Gage bought a new car for $29,000 to use while he is away at college. the car depreciates(decreases in value) by 11% annually.if he plans to sell the car once he graduates in four years, what will the value of the car be?

Respuesta :

The value of the car when he graduates will be $18,195 if the car depreciates by 11%.

According to the given question.

The initial price of car or the present price, PV= $29000

The car depreciates by 11% anually i.e rate, r = 11% = 0.11

So to calculate the value of the car after four years, what we will use is the exponential

F = PV( 1 - r)^t

Where,

F is final value

PV is the present value

r is the rate

t is the time

Therefore,

The value of car after four years is given by

F = 29,000(1-0.11)^4 = 29000(0.89)^4 = $18,195.25

Hence, the value of the car when he graduates will be $18,195 if the car depreciates by 11%.

Find out more information about depreciation here:

https://brainly.com/question/16002404

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