Question 1

The following function gives the value, V, of an investment as a function of y, the years since the original investment:
 Find the doubling time to the nearest year.
A) 1,400
B) 19
C) 1.28
D) 3

Accepted Answer

The answer of The following function gives the value, V,...

Question 2

The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay:
  
Find the half-life.

Accepted Answer

The answer of The following function gives the amount, A,...

Question 3

The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay:
  Find the half-life to the nearest year.

Accepted Answer

The answer of The following function gives the amount, A,...

Question 4

The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay:
  
Use the "Rule of 70" to estimate the half-life to the nearest year.

Accepted Answer

The answer of The following function gives the amount, A,...

Question 5

The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay:
 Find the half-life to the nearest year.
A) 65
B) 7
C) 0.9
D) 11

Accepted Answer

The answer of The following function gives the amount, A,...

Question 6

Peru's population increased from 28.3 million to 28.7 million in 2006. Assuming this (exponential) growth continues, to the nearest year how many years will it take for the population to double?

Accepted Answer

The answer of Peru's population increased from 28.3 million to...

Question 7

The population of the world increased from 5.61 billion in 1995 to 6.03 billion in 2000. Assuming this (exponential) growth continues, to the nearest year how many years will it take for the world's population to double?

Accepted Answer

The answer of The population of the world increased from...

Question 8

Which interest rate will approximately double your money in 18 years?
A) 4 %
B) 28 %
C) 7 %
D) 1.8 %

Accepted Answer

The answer of Which interest rate will approximately double your...

Question 9

Create the formula for the graph.

Accepted Answer

The answer of Create the formula for the graph.
 ...

Question 10

Determine the half-life of the graph. Assume each marking on the x-axis represents one unit of time. Round the answer to 2 decimal places.

Accepted Answer

The answer of Determine the half-life of the graph. Assume...

Question 11

Create the formula for the graph.

Accepted Answer

The answer of Create the formula for the graph.
 ...

Question 12

Determine the doubling time for the graph. Assume each marking on the x-axis represents one unit of time. Round the answer to 2 decimal places.

Accepted Answer

The answer of Determine the doubling time for the graph....

Question 13

Fill in the blank:

A) approximately equal to
B) less than
C) greater than
D) Unable to determine

Accepted Answer

The answer of Fill in the blank:

A) approximately equal to
B)...

Question 14

Frank borrowed money from his older sister. They agreed to terms where Frank would pay off 9% of the remaining balance every month. How long will it take for Frank to reduce the balance to 1/2 of the original amount? Use the rule of 70 and round to the nearest month.

Accepted Answer

The answer of Frank borrowed money from his older sister....

Question 15

Stacey is waiting for the ice on the lake to become thick enough to go ice fishing. At the current temperature, the thickness of the ice is increasing by 1.5% per hour. How long will it take for the ice to double in thickness? Use the rule of 70 and round to the nearest hour.

Accepted Answer

The answer of Stacey is waiting for the ice on...

Question 16

Find the effective interest rate of an account that pays 8% interest compounded daily (365 times each year).
Write your answer as a percent rounded to 2 decimal places, such as 4.13%.

Accepted Answer

The answer of Find the effective interest rate of an...

Question 17

Alice invests $9,000 in an account offering 7.5% interest compounded daily (365 times per year).
Find the value of the account after 10 years. Round your answer to the nearest cent.

Accepted Answer

The answer of Alice invests $9,000 in an account offering...

Question 18

Alice invests $18,000 in an account offering 2.5% interest compounded monthly (12 times per year).
How many years until the account value reaches $20,000? Round your answer to the nearest year.

Accepted Answer

The answer of Alice invests $18,000 in an account offering...

Question 19

Alice invests $18,000 in an account offering 3% interest compounded biannually (2 times per year).
A) Find the value of the account after 8 years. Round your answer to the nearest cent.
B) How many years until the account value reaches $34,000? Round your answer to the nearest year.

Accepted Answer

The answer of Alice invests $18,000 in an account offering...

Question 20

Find the effective interest rate of an account that pays 5% interest compounded continuously.
Write your answer as a percent rounded to 2 decimal places, such as 4.13%.

Accepted Answer

The answer of Find the effective interest rate of an...

Quiz 5: Growth and Decay: An Introduction to Exponential Functions

The following function gives the value, V, of an investment as a function of y, the years since the original investment: Find the doubling time to the nearest year.

The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay: Find the half-life.

The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay: Find the half-life to the nearest year.

The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay: Use the "Rule of 70" to estimate the half-life to the nearest year.

The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay: Find the half-life to the nearest year.

Peru's population increased from 28.3 million to 28.7 million in 2006. Assuming this (exponential) growth continues, to the nearest year how many years will it take for the population to double?

The population of the world increased from 5.61 billion in 1995 to 6.03 billion in 2000. Assuming this (exponential) growth continues, to the nearest year how many years will it take for the world's population to double?

Which interest rate will approximately double your money in 18 years?

Create the formula for the graph.

Determine the half-life of the graph. Assume each marking on the x-axis represents one unit of time. Round the answer to 2 decimal places.

Create the formula for the graph.

Determine the doubling time for the graph. Assume each marking on the x-axis represents one unit of time. Round the answer to 2 decimal places.

Fill in the blank:

Frank borrowed money from his older sister. They agreed to terms where Frank would pay off 9% of the remaining balance every month. How long will it take for Frank to reduce the balance to 1/2 of the original amount? Use the rule of 70 and round to the nearest month.

Stacey is waiting for the ice on the lake to become thick enough to go ice fishing. At the current temperature, the thickness of the ice is increasing by 1.5% per hour. How long will it take for the ice to double in thickness? Use the rule of 70 and round to the nearest hour.

Find the effective interest rate of an account that pays 8% interest compounded daily (365 times each year). Write your answer as a percent rounded to 2 decimal places, such as 4.13%.

Alice invests $9,000 in an account offering 7.5% interest compounded daily (365 times per year). Find the value of the account after 10 years. Round your answer to the nearest cent.

Alice invests $18,000 in an account offering 2.5% interest compounded monthly (12 times per year). How many years until the account value reaches $20,000? Round your answer to the nearest year.

Alice invests $18,000 in an account offering 3% interest compounded biannually (2 times per year). A) Find the value of the account after 8 years. Round your answer to the nearest cent. B) How many years until the account value reaches $34,000? Round your answer to the nearest year.

Find the effective interest rate of an account that pays 5% interest compounded continuously. Write your answer as a percent rounded to 2 decimal places, such as 4.13%.