.a. A renter would like to save $25,000 for a down payment for a house. She currently has saved $18,000. At what interest rate, compounded monthly, would she need to invest $18,000 in order to have $25,000 in 5 years? (Round the percent to two decimal places)   b. A car with an initial value of $45,000 depreciates (loses value) exponentially. The value of the car after 2 years is estimated to be $36,225.   Write an exponential function in the form y=C(b^t) to model the value of the car after tt years.   What does your model predict the value of the car to be after 10 years?   I think the answer is approximately $8,200 if the normal depreciation rate is 15.60%. Is that correct.

Cornerstones of Financial Accounting
4th Edition
ISBN:9781337690881
Author:Jay Rich, Jeff Jones
Publisher:Jay Rich, Jeff Jones
ChapterA3: Time Value Of Money
Section: Chapter Questions
Problem 7CE
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1.a. A renter would like to save $25,000 for a down payment for a house. She currently has saved $18,000. At what interest rate, compounded monthly, would she need to invest $18,000 in order to have $25,000 in 5 years? (Round the percent to two decimal places)

 

b. A car with an initial value of $45,000 depreciates (loses value) exponentially. The value of the car after 2 years is estimated to be $36,225.

 

Write an exponential function in the form y=C(b^t) to model the value of the car after tt years.

 

What does your model predict the value of the car to be after 10 years?   I think the answer is approximately $8,200 if the normal depreciation rate is 15.60%. Is that correct.

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