A new car is purchased for 19700 dollars. The value of the car depreciates at 9.25% per year. To the nearest year, how long will it be until the value of the car is 5500 dollars?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter2: Solving Linear Equations
Section2.2: Use A Problem Solving Strategy
Problem 2.53TI: Eduardo noticed that his new car loan papers stated that with a 7.5% simple interest rate, he would...
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A new car is purchased for 19700 dollars. The value of the car depreciates at 9.25%
per year. To the nearest year, how long will it be until the value of the car is 5500
dollars?
Transcribed Image Text:A new car is purchased for 19700 dollars. The value of the car depreciates at 9.25% per year. To the nearest year, how long will it be until the value of the car is 5500 dollars?
Expert Solution
Step 1

Original price of the car = 19,700 dollars

Each year its value depreciates by 9.25%.

Next year its price will be 19,700-19,700×9.25100 or19,700×1-9.25

This way the price of the car will go down until the year the value of the car becomes 5,500.

The equation becomes 5,500 = 19,700×1-.0925x55197=.9075xx=13.1449x13

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