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30 June, 15:20

Computer towers purchased for $30900 depreciates at a constant rate of 12.6% per year. Write the function that models the value of the computer towers after (t) years from now. What will the computer towers be worth after 8 years

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  1. 30 June, 16:01
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    Answer: the computer towers will be worth $10521 after 8 years

    Step-by-step explanation:

    We would apply the formula for exponential decay which is expressed as

    A = P (1 - r) ^t

    Where

    A represents the value of the computer towers after t years.

    t represents the number of years.

    P represents the initial value of the computer towers.

    r represents rate of decay.

    From the information given,

    P = $30900

    r = 12.6% = 12.6/100 = 0.126

    Therefore, the function that models the value of the computer towers after (t) years from now is

    A = 30900 (1 - 0.126) ^t

    A = 30900 (0.874) ^t

    Therefore, when t = 8 years, then

    A = 30900 (0.874) ^8

    A = $10521
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