Module 13 Partner Quiz

1

Joaquin invested $2000 into an account that has a 1.5% interest rate compounded annually. What is the value of the investment after 10 years?

1

Amanda is saving up to buy a new kayak in 3 years. She invests $1500 into an account with a rate of 2.14% compounded quarterly. Which expression would you use to find the amount of money she'll have in 3 years?

1

Zach wants to get his own place. He needs to save up $3,000 for a security deposit on an apartment. He invests $2,500 in an account with a 1.86% interest rate, compounded semi-annually. Use the graph to determine how long it will take him to have enough money to move out.
Round to the nearest whole year.

1

Jacob saw a For Sale ad for a 2016 Mini Cooper for $10,999. Since it's for sale by the owner, the only extra fee he'll need to pay is $400 for registration. He remembers his parents invested $8500 into an account for him 10 years ago. The account gets compounded daily with a 2.7% interest rate. Can Jacob afford his dream car?

1

Mrs. Considine needs a $25,000 loan to renovate her kitchen. She goes to the bank and they find her credit score is 714, so they agree to loan her the money and inform her that the loan will be compounded weekly for 4 years.

How much interest will Mrs. Considine end up paying by the time she pays off the loan in 4 years? Round to the nearest hundredth.

1

Natalie and Delaney each apply for a $9,000 loan to pay for room & board at a camp this summer. The bank agrees to the loans and informs them that it will be compounded monthly for 2 years, and interest rates will be calculated according to the table below. Natalie's credit score is 685 and Delaney's credit score is 625.

By the time they pay off their loans in 2 years, how much more money will Delaney have paid than Natalie due to her lower credit score? Round to the nearest hundredth.

1

When Addie was 5 years old, her aunt started a college fund for her, and deposited some money into an account that is compounded semi-annually with an interest rate of 1.27%. Now that Addie is 15 years old, she looked up the account and saw that there is currently $8,512.21 in it. How much money did her aunt invest for her when she was 5?

1

Ayden wants to go see the Red Hot Chili Peppers in San Diego this July. The cost of the ticket for the seat he wants is $235. He found an account where his money would be compounded continuously with an interest rate of 2.3%. How much money does he need to invest now, so he can afford his ticket in July?
Hint: t represents months in this scenario.

Round to the nearest hundredth.

1

Tanner took out a car loan for $15,000. The bank gave him an interest rate of 4.05% that will be compounded continuously for 6 years. What will Tanner's monthly payment be to pay off this loan?

Round to the nearest hundredth.

1

A biologist finds that a lake contains 5,000 fish. Through observation, the biologist finds the number of fish in the lake compounds continuously at a rate of 5% each year. How many fish will there be in the lake in 7 years?
Round to the nearest whole fish.

1

The population of Nowheresville, Iowa was estimated to be about 5,000 people in 1980. The population began to grow at an exponential rate which can be modeled by the growth function below. t represents the time in years after 1980 and P(t) is the population at time t.

What is the population of Nowheresville now? Please round to the nearest whole person. :)

1

What is the y-intercept of the exponential function in the graph?

Write your answer as an ordered pair (x,y).

2

Select the correct domain AND range for the function below.
Hint: it may be helpful to sketch its graph.

2

Select the correct domain AND range for the graph below.

4

Categorize each as exponential growth or exponential decay.

f(x)=(3)^-x
f(t)=7(1.02)^t
A $85,000 Mustang loses value over the course of 12 years.
y=80(0.6)^x
A $450,000 house now costs $493,000.
y=2(5/4)^x

Exponential Growth
Exponential Decay

3

Select ALL the transformations of the function below compared to its parent function y=4^x.

1

Where is the horizontal asymptote on the graph of y=2e^x-1?

1

Joaquin invested $2000 into an account that has a 1.5% interest rate compounded annually. What is the value of the investment after 10 years?

Amanda is saving up to buy a new kayak in 3 years. She invests $1500 into an account with a rate of 2.14% compounded quarterly. Which expression would you use to find the amount of money she'll have in 3 years?

Tanner took out a car loan for $15,000. The bank gave him an interest rate of 4.05% that will be compounded continuously for 6 years. What will Tanner's monthly payment be to pay off this loan?Round to the nearest hundredth.

A biologist finds that a lake contains 5,000 fish. Through observation, the biologist finds the number of fish in the lake compounds continuously at a rate of 5% each year. How many fish will there be in the lake in 7 years?Round to the nearest whole fish.

What is the y-intercept of the exponential function in the graph?Write your answer as an ordered pair (x,y).

Select the correct domain AND range for the function below.Hint: it may be helpful to sketch its graph.

Select the correct domain AND range for the graph below.

Categorize each as exponential growth or exponential decay.

Select ALL the transformations of the function below compared to its parent function y=4^x.

Where is the horizontal asymptote on the graph of y=2e^x-1?

Select the correct graph for equation.

Tanner took out a car loan for $15,000. The bank gave him an interest rate of 4.05% that will be compounded continuously for 6 years. What will Tanner's monthly payment be to pay off this loan?

Round to the nearest hundredth.

A biologist finds that a lake contains 5,000 fish. Through observation, the biologist finds the number of fish in the lake compounds continuously at a rate of 5% each year. How many fish will there be in the lake in 7 years?
Round to the nearest whole fish.

What is the y-intercept of the exponential function in the graph?

Write your answer as an ordered pair (x,y).

Select the correct domain AND range for the function below.
Hint: it may be helpful to sketch its graph.