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10 April, 02:10

Riley purchase a MacBook Pro for $1,500. It is known that the laptops value depreciates approximately 10% per year.

a. Write an exponential decay model? showing the value of the computer after t years.

b. Calculate the value of the computer after 4 years

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  1. 10 April, 02:59
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    a) v (t) = 1500 (0.90^t)

    b) $984.15

    Step-by-step explanation:

    a) For your exponential model, you are given ...

    initial value = 1500 decay rate = - 10%

    So, you know the growth factor is 1 - 10% = 0.90, and the model is ...

    v (t) = (initial value) (1 + rate of change) ^t

    v (t) = 1500 (0.90^t)

    __

    b) Filling in t=4 and doing the arithmetic, we find ...

    v (4) = 1500 (0.90^4) = 984.15

    The value of the computer after 4 years is modeled as $984.15.
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