3. A vehicle depreciates by 25% each year. Its value, VVV, in dollars, as a function of time, t, in years, can be modeled by the function V(t) = 28000(0.75'). a. What was the initial value of the vehicle? Explain your reasoning. b. How long will it take for the vehicle to depreciate to half its initial value, rounded to the nearest tenth of a year? c. After how many years will the vehicle's value be reduced to $5,000? Provide your answer to the nearest tenth of a year.

3. A vehicle depreciates by 25% each year. Its value, VVV, in dollars, as a function of time, t, in years, can be modeled by the function V(t) = 28000(0.75'). a. What was the initial value of the vehicle? Explain your reasoning. b. How long will it take for the vehicle to depreciate to half its initial value, rounded to the nearest tenth of a year? c. After how many years will the vehicle's value be reduced to $5,000? Provide your answer to the nearest tenth of a year.

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 9E

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