g } _ { t } \right)
D) gy=gˉm+(1/3)gˉk+(2/3)gˉtg _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 2 / 3 ) \bar { g } _ { t }
E) gy=gˉm+gˉ1/3+gˉt2/3g _ { y } = \bar { g } _ { m } + \bar { g } _ { \ell } 1 / 3 + \bar { g } _ { t } 2 / 3
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43
Suppose x grows at a rate gˉx=3\bar { g } _ { x } = 3 percent and y grows at a rate gˉy=3\bar { g } _ { y } = 3
Percent. If z = x ×\times y, then z grows at ________; if z = x/y, z grows at ________.

A) 0 percent; 6 percent
B) 6 percent; 0 percent
C) 6 percent; 12 percent
D) -6 percent; 6 percent
E) 1 percent; 0 percent
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44
Suppose k and l grow at constant rates given by gˉk\bar { g } _ { k } and gˉl\bar { g } _ { l } '
What is the growth rate of y if y=ka/l(1a),a>0?y = k ^ { a } / l ^ { ( 1 - a ) } , a > 0 ?

A) gy=gˉka+gl(1a)g _ { y } = \bar { g } _ { k } ^ { a } + g _ { l } ( 1 - a )
B) gy=a(gˉk+gˉl)g _ { y } = a \left( \bar { g } _ { k } + \bar { g } _ { l } \right)
C) gy=agˉ+(1a)gˉlg _ { y } = a \bar { g } _ { \ell } + ( 1 - a ) \bar { g } _ { l }
D) gy=agˉ(1a)gˉlg _ { y } = a \bar { g } _ { \ell } - ( 1 - a ) \bar { g } _ { l }
E) gy=agˉk/(1a)gˉlg _ { y } = a \bar { g } _ { k } / ( 1 - a ) \bar { g } _ { l }
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45
When a lower-income economy's GDP is able to "catch up" with a higher-income economy's GDP, this behavior is related to an important concept in the study of economic:

A) growth
B) divergence
C) convergence
D) fluctuations
E) asset markets
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46
If France's per capita GDP is $5,000 in 1950 and Portugal's is $2,500, but Portugal is growing faster, the expectation that sometime in the future Portugal's per capita GDP will equal that of France is called economic:

A) growth
B) divergence
C) convergence
D) dynamics
E) justice
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47
Suppose k0 = 100 and assume it grows at a constant rate gˉX=2\bar { g } _ { X } = 2 percent per year. If yt=kt1/3,y _ { t } = k _ { t } ^ { 1 / 3 } ,
What is the approximate value of y in 50 years?

A) y50=269y _ { 50 } = 269
B) y50=6.45y _ { 50 } = 6.45
C) y50=5.38y _ { 50 } = 5.38
D) y50=1.11y _ { 50 } = 1.11
E) Not enough information is given.
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48
Suppose k, l, and m grow at constant rates given by gˉk\bar { g } _ { k }  <strong>Suppose k, l, and m grow at constant rates given by  \bar { g } _ { k }    And  \bar { g } _ { m }  What is the growth rate of y if  y = ( m k l ) ^ { 1 / 3 } ? </strong> A)  g _ { y } = ( 1 / 3 ) \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 1 / 3 ) \bar { g } _ { l }  B)  \bar { g } _ { y } = \frac { 1 } { 3 \left( \bar { g } _ { m } - \bar { g } _ { k } - \bar { g } _ { l } \right) }  C)  \bar { g } _ { y } = 3 \left( \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { l } \right)  D)  \bar { g } _ { y } = \left( \bar { g } _ { m } ^ { \frac { 1 } { 3 } } + g _ { k } ^ { \frac { 1 } { 3 } } + g _ { l } ^ { \frac { 1 } { 3 } } \right)  E)  \bar { g } _ { y } = \frac { 2 } { 3 \left( \bar { g } _ { m } + \bar { g } _ { k } - \bar { g } _ { l } \right) }   And gˉm\bar { g } _ { m }
What is the growth rate of y if y=(mkl)1/3?y = ( m k l ) ^ { 1 / 3 } ?

A) gy=(1/3)gˉm+(1/3)gˉk+(1/3)gˉlg _ { y } = ( 1 / 3 ) \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 1 / 3 ) \bar { g } _ { l }
B) gˉy=13(gˉmgˉkgˉl)\bar { g } _ { y } = \frac { 1 } { 3 \left( \bar { g } _ { m } - \bar { g } _ { k } - \bar { g } _ { l } \right) }
C) gˉy=3(gˉm+gˉk+gˉl)\bar { g } _ { y } = 3 \left( \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { l } \right)
D) gˉy=(gˉm13+gk13+gl13)\bar { g } _ { y } = \left( \bar { g } _ { m } ^ { \frac { 1 } { 3 } } + g _ { k } ^ { \frac { 1 } { 3 } } + g _ { l } ^ { \frac { 1 } { 3 } } \right)
E) gˉy=23(gˉm+gˉkgˉl)\bar { g } _ { y } = \frac { 2 } { 3 \left( \bar { g } _ { m } + \bar { g } _ { k } - \bar { g } _ { l } \right) }
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49
Between 1960 and 2000, which of the following countries was among the fastest growing?

A) Niger
B) Nicaragua
C) Madagascar
D) Venezuela
E) None of these answers are correct.
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50
In 1960, approximately ________ of the world's population lived on less than $5 per day, and the rate has ________ steadily since.

A) 10 percent; fallen
B) two-thirds; fallen
C) 10 percent; risen
D) one-third; fallen
E) two-thirds; risen
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51
Suppose x grows at a rate gˉz=5\bar { g } _ { z } = 5 percent and y grows at a rate gˉy=12\bar { g } _ { y } = 12
Percent. If z = y ×\times x, then z grows at ________; if z = x/y, z grows at ________.

A) 7 percent; -17 percent
B) -17 percent; 7 percent
C) 17 percent; -7 percent
D) 60 percent; 42 percent
E) 60 percent; -42 percent
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52
Between 1960 and 2010, the fraction of the world's population that lived on $5 a day or less ________. This can be attributed to, in part, ________.

A) fell; a shrinking global population
B) stayed about the same; global warming
C) fell; economic growth in China and India
D) rose; rising oil prices
E) rose; the financial crisis
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53
Suppose k, l, and A grow at constant rates given by gˉk\bar { g } _ { k } gˉy\bar { g } _ {y }
And gˉA\bar { g } _ { A }
)What is the growth rate of y if y=Akαl1α,α>0?y = A k ^ { \alpha } l ^ { 1 - \alpha } , \alpha > 0 ?

A) gˉy=gˉA+αgˉkαgˉl\bar { g } _ { y } = \bar { g } _ { A } + \alpha \bar { g } _ { k } - \alpha \bar { g } _ { l } .
B) gˉy=gˉA+α(gˉkgˉl)\bar { g } _ { y } = \bar { g } _ { A } + \alpha \left( \bar { g } _ { k } - \bar { g } _ { l } \right)
C) gˉy=gˉA+αgˉkαgˉl\bar { g } _ { y } = \bar { g } _ { A } + \alpha \bar { g } _ { k } - \alpha \bar { g } _ { l }
D) gˉy=gˉA+gˉkα+gˉL1α\bar { g } _ { y } = \bar { g } _ { A } + \bar { g } _ { k } ^ { \alpha } + \bar { g } _ { L } ^ { 1 - \alpha }
E) gˉy=gˉA+αgˉX+(1α)gˉZ\bar { g } _ { y } = \bar { g } _ { A } + \alpha \bar { g } _ { X } + ( 1 - \alpha ) \bar { g } _ { Z }
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54
Suppose k, l, and A grow at constant rates given by gˉk\bar { g } _ { k } gˉy\bar { g } _ { y } ,
And gˉA\bar { g } _ { A } `
What is the growth rate of y if y=Akal1a,a>0?y = A k ^ { a } l ^ { 1 - a } , a > 0 ?

A) gy=gˉA+a(gˉk+gˉt)g _ { y } = \bar { g } _ { A } + a \left( \bar { g } _ { k } + \bar { g } _ { t } \right)
B) gy=gˉA+agˉk+(1a)gˉlg _ { y } = \bar { g } _ { A } + a \bar { g } _ { k } + ( 1 - a ) \bar { g } _ { l }
C) gy=agˉA+agˉk+agˉlg _ { y } = a \bar { g } _ { A } + a \bar { g } _ { k } + a \bar { g } _ { l }
D) gy=gˉA+gˉla+gˉl(1a)g _ { y } = \bar { g } _ { A } + \bar { g } _ { l } ^ { a } + \bar { g } _ { l } ^ { ( 1 - a ) }
E) gy=gˉA×agˉk×(1a)gˉlg _ { y } = \bar { g } _ { A } \times a \bar { g } _ { k } \times ( 1 - a ) \bar { g } _ { l }
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55
In 1960, approximately ________ of the world's population lived on less than $5 per day; by 2000, it ________ to ________ of the population.

A) 10 percent; rose; over one-third
B) 10 percent; rose; over two-thirds
C) two-thirds; fell; less than 10 percent
D) one-third; fell; less than 1 percent
E) one-third; rose; over two-thirds
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56
Suppose k, l, and A grow at constant rates given by gˉk\bar { g } _ { k } gˉy\bar { g } _ {y}
And gˉA\bar { g } _ { A } '
What is the growth rate of y if y=Akβl1β,β>0?y = A k ^ { \beta } l ^ { 1 - \beta } , \beta > 0 ?

A) gy=gˉA+gˉkβ+gˉl1βg _ { y } = \bar { g } _ { A } + \bar { g } _ { k } ^ { \beta } + \bar { g } _ { l } ^ { 1 - \beta }
B) gy=gˉA+β(gˉk+gˉl)g _ { y } = \bar { g } _ { A } + \beta \left( \bar { g } _ { k } + \bar { g } _ { l } \right)
C) gy=βgˉA+βgˉ+βgˉlg _ { y } = \beta \bar { g } _ { A } + \beta \bar { g } _ { \ell } + \beta \bar { g } _ { l }
D) gy=gˉA+βgˉk+(1β)gˉlg _ { y } = \bar { g } _ { A } + \beta \bar { g } _ { k } + ( 1 - \beta ) \bar { g } _ { l }
E) gy=gˉA×βgˉk×(1β)gˉlg _ { y } = \bar { g } _ { A } \times \beta \bar { g } _ { k } \times ( 1 - \beta ) \bar { g } _ { l }
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57
In 2010, which of the following had a per capita GDP higher than the United States?

A) the United Kingdom
B) Belgium
C) Singapore
D) Japan
E) Greece
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58
Which of the following had a negative growth rate over the past 50 years?

A) Tanzania
B) Ethiopia
C) Burundi
D) Democratic Republic of Congo
E) All of these answers are correct.
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59
Suppose K and L grow at constant rates given by gˉk\bar { g } _ { k } and gˉL\bar { g } _ { L } '
What is the growth rate of y if y=keley = \frac { k ^ { e } } { l ^ { e } } ?

A) gy=agˉX+agˉLg _ { y } = a \bar { g } _ { X } + a \bar { g } _ { L }
B) gy=a(gˉX+gˉL)g _ { y } = a \left( \bar { g } _ { X } + \bar { g } _ { L } \right)
C) gˉy=a(gˉXgˉL)\bar { g } _ { y } = a \left( \frac { \bar { g } _ { X } } { \bar { g } _ { L } } \right)
D) a(gˉXgˉL)a \left( \bar { g } _ { X } - \bar { g } _ { L } \right)
E) gˉy=agˉL+(1a)gˉL\bar { g } _ { y } = a \bar { g } _ { L } + ( 1 - a ) \bar { g } _ { L }
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60
Between 1960 and 2000, which of the following countries was among the slowest growing?

A) South Korea
B) Ireland
C) Thailand
D) Hong Kong
E) Uganda
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61
The costs of economic growth include which of the following?

A) pollution and the depletion of natural resources
B) global cooling
C) the gradual release of individuals from physical labor
D) increased productivity
E) longer lifespans
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62
The "birthplace" of modern economic growth was the mid-nineteenth-century United States.
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63
Economic growth is defined as the percent change in per capita income or GDP.
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64
One of the nice properties of the rule of 70 is that it simply approximates how long it takes for a variable to double independent of the level of the variable.
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65
In dynamic economies, it is true that economic growth may contribute to ________, but it also leads to ________.

A) unemployment; inflation
B) job creation; job destruction
C) job destruction; job creation
D) crime; unemployment
E) pollution; price instability
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66
The relationship between pollution and per capita GDP is documented as:

A) U shaped
B) an inverse U
C) positively related
D) nonexistent
E) negatively related
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67
The costs of economic growth include which of the following?

A) pollution and the depletion of natural resources
B) global warming
C) increased income inequality
D) technological advances, which may lead to the loss of specific jobs and industries
E) All of these answers are correct.
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68
Which of the following is/are the benefit(s) of economic growth?

A) increases in life expectancy
B) reductions in infant mortality
C) higher incomes
D) an expansion in the range of goods and services available
E) All of these answers are correct.
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69
Assume that Mexico's average annual per capita GDP growth rate is 3 percent per year, while Argentina's is 2.5 percent. Next, assume that both countries began with an initial per capita GDP of $1,000 in 1960. By 2010, per capita GDP would have been ________ in Mexico and ________ in Argentina.

A) $228; $291
B) $3,437; $4,384
C) $4,515; $3,523
D) $4,384; $3,437
E) Not enough information is given.
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70
Assume that both Japan's and the United States' average annual per capita GDP growth rates are 2 percent per year, and both countries began with an initial per capita GDP of $1,000. However, the United States has been growing since 1910 and Japan only since 1960. In 2010, the United States would have been ________ than Japan.

A) 0.37 times poorer
B) 99 times richer
C) 2.69 times richer
D) 4,555 times richer
E) 0.269 times poorer
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71
Suppose k grows at a rate gˉk=6\bar { g } _ { k } = 6 percent and l grows at a rate gˉi=9\bar { g } _ { i} = 9
Percent. If y=k13l43y = k ^ { \frac { 1 } { 3 } } l ^ { - \frac { 4 } { 3 } } ,
Then y grows at:

A) -6 percent
B) 5 percent
C) 6 percent
D) -10 percent
E) 12 percent
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72
If the 130,000-year period since anatomically modern humans made their first appearance were compressed into a single day, economic growth would have begun in the last three minutes.
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73
Suppose k grows at a rate gˉk=3\bar { g } _ { k } = 3 percent and l grows at a rate gˉi=9\bar { g } _ {i } = 9
Percent. If y=k1/3l2/3y = k ^ { 1 / 3 } l ^ { 2 / 3 }
Then y grows at:

A) 6 percent
B) 5 percent
C) 7 percent
D) -6 percent
E) 12 percent
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74
Suppose there are L0 people in the world today. If the population growth rate equals nˉ\bar { n } ,
then in 50 years, the world population will be L50=L0Σt050(1+nˉ)tL _ { 50 } = L _ { 0 } \Sigma _ { t - 0 } ^ { 50 } ( 1 + \bar { n } ) ^ { t } .
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75
Suppose k grows at a rate gˉk=3\bar { g } _ { k } = 3 percent and l grows at a rate gˉi=9\bar { g } _ { i } = 9
Percent. If y=k1/3l1/3y = k ^ { 1 / 3 } l ^ { 1 / 3 } ,
Then y grows at:

A) 3 percent
B) 4 percent
C) -3 percent
D) 12 percent
E) -4 percent
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76
Which of the following is/are the benefit(s) of economic growth?

A) an expansion in the range of goods and services available
B) shorter expected lifespans
C) more pollution
D) lower government deficits
E) lower productivity
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77
Suppose k grows at a rate gˉk=3\bar { g } _ { k } = 3 percent and l grows at a rate gˉl=12\bar { g } _ { l } = 12
Percent. If y=k1/3l2/3y = k ^ { 1 / 3 } l ^ { 2 / 3 } ,
Then y grows at:

A) 5 percent
B) 15 percent
C) 9 percent
D) 4 percent
E) 3 percent
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78
Assume that both Mexico's and Argentina's average annual per capita GDP growth rates are 3 percent per year, and both countries began with an initial per capita GDP of $1,000. However, Argentina has been growing since 1935 and Mexico only since 1960. In 2010, Mexico's per capita GDP would have been about ________, while Argentina's would have been about ________.

A) $19.42; $12.94
B) $9,179; $4,384
C) $51,500; $77,250
D) $48,544; $72,816
E) $4,384; $9,179
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79
Despite the costs associated with economic growth, most believe:

A) they will get only higher
B) there are not too many benefits
C) they are higher than the benefits
D) the benefits far outweigh the costs
E) the benefits are negative
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80
According to historical data, wages in ancient Greece and Rome were about the same as wages in fifteenth-century Britain.
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