The value of a car after it is purchased depreciates according to the formula V(n) = 28 000(0.875)" where V(n) is the car's value in the nth year since it was purchased. a) What is the purchase price of the car? Explain and calculate. b) What is the annual rate of depreciation? c) What is the car's value at the end of 3 years? d) What is its value at the end of 30 months? e) How much value does the car lose in its first year? f) How much value does it lose in its fifth year? g) When will the car be worth less than a thousand dollars? h) When will the car be worth zero dollars?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.59TI: New grandparents decide to invest 3200 per month in an annuity for their grandson, The account will...
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The value of a car after it is purchased depreciates according to the formula
V(n) = 28 000(0.875)"
where V(n) is the car's value in the nth year since it was purchased.
a) What is the purchase price of the car? Explain and calculate.
b) What is the annual rate of depreciation?
c) What is the car's value at the end of 3 years?
d) What is its value at the end of 30 months?
e) How much value does the car lose in its first year?
f) How much value does it lose in its fifth year?
g) When will the car be worth less than a thousand dollars?
h) When will the car be worth zero dollars?
Transcribed Image Text:The value of a car after it is purchased depreciates according to the formula V(n) = 28 000(0.875)" where V(n) is the car's value in the nth year since it was purchased. a) What is the purchase price of the car? Explain and calculate. b) What is the annual rate of depreciation? c) What is the car's value at the end of 3 years? d) What is its value at the end of 30 months? e) How much value does the car lose in its first year? f) How much value does it lose in its fifth year? g) When will the car be worth less than a thousand dollars? h) When will the car be worth zero dollars?
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