Question

6. Jeff is purchasing a new vehicle for $35 000. It is known that the vehicle will depreciate by 20% of its current value every year. a) Write an equation that relates the depreciated value of the vehicle, $V$, to the age of the vehicle, $t$, in years. b) Use the equation to determine the value of the vehicle 2 years after it is purchased. c) Approximately how long will it take the vehicle to depreciate to $3000? Initial Amount: Growth Rate 100% + Period: Time: a) b) c)

Name: 6 jeff is purchasing a new vehicle for 35 000 it is known that the vehicle will depreciate by 20 of its current value every year a write an equation that relates the depreciated value of the 58603
Uploaded: 2022-01-18T23:23:22-08:00
Duration: 3 min 10 s
Channel: Victor Salazar
Description: 6 jeff is purchasing a new vehicle for 35 000 it is known that the vehicle will depreciate by 20 of its current value every year a write an equation that relates the depreciated value of the 58603

          6. Jeff is purchasing a new vehicle for $35 000. It is known that the vehicle will depreciate by 20% of its current value every year.
a) Write an equation that relates the depreciated value of the vehicle, $V$, to the age of the vehicle, $t$, in years.
b) Use the equation to determine the value of the vehicle 2 years after it is purchased.
c) Approximately how long will it take the vehicle to depreciate to $3000?

Initial Amount:
Growth Rate 100% +
Period:
Time:

a)
b)
c)

6 jeff is purchasing a new vehicle for 35 000 it is known that the vehicle will depreciate by 20 of its current value every year a write an equation that relates the depreciated value of the 58603

Added by Tammy T.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Victor Salazar

01/18/2022

Step 1

The general form of an exponential decay equation is $V = P(1 - r)^t$, where: - $V$ is the future value - $P$ is the initial value (principal) - $r$ is the depreciation rate (as a decimal) - $t$ is the time period From the problem statement, we have: - Initial Show more…

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6. Jeff is purchasing a new vehicle for $35 000. It is known that the vehicle will depreciate by 20% of its current value every year. a) Write an equation that relates the depreciated value of the vehicle, $V$, to the age of the vehicle, $t$, in years. b) Use the equation to determine the value of the vehicle 2 years after it is purchased. c) Approximately how long will it take the vehicle to depreciate to $3000? Initial Amount: Growth Rate 100% + Period: Time: a) b) c)