A person bought a car for $21,062. After 3 years, the car was worth $11,985. Assume that the price is decreasing according to the continuous exponential decay model P= Po e". a. Find the annual depreciation rate, r, to the nearest tenth of a percent. b. Find the value of the car after 5 years to the nearest hundred dollars.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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4.4.81
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A person bought a car for $21,062. After 3 years, the car was worth $11,985. Assume that the price is decreasing according to the continuous exponential decay model
P= Po e",
a. Find the annual depreciation rate, r, to the nearest tenth of a percent.
b. Find the value of the car after 5 years to the nearest hundred dollars.
a. What is the annual depreciation rate?
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%
(Do not round until the final answer. Then round to one decimal place as needed.)
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P Pearson
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W
MacBook Air
DII
DD
888
F1
80
F9
F10
F7
F8
Transcribed Image Text:4.4.81 Question Help ▼ A person bought a car for $21,062. After 3 years, the car was worth $11,985. Assume that the price is decreasing according to the continuous exponential decay model P= Po e", a. Find the annual depreciation rate, r, to the nearest tenth of a percent. b. Find the value of the car after 5 years to the nearest hundred dollars. a. What is the annual depreciation rate? > % (Do not round until the final answer. Then round to one decimal place as needed.) <> Enter your answer in the answer box and then click Check Answer. Check Answer part remaining Clear All P Pearson to he W MacBook Air DII DD 888 F1 80 F9 F10 F7 F8
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