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24 November, 19:42

16. A car depreciates in value at a rate of 10%. The car currently has a value of $12,000.

What will be its value in 10 years?

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  1. 24 November, 20:20
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    Answer: $4,184.14

    Step-by-step explanation:

    If a car depreciates, it mean the the car is losing it's marketable worth and sometimes at a constant rate. The worth of the car after some years does not remain the same.

    The formula for this depreciation when at a constant rate is denoted as:

    D = P * [1 - r/100]^n

    Where:

    D=the Depreciated value of the car after n period which is what is being determined.

    P = initial value of the car before depreciation is considered and in this case, P = $12,000

    r = constant Rate Of depreciation and in this case = 10%

    n = period being considered, which in this case, n = 10years.

    Hence,

    D = 12,000 * [1 - 10/100]^10

    D = $4,184.14
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