Question 1

Consider the following figure, where Graph I has equation   , Graph II has equation , Graph III has equation  , and Graph IV has equation  .
  Is  positive or negative?

Accepted Answer

The answer of Consider the following figure, where Graph I...

Question 2

The graph of the exponential function Is shown below. Suppose Represents a city's population, in thousands, t years after 1995. Which of the following quantities are equivalent?

Accepted Answer

A)   
B)  Approximately -295 thousand 
C)  Approximately 705 thousand 
D)  The change in the city's population between 1996 and 2000 
E)  
F) The rate at which the population is declining between 1996 and 2000

Question 3

Kathleen opens a savings account with $1200. The account earns 3.3% annual interest compounded monthly. How much will be in the account after 16 years?

Accepted Answer

The answer of Kathleen opens a savings account with $1200....

Question 4

Let   be the intersection of the graphs of the two exponential functions  and  , where  . If b is decreased, does  increase, decrease, or stay the same?

Accepted Answer

The answer of Let   be the intersection of...

Question 5

The US population in 2005 was approximately 296.4 million. Assume the population increases at a rate of 1.31% per year. How many million people would you expect to live in the United States in the year 2020? Round to 1 decimal place.

Accepted Answer

The answer of The US population in 2005 was approximately...

Question 6

Which of the graphs in the following figure is the graph of   ?

Accepted Answer

The answer of Which of the graphs in the following...

Question 7

In the exponential formula

Accepted Answer

The answer of In the exponential formula 
 ...

Question 8

Accepted Answer

The answer of  ...

Question 9

Solve   graphically for x if y = 13. Round to 1 decimal place.

Accepted Answer

The answer of Solve   graphically for x if...

Question 10

Write a formula that gives the value of an investment which is initially worth $124,000 and gains value at a rate of 2.6% per year.

Accepted Answer

The answer of Write a formula that gives the value...

Question 11

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. The following three graphs correspond with the functions in the table. Which is the graph of g?

Accepted Answer

A)   
B)   
C)

Question 12

What is the maximum number of solutions the equation 4 + x = 4(2)^x can have?

Accepted Answer

The answer of What is the maximum number of solutions...

Question 13

You place $10,000 in an account. You hope to have $22,000 in the account after 15 years. What effective annual yield is needed to accomplish this? Give your answer correct to four decimal places.

Accepted Answer

The answer of You place $10,000 in an account. You...

Question 14

A store's sales of cassette tapes of music decreased by 8% per year over a period of 7 years. By what total percent did sales of cassette tapes decrease over this time period? Round to 1 decimal place.

Accepted Answer

The answer of A store's sales of cassette tapes of...

Question 15

The amount of pollution in a harbor t hours after it was contaminated by illegal dumping is given by   tons. After how many hours is there less than 23 tons of pollution in the harbor? Round to 1 decimal place.

Accepted Answer

The answer of The amount of pollution in a harbor...

Question 16

Find a possible formula for the exponential function   such that the points  and  are on the graph.

Accepted Answer

The answer of Find a possible formula for the exponential...

Question 17

An ant population grows at a continuous growth rate of 11.2%. If the population starts with 27,000 ants, how many ants are there after 6 months? Round your answer to the nearest ant.

Accepted Answer

The answer of An ant population grows at a continuous...

Question 18

The graph of   has a horizontal asymptote at  . (If there is no horizontal asymptote, enter "DNE".)

Accepted Answer

The answer of The graph of   has a...

Question 19

The following figure gives the graph of   , where C is the computer hard disk capacity (in hundreds of megabytes) that could be bought for $500 t years past 1989. If the trend displayed in the graph continued, in what year would the capacity that can be bought for $500 be 9700?

Accepted Answer

The answer of The following figure gives the graph of...

Question 20

An investment grows by 1.4% per year for 25 years. By what percent does it increase over the 25-year period? Give your answer correct to four decimal places.

Accepted Answer

The answer of An investment grows by 1.4% per year...

Exam 4: Exponential Functions

Consider the following figure, where Graph I has equation , Graph II has equation , Graph III has equation , and Graph IV has equation . Is positive or negative?

The graph of the exponential function Is shown below. Suppose Represents a city's population, in thousands, t years after 1995. Which of the following quantities are equivalent?

Kathleen opens a savings account with $1200. The account earns 3.3% annual interest compounded monthly. How much will be in the account after 16 years?

Let be the intersection of the graphs of the two exponential functions and , where . If b is decreased, does increase, decrease, or stay the same?

The US population in 2005 was approximately 296.4 million. Assume the population increases at a rate of 1.31% per year. How many million people would you expect to live in the United States in the year 2020? Round to 1 decimal place.

Which of the graphs in the following figure is the graph of ?

In the exponential formula

Solve graphically for x if y = 13. Round to 1 decimal place.

Write a formula that gives the value of an investment which is initially worth $124,000 and gains value at a rate of 2.6% per year.

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. The following three graphs correspond with the functions in the table. Which is the graph of g?

What is the maximum number of solutions the equation 4 + x = 4(2)x can have?

You place $10,000 in an account. You hope to have $22,000 in the account after 15 years. What effective annual yield is needed to accomplish this? Give your answer correct to four decimal places.

A store's sales of cassette tapes of music decreased by 8% per year over a period of 7 years. By what total percent did sales of cassette tapes decrease over this time period? Round to 1 decimal place.

The amount of pollution in a harbor t hours after it was contaminated by illegal dumping is given by tons. After how many hours is there less than 23 tons of pollution in the harbor? Round to 1 decimal place.

Find a possible formula for the exponential function such that the points and are on the graph.

An ant population grows at a continuous growth rate of 11.2%. If the population starts with 27,000 ants, how many ants are there after 6 months? Round your answer to the nearest ant.

The graph of has a horizontal asymptote at . (If there is no horizontal asymptote, enter "DNE".)

The following figure gives the graph of , where C is the computer hard disk capacity (in hundreds of megabytes) that could be bought for $500 t years past 1989. If the trend displayed in the graph continued, in what year would the capacity that can be bought for $500 be 9700?

An investment grows by 1.4% per year for 25 years. By what percent does it increase over the 25-year period? Give your answer correct to four decimal places.

What is the maximum number of solutions the equation 4 + x = 4(2)^x can have?