In order to buy a new car, you finance $33,000 with no down payment for a term of five years at an APR of 6%. After you have the car for one year, you are in an accident. No one is injured, but the car is totaled. The insurance company says that before the accident, the value of the car had decreased by 25% over the time you owned it, and the company pays you that depreciated amount after subtracting your $500 deductible. How much equity have you built up after one year? Suggestion: Use the following formula for the equity built up after k monthly payments. (Round your answer to the nearest cent.) Equity =  Amount borrowed × ((1 + r)k − 1) ((1 + r)t − 1) $

SWFT Comprehensive Volume 2019
42nd Edition
ISBN:9780357233306
Author:Maloney
Publisher:Maloney
Chapter8: Depreciation, Cost Recovery, Amortization, And Depletion
Section: Chapter Questions
Problem 50P
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In order to buy a new car, you finance $33,000 with no down payment for a term of five years at an APR of 6%. After you have the car for one year, you are in an accident. No one is injured, but the car is totaled. The insurance company says that before the accident, the value of the car had decreased by 25% over the time you owned it, and the company pays you that depreciated amount after subtracting your $500 deductible.

How much equity have you built up after one year? Suggestion: Use the following formula for the equity built up after k monthly payments. (Round your answer to the nearest cent.)

Equity = 
Amount borrowed × ((1 + r)k − 1)
((1 + r)t − 1)

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