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The value of a car depreciates exponentially after it is purchased. In other words, V(t) = 20(0.5)t where t is the number of years since the car was purchased (yr), and the value V (t) is measured in thousand dollars ($ thousand). A. Find the change in Value of a car from the 3rd to 5th year after being purchased. Give proper units. B. Find the average rate of change of Value of the car from the 3rd to 5th year after being purchased. Give proper units. C. Find the instantaneous rate of change in Value of the car in the 4th year after being purchased. Give proper units. You may round your answer to 4 decimal places.

The value of a car depreciates exponentially after it is purchased. In other words, V(t) = 20(0.5)t where t is the number of years since the car was purchased (yr), and the value V (t) is measured in thousand dollars ($ thousand). A. Find the change in Value of a car from the 3rd to 5th year after being purchased. Give proper units. B. Find the average rate of change of Value of the car from the 3rd to 5th year after being purchased. Give proper units. C. Find the instantaneous rate of change in Value of the car in the 4th year after being purchased. Give proper units. You may round your answer to 4 decimal places.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The value of a car depreciates exponentially after it is purchased. In other words, V(t) = 20(0.5) where t is the number of years since the car was purchased (yr), and the value V (t) is measured in thousand dollars ($ thousand). A. Find the change in Value of a car from the 3rd to 5th year after being purchased. Give proper units. B. Find the average rate of change of Value of the car from the 3rd to 5th year after being purchased. Give proper units. C. Find the instantaneous rate of change in Value of the car in the 4th year after being purchased. Give proper units. You may round your answer to 4 decimal places.
Transcribed Image Text:The value of a car depreciates exponentially after it is purchased. In other words, V(t) = 20(0.5) where t is the number of years since the car was purchased (yr), and the value V (t) is measured in thousand dollars ($ thousand). A. Find the change in Value of a car from the 3rd to 5th year after being purchased. Give proper units. B. Find the average rate of change of Value of the car from the 3rd to 5th year after being purchased. Give proper units. C. Find the instantaneous rate of change in Value of the car in the 4th year after being purchased. Give proper units. You may round your answer to 4 decimal places.
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