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Deck 22: Exponential and Logarithmic Models
Full screen (f)
Question
Question
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
Complete the table for a savings account in which interest is compounded continuously.
(Round the answer up to two decimal places. )
A)Time to double:
Amount after 10 years: 
B)Time to double:
Amount after 10 years: 
C)Time to double:
Amount after 10 years: 
D)Time to double:
Amount after 10 years: 
E)Time to double:
Amount after 10 years: 
(Round the answer up to two decimal places. )
A)Time to double:
Amount after 10 years: B)Time to double:
Amount after 10 years: C)Time to double:
Amount after 10 years: D)Time to double:
Amount after 10 years: E)Time to double:
Amount after 10 years: Question
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Complete the table for a savings account in which interest is compounded continuously. 
(Round the answer up to two decimal places. )
A)Annual rate:
Amount after 10 years: 
B)Annual rate:
Amount after 10 years: 
C)Annual rate:
Amount after 10 years: 
D)Annual rate:
Amount after 10 years: 
E)Annual rate:
Amount after 10 years: 
(Round the answer up to two decimal places. )
A)Annual rate:
Amount after 10 years: B)Annual rate:
Amount after 10 years: C)Annual rate:
Amount after 10 years: D)Annual rate:
Amount after 10 years: E)Annual rate:
Amount after 10 years: Question
Complete the table for a savings account in which interest is compounded continuously. 
(Round the answer up to two decimal places. )
A)Annual rate:
Time to double: 10 
B)Annual rate:
Time to double: 15 yr
C)Annual rate:
Time to double: 10 
D)Annual rate:
Time to double: 14 yr
E)Annual rate:
Time to double: 10 
(Round the answer up to two decimal places. )A)Annual rate:
Time to double: 10 B)Annual rate:
Time to double: 15 yrC)Annual rate:
Time to double: 10 D)Annual rate:
Time to double: 14 yrE)Annual rate:
Time to double: 10 Question
Complete the table for a savings account in which interest is compounded continuously. 
(Round the answer up to two decimal places. )
A)Annual rate:
Time to double: 14 yr
B)Annual rate:
Time to double: 11 yr
C)Annual rate:
Time to double: 11 yr
D)Annual rate:
Time to double: 11 yr
E)Annual rate:
Time to double: 15 yr
(Round the answer up to two decimal places. )A)Annual rate:
Time to double: 14 yrB)Annual rate:
Time to double: 11 yrC)Annual rate:
Time to double: 11 yrD)Annual rate:
Time to double: 11 yrE)Annual rate:
Time to double: 15 yr Question
Question
Complete the table for a savings account in which interest is compounded continuously. 
(Round the answer up to two decimal places. )
A)Initial investment:
Time to double: 13 yr
B)Initial investment:
Time to double: 10 yr
C)Initial investment:
Time to double: 12 yr
D)Initial investment:
Time to double: 12 yr
E)Initial investment:
Time to double: 12 yr
(Round the answer up to two decimal places. )A)Initial investment:
Time to double: 13 yrB)Initial investment:
Time to double: 10 yrC)Initial investment:
Time to double: 12 yrD)Initial investment:
Time to double: 12 yrE)Initial investment:
Time to double: 12 yr Question
Select the correct graph for the given function 
A)
B) 
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select a scatter plot of the given data.
R
t 
A)
B)
C)
D)
E)
R
t
A)
B)
C)
D)
E)
Question
Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded continuously at rate r.
(Round the answer up to two decimal places. )
A)
B)
C)
D)
E)
(Round the answer up to two decimal places. )A)
B)
C)
D)
E)
Question
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Complete the table for a savings account in which interest is compounded continuously. 
(Round the answer up to two decimal places. )
A)Annual rate:
Amount after 10 years: 
B)Annual rate:
Amount after 10 years: 
C)Annual rate:
Amount after 10 years: 
D)Annual rate:
Amount after 10 years: 
E)Annual rate:
Amount after 10 years: 
(Round the answer up to two decimal places. )
A)Annual rate:
Amount after 10 years: B)Annual rate:
Amount after 10 years: C)Annual rate:
Amount after 10 years: D)Annual rate:
Amount after 10 years: E)Annual rate:
Amount after 10 years: Question
Select the correct graph for the given function 
A) 
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Complete the table for a savings account in which interest is compounded continuously. 
(Round the answer up to two decimal places. )
A)Time to double:
Amount after 10 years: 
B)Time to double:
Amount after 10 years: 
C)Time to double:
Amount after 10 years: 
D)Time to double:
Amount after 10 years: 
E)Time to double:
Amount after 10 years: 
(Round the answer up to two decimal places. )
A)Time to double:
Amount after 10 years: B)Time to double:
Amount after 10 years: C)Time to double:
Amount after 10 years: D)Time to double:
Amount after 10 years: E)Time to double:
Amount after 10 years: Question
Determine the principal that must be invested at rate r,compounded monthly,so that 
will be available for retirement in t years. 
A)
B)
C)
D)
E)
will be available for retirement in t years. A)
B)
C)
D)
E)
Question
Complete the table for a savings account in which interest is compounded continuously. 
A)Initial investment:
Time to double: 10 yr
B)Initial investment:
Time to double: 10 yr
C)Initial investment:
Time to double: 10 yr
D)Initial investment:
Time to double: 10 yr
E)Initial investment:
Time to double: 10 yr
A)Initial investment:
Time to double: 10 yrB)Initial investment:
Time to double: 10 yrC)Initial investment:
Time to double: 10 yrD)Initial investment:
Time to double: 10 yrE)Initial investment:
Time to double: 10 yr Question
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If $1 is invested in an account over a 10-year period,the amount in the account,where t represents the time in years,is given by 
depending on whether the account pays simple interest at 
or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate?
A)
B)
C)
D)
E)
depending on whether the account pays simple interest at or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate? A)
B)
C)
D)
E)
Question
Complete the table for the radioactive isotope. 
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
Question
Find the exponential model 
that fits the points shown in the table. 
A)
B)
C)
D)
E)
that fits the points shown in the table. A)
B)
C)
D)
E)
Question
Сomplete the table for the radioactive isotope. 
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
Question
Find the exponential model 
that fits the points shown in the graph. 
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
Question
The value V (in millions of dollars)of a famous painting can be modeled by 
where t represents the year,with t = 0 corresponding to 2000.In 2008,the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places. )
A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
where t represents the year,with t = 0 corresponding to 2000.In 2008,the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places. ) A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
Question
The population P of a culture of bacteria is described by the equation 
,where t is the time,in hours,relative to the time at which the population was 1300.What was the population at 
hours?
A)
B)
C)
D)
E)
,where t is the time,in hours,relative to the time at which the population was 1300.What was the population at hours? A)
B)
C)
D)
E)
Question
Complete the table for the radioactive isotope.Round your answer to two decimal places. 
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
Question
Complete the table for the radioactive isotope. 
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
Question
The population P of a bacteria culture is modeled by 
,where t is the time in hours.If the population of the culture was 5800 after 40 hours,how long does it take for the population to double? Round to the nearest tenth of an hour.
A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
,where t is the time in hours.If the population of the culture was 5800 after 40 hours,how long does it take for the population to double? Round to the nearest tenth of an hour.A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
Question
The number y of hits a new search-engine website receives each month can be modeled by 
where t represents the number of months the website has been operating.In the website's third month,there were 10,000 hits.Find the value of k,and use this value to predict the number of hits the website will receive after 22 months.
A)
;About 184,894,691,979 hits
B)
;About 2,921,047 hits
C)
;About 22,832,533,585 hits
D)
;About 57,970,933 hits
E)
;About 1,150,488,266 hits
where t represents the number of months the website has been operating.In the website's third month,there were 10,000 hits.Find the value of k,and use this value to predict the number of hits the website will receive after 22 months. A)
;About 184,894,691,979 hitsB)
;About 2,921,047 hitsC)
;About 22,832,533,585 hitsD)
;About 57,970,933 hitsE)
;About 1,150,488,266 hits Question
The populations P (in thousands)of Horry County,South Carolina from 1970 through 2007 can be modeled by 
where t represents the year,with 
corresponding to 1970.Use the model to complete the table.Round your answer to two decimal places. 
A)
B)
C)
D)
E)
where t represents the year,with corresponding to 1970.Use the model to complete the table.Round your answer to two decimal places. A)
B)
C)
D)
E)
Question
Find the exponential model 
that fits the points shown in the graph. 
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
Question
Complete the table for the radioactive isotope.Round your answer to two decimal places. 
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
Question
Find the exponential model 
that fits the points shown in the table. 
A)
B)
C)
D)
E)
that fits the points shown in the table. A)
B)
C)
D)
E)
Question
Select a scatter plot of the given data. r
4%
6%
8%
10%
12%
14%
T
28)01
18)85
14)27
11)53
9)69
8)38
A)
B)
C)
D)
E)
4%
6%
8%
10%
12%
14%
T
28)01
18)85
14)27
11)53
9)69
8)38
A)
B)
C)
D)
E)
Question
The population P (in thousands)of Reno,Nevada from 2000 through 2007 can be modeled by 
where t represents the year,with 
corresponding to 2000.In 2005,the population of Reno was about 395,000.According to the model,during what year will the population reach 486,000.00?
A)2013
B)2005
C)2021
D)2017
E)2009
where t represents the year,with corresponding to 2000.In 2005,the population of Reno was about 395,000.According to the model,during what year will the population reach 486,000.00? A)2013
B)2005
C)2021
D)2017
E)2009
Question
Complete the table for the radioactive isotope.Round your answer to two decimal places.
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
Question
The population P (in thousands)of Orlando,Florida from 2000 through 2007 can be modeled by 
where t represents the year,with 
corresponding to 2000.In 2006,the population of Orlando,Florida was about 1,883,000.00.Find the value of k.
A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
where t represents the year,with corresponding to 2000.In 2006,the population of Orlando,Florida was about 1,883,000.00.Find the value of k. A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
Question
Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded annually at rate r.Round your answer to two decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
The chemical acidity of a solution is measured in units of pH: 
,where 
is the hydrogen ion concentration in the solution.What is 
if the 
?
A)3.800
B)
C)
D)
E)
,where is the hydrogen ion concentration in the solution.What is if the ?A)3.800
B)
C)
D)
E)
Question
The population P of a culture of bacteria is described by the equation 
,where t is the time,in hours,relative to the time at which the population was 1600.
(a)What was the population at
hours? Show your work.
(b)After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
,where t is the time,in hours,relative to the time at which the population was 1600.(a)What was the population at
hours? Show your work.(b)After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
Question
A population growing at an annual rate r will triple in a time t given by the formula 
.If the growth rate remains constant and equals 9% per year,how long will it take the population of the town to triple?
A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
.If the growth rate remains constant and equals 9% per year,how long will it take the population of the town to triple? A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
Question
The chemical acidity of a solution is measured in units of pH: 
,where 
is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3,how many times higher is its 
than pure water's,which has a pH of 7?
A)
B)
C)
D)
E)7
,where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3,how many times higher is its than pure water's,which has a pH of 7?A)
B)
C)
D)
E)7
Question
Find the intensity I of an earthquake measuring R on the Richter scale 
.
Costa Rica in 2009,
A)
B)
C)
D)
E)
. Costa Rica in 2009,
A)
B)
C)
D)
E)
Question
The chemical acidity of a solution is measured in units of pH: 
,where 
is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4,how many times higher is its 
than pure water's,which has a pH of 7?
A)
B)
C)7
D)
E)
,where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4,how many times higher is its than pure water's,which has a pH of 7?A)
B)
C)7
D)
E)
Question
Question
Carbon dating presumes that,as long as a plant or animal is alive,the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants,like paper,will decline exponentially according to the equation 
,where A represents the amount of 14C in the object,Ao represents the amount of 14C in living organisms,and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism,how old would you predict it to be? Round to the nearest year.
A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
,where A represents the amount of 14C in the object,Ao represents the amount of 14C in living organisms,and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism,how old would you predict it to be? Round to the nearest year.A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
Question
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones.The numbers of cell sites from 1985 through 2008 can be modeled by 
where t represents the year,with 
corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 .
A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
where t represents the year,with corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 . A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
Question
Find the magnitude R of an earthquake of intensity 
. 
A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
. A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
Question
Find the magnitude R of an earthquake of intensity 
. 
A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
. A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
Question
Carbon dating presumes that,as long as a plant or animal is alive,the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants,like paper,will decline exponentially according to the equation 
,where A represents the amount of 14C in the object,Ao represents the amount of 14C in living organisms,and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism,how old would you predict it to be? Round to the nearest year.
A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
,where A represents the amount of 14C in the object,Ao represents the amount of 14C in living organisms,and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism,how old would you predict it to be? Round to the nearest year.A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
Question
Find the intensity I of an earthquake measuring R on the Richter scale 
.
Southern Sumatra,Indonesia in 2007,
A)
B)
C)
D)
E)
. Southern Sumatra,Indonesia in 2007,
A)
B)
C)
D)
E)
Question
The populations P (in thousands)of Pittsburgh,Pennsylvania from 2000 through 2007 can be modeled by 
where t represents the year,with 
corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
where t represents the year,with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
Question
The chemical acidity of a solution is measured in units of pH: 
,where 
is the hydrogen ion concentration in the solution.What is 
if the 
?
A)
B)
C)
D)
E)6.800
,where is the hydrogen ion concentration in the solution.What is if the ?A)
B)
C)
D)
E)6.800
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Deck 22: Exponential and Logarithmic Models
1
An initial investment of $4000 grows at an annual interest rate of 5% compounded continuously.How long will it take to double the investment?
A)1 year
B)14.40 years
C)13.86 years
D)14.86 years
E)13.40 years
A)1 year
B)14.40 years
C)13.86 years
D)14.86 years
E)13.40 years
13.86 years
2
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
An initial investment of $5000 doubles in value in 6.3 years.Assuming continuous compounding,what was the interest rate? Round to the nearest tenth of a percent.
A)11.0%
B)4.8%
C)5.5%
D)6.3%
E)100%
A)11.0%
B)4.8%
C)5.5%
D)6.3%
E)100%
11.0%
4
Complete the table for a savings account in which interest is compounded continuously.
(Round the answer up to two decimal places. )
A)Time to double: Amount after 10 years:
B)Time to double: Amount after 10 years:
C)Time to double: Amount after 10 years:
D)Time to double: Amount after 10 years:
E)Time to double: Amount after 10 years:
(Round the answer up to two decimal places. )
A)Time to double:
Amount after 10 years: B)Time to double:
Amount after 10 years: C)Time to double:
Amount after 10 years: D)Time to double:
Amount after 10 years: E)Time to double:
Amount after 10 years: Unlock Deck
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5
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Complete the table for a savings account in which interest is compounded continuously.
(Round the answer up to two decimal places. )
A)Annual rate: Amount after 10 years:
B)Annual rate: Amount after 10 years:
C)Annual rate: Amount after 10 years:
D)Annual rate: Amount after 10 years:
E)Annual rate: Amount after 10 years:
(Round the answer up to two decimal places. )
A)Annual rate:
Amount after 10 years: B)Annual rate:
Amount after 10 years: C)Annual rate:
Amount after 10 years: D)Annual rate:
Amount after 10 years: E)Annual rate:
Amount after 10 years: Unlock Deck
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7
Complete the table for a savings account in which interest is compounded continuously. (Round the answer up to two decimal places. )
A)Annual rate: Time to double: 10
B)Annual rate: Time to double: 15 yr
C)Annual rate: Time to double: 10
D)Annual rate: Time to double: 14 yr
E)Annual rate: Time to double: 10
(Round the answer up to two decimal places. )A)Annual rate:
Time to double: 10 B)Annual rate:
Time to double: 15 yrC)Annual rate:
Time to double: 10 D)Annual rate:
Time to double: 14 yrE)Annual rate:
Time to double: 10 Unlock Deck
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8
Complete the table for a savings account in which interest is compounded continuously. (Round the answer up to two decimal places. )
A)Annual rate: Time to double: 14 yr
B)Annual rate: Time to double: 11 yr
C)Annual rate: Time to double: 11 yr
D)Annual rate: Time to double: 11 yr
E)Annual rate: Time to double: 15 yr
(Round the answer up to two decimal places. )A)Annual rate:
Time to double: 14 yrB)Annual rate:
Time to double: 11 yrC)Annual rate:
Time to double: 11 yrD)Annual rate:
Time to double: 11 yrE)Annual rate:
Time to double: 15 yr Unlock Deck
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9
Which investment option will pay the most interest?
A)10.2% compounded quarterly
B)10.4% compounded semiannually
C)10.0% compounded continuously
D)These investments all pay the same amount of interest.
E)10.6% compounded annually
A)10.2% compounded quarterly
B)10.4% compounded semiannually
C)10.0% compounded continuously
D)These investments all pay the same amount of interest.
E)10.6% compounded annually
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10
Complete the table for a savings account in which interest is compounded continuously. (Round the answer up to two decimal places. )
A)Initial investment: Time to double: 13 yr
B)Initial investment: Time to double: 10 yr
C)Initial investment: Time to double: 12 yr
D)Initial investment: Time to double: 12 yr
E)Initial investment: Time to double: 12 yr
(Round the answer up to two decimal places. )A)Initial investment:
Time to double: 13 yrB)Initial investment:
Time to double: 10 yrC)Initial investment:
Time to double: 12 yrD)Initial investment:
Time to double: 12 yrE)Initial investment:
Time to double: 12 yr Unlock Deck
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11
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Select a scatter plot of the given data.
R t
A)
B)
C)
D)
E)
R
t
A)
B)
C)
D)
E)
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13
Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded continuously at rate r.
(Round the answer up to two decimal places. )
A)
B)
C)
D)
E)
(Round the answer up to two decimal places. )A)
B)
C)
D)
E)
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14
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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15
Complete the table for a savings account in which interest is compounded continuously.
(Round the answer up to two decimal places. )
A)Annual rate: Amount after 10 years:
B)Annual rate: Amount after 10 years:
C)Annual rate: Amount after 10 years:
D)Annual rate: Amount after 10 years:
E)Annual rate: Amount after 10 years:
(Round the answer up to two decimal places. )
A)Annual rate:
Amount after 10 years: B)Annual rate:
Amount after 10 years: C)Annual rate:
Amount after 10 years: D)Annual rate:
Amount after 10 years: E)Annual rate:
Amount after 10 years: Unlock Deck
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16
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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17
Complete the table for a savings account in which interest is compounded continuously.
(Round the answer up to two decimal places. )
A)Time to double: Amount after 10 years:
B)Time to double: Amount after 10 years:
C)Time to double: Amount after 10 years:
D)Time to double: Amount after 10 years:
E)Time to double: Amount after 10 years:
(Round the answer up to two decimal places. )
A)Time to double:
Amount after 10 years: B)Time to double:
Amount after 10 years: C)Time to double:
Amount after 10 years: D)Time to double:
Amount after 10 years: E)Time to double:
Amount after 10 years: Unlock Deck
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18
Determine the principal that must be invested at rate r,compounded monthly,so that will be available for retirement in t years.
A)
B)
C)
D)
E)
will be available for retirement in t years. A)
B)
C)
D)
E)
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19
Complete the table for a savings account in which interest is compounded continuously.
A)Initial investment: Time to double: 10 yr
B)Initial investment: Time to double: 10 yr
C)Initial investment: Time to double: 10 yr
D)Initial investment: Time to double: 10 yr
E)Initial investment: Time to double: 10 yr
A)Initial investment:
Time to double: 10 yrB)Initial investment:
Time to double: 10 yrC)Initial investment:
Time to double: 10 yrD)Initial investment:
Time to double: 10 yrE)Initial investment:
Time to double: 10 yr Unlock Deck
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20
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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21
If $1 is invested in an account over a 10-year period,the amount in the account,where t represents the time in years,is given by depending on whether the account pays simple interest at or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate?
A)
B)
C)
D)
E)
depending on whether the account pays simple interest at or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate? A)
B)
C)
D)
E)
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22
Complete the table for the radioactive isotope.
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
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23
Find the exponential model that fits the points shown in the table.
A)
B)
C)
D)
E)
that fits the points shown in the table. A)
B)
C)
D)
E)
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24
Сomplete the table for the radioactive isotope.
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
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25
Find the exponential model that fits the points shown in the graph.
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
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26
The value V (in millions of dollars)of a famous painting can be modeled by where t represents the year,with t = 0 corresponding to 2000.In 2008,the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places. )
A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
where t represents the year,with t = 0 corresponding to 2000.In 2008,the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places. ) A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
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27
The population P of a culture of bacteria is described by the equation ,where t is the time,in hours,relative to the time at which the population was 1300.What was the population at hours?
A)
B)
C)
D)
E)
,where t is the time,in hours,relative to the time at which the population was 1300.What was the population at hours? A)
B)
C)
D)
E)
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28
Complete the table for the radioactive isotope.Round your answer to two decimal places.
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
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29
Complete the table for the radioactive isotope.
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
A)Initial Quantity:
B)Initial Quantity:
C)Initial Quantity:
D)Initial Quantity:
E)Initial Quantity:
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30
The population P of a bacteria culture is modeled by ,where t is the time in hours.If the population of the culture was 5800 after 40 hours,how long does it take for the population to double? Round to the nearest tenth of an hour.
A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
,where t is the time in hours.If the population of the culture was 5800 after 40 hours,how long does it take for the population to double? Round to the nearest tenth of an hour.A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
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31
The number y of hits a new search-engine website receives each month can be modeled by where t represents the number of months the website has been operating.In the website's third month,there were 10,000 hits.Find the value of k,and use this value to predict the number of hits the website will receive after 22 months.
A) ;About 184,894,691,979 hits
B) ;About 2,921,047 hits
C) ;About 22,832,533,585 hits
D) ;About 57,970,933 hits
E) ;About 1,150,488,266 hits
where t represents the number of months the website has been operating.In the website's third month,there were 10,000 hits.Find the value of k,and use this value to predict the number of hits the website will receive after 22 months. A)
;About 184,894,691,979 hitsB)
;About 2,921,047 hitsC)
;About 22,832,533,585 hitsD)
;About 57,970,933 hitsE)
;About 1,150,488,266 hits Unlock Deck
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32
The populations P (in thousands)of Horry County,South Carolina from 1970 through 2007 can be modeled by where t represents the year,with corresponding to 1970.Use the model to complete the table.Round your answer to two decimal places.
A)
B)
C)
D)
E)
where t represents the year,with corresponding to 1970.Use the model to complete the table.Round your answer to two decimal places. A)
B)
C)
D)
E)
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33
Find the exponential model that fits the points shown in the graph.
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
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34
Complete the table for the radioactive isotope.Round your answer to two decimal places.
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
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35
Find the exponential model that fits the points shown in the table.
A)
B)
C)
D)
E)
that fits the points shown in the table. A)
B)
C)
D)
E)
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36
Select a scatter plot of the given data. r
4%
6%
8%
10%
12%
14%
T
28)01
18)85
14)27
11)53
9)69
8)38
A)
B)
C)
D)
E)
4%
6%
8%
10%
12%
14%
T
28)01
18)85
14)27
11)53
9)69
8)38
A)
B)
C)
D)
E)
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37
The population P (in thousands)of Reno,Nevada from 2000 through 2007 can be modeled by where t represents the year,with corresponding to 2000.In 2005,the population of Reno was about 395,000.According to the model,during what year will the population reach 486,000.00?
A)2013
B)2005
C)2021
D)2017
E)2009
where t represents the year,with corresponding to 2000.In 2005,the population of Reno was about 395,000.According to the model,during what year will the population reach 486,000.00? A)2013
B)2005
C)2021
D)2017
E)2009
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38
Complete the table for the radioactive isotope.Round your answer to two decimal places.
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
A)Amount after 1000 years:
B)Amount after 1000 years:
C)Amount after 1000 years:
D)Amount after 1000 years:
E)Amount after 1000 years:
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39
The population P (in thousands)of Orlando,Florida from 2000 through 2007 can be modeled by where t represents the year,with corresponding to 2000.In 2006,the population of Orlando,Florida was about 1,883,000.00.Find the value of k.
A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
where t represents the year,with corresponding to 2000.In 2006,the population of Orlando,Florida was about 1,883,000.00.Find the value of k. A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
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40
Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded annually at rate r.Round your answer to two decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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41
An initial investment of $2000 grows at an annual interest rate of 4% compounded continuously.How long will it take to double the investment?
A)17.33 years
B)18.33 years
C)18.00 years
D)17.00 years
E)1 year
A)17.33 years
B)18.33 years
C)18.00 years
D)17.00 years
E)1 year
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42
The chemical acidity of a solution is measured in units of pH: ,where is the hydrogen ion concentration in the solution.What is if the ?
A)3.800
B)
C)
D)
E)
,where is the hydrogen ion concentration in the solution.What is if the ?A)3.800
B)
C)
D)
E)
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43
The population P of a culture of bacteria is described by the equation ,where t is the time,in hours,relative to the time at which the population was 1600.
(a)What was the population at hours? Show your work.
(b)After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
,where t is the time,in hours,relative to the time at which the population was 1600.(a)What was the population at
hours? Show your work.(b)After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
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44
A population growing at an annual rate r will triple in a time t given by the formula .If the growth rate remains constant and equals 9% per year,how long will it take the population of the town to triple?
A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
.If the growth rate remains constant and equals 9% per year,how long will it take the population of the town to triple? A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
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45
The chemical acidity of a solution is measured in units of pH: ,where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3,how many times higher is its than pure water's,which has a pH of 7?
A)
B)
C)
D)
E)7
,where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3,how many times higher is its than pure water's,which has a pH of 7?A)
B)
C)
D)
E)7
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46
Find the intensity I of an earthquake measuring R on the Richter scale .
Costa Rica in 2009,
A)
B)
C)
D)
E)
. Costa Rica in 2009,
A)
B)
C)
D)
E)
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47
The chemical acidity of a solution is measured in units of pH: ,where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4,how many times higher is its than pure water's,which has a pH of 7?
A)
B)
C)7
D)
E)
,where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4,how many times higher is its than pure water's,which has a pH of 7?A)
B)
C)7
D)
E)
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48
Tritium,a radioactive isotope of hydrogen,has a half-life of 12.4 years.Of an initial sample of 33 grams,how much will remain after 69 years?
A)0 grams
B)29.1351 grams
C)10.9074 grams
D)8.2500 grams
E)0.6973 grams
A)0 grams
B)29.1351 grams
C)10.9074 grams
D)8.2500 grams
E)0.6973 grams
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49
Carbon dating presumes that,as long as a plant or animal is alive,the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants,like paper,will decline exponentially according to the equation ,where A represents the amount of 14C in the object,Ao represents the amount of 14C in living organisms,and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism,how old would you predict it to be? Round to the nearest year.
A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
,where A represents the amount of 14C in the object,Ao represents the amount of 14C in living organisms,and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism,how old would you predict it to be? Round to the nearest year.A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
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50
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones.The numbers of cell sites from 1985 through 2008 can be modeled by where t represents the year,with corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 .
A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
where t represents the year,with corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 . A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
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51
Find the magnitude R of an earthquake of intensity .
A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
. A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
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52
Find the magnitude R of an earthquake of intensity .
A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
. A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
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53
Carbon dating presumes that,as long as a plant or animal is alive,the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants,like paper,will decline exponentially according to the equation ,where A represents the amount of 14C in the object,Ao represents the amount of 14C in living organisms,and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism,how old would you predict it to be? Round to the nearest year.
A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
,where A represents the amount of 14C in the object,Ao represents the amount of 14C in living organisms,and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism,how old would you predict it to be? Round to the nearest year.A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
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54
Find the intensity I of an earthquake measuring R on the Richter scale .
Southern Sumatra,Indonesia in 2007,
A)
B)
C)
D)
E)
. Southern Sumatra,Indonesia in 2007,
A)
B)
C)
D)
E)
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55
The populations P (in thousands)of Pittsburgh,Pennsylvania from 2000 through 2007 can be modeled by where t represents the year,with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
where t represents the year,with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
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56
The chemical acidity of a solution is measured in units of pH: ,where is the hydrogen ion concentration in the solution.What is if the ?
A)
B)
C)
D)
E)6.800
,where is the hydrogen ion concentration in the solution.What is if the ?A)
B)
C)
D)
E)6.800
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