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Raj bought a car 4.5 years ago for $25,000, and the current value of the car is $12,000. At what percentage rate has the car depreciated?

Raj bought a car 4.5 years ago for $25,000, and the current value of the car is $12,000. At what percentage rate has the car depreciated? Round your answer to the nearest whole number.

so I think the equation would be 12,000=25,000(x^4.5)

is that right? and how do I find x?

2 Answers

Relevance
  • 7 years ago

    1) if the depreciation is linear, then the car be depreciated at a rate of:

    ( 25000-12000)/4.5 = 13000/4.5 $/year

    Now, divide this by 25000 and get the fractional depreciation per year

    13000/(25000*4.5)

    Multiply this number by 100 and get the percentage depreciation per year

    (13000*100)/(25000*4.5)

    = 13*4/(9/2) = 26*4/9 ~ 12%/year

  • ?
    Lv 6
    7 years ago

    12/25=48% or48/4.5 =10.67% per year

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