You purchase a new car for $35,000. The value of the car depreciates at a rate of 8.5% per year. If

Discussion in 'Calculator Requests' started by math_celebrity, Oct 14, 2018.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    You purchase a new car for $35,000. The value of the car depreciates at a rate of 8.5% per year. If the rate of decrease continues, what is the value of your car in 5 years?

    Set up the depreciation function D(t), where t is the time in years from purchase. We have:
    D(t) = 35,000(1 - 0.085)^t

    Simplified, a decrease of 8.5% means it retains 91.5% of it's value each year, so we have:
    D(t) = 35,000(0.915)^t

    The problem asks for D(5)
    D(5) = 35,000(0.915)^5
    D(5) = 35,000(0.64136531607)
    D(5) = $22,447.79
     

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