# Car down

Sarah buys a car costing \$12,500. It depreciates in value by 8% in the first year, 10% the second year and 5% in the third year. Calculate the value of a car after the third year.

Result

x =  9832.5

#### Solution:

$x_{ 0 } = 12500 \ USD \ \\ x_{ 1 } = (1-\dfrac{ 8 }{ 100 } ) \cdot \ x_{ 0 } = (1-\dfrac{ 8 }{ 100 } ) \cdot \ 12500 = 11500 \ USD \ \\ x_{ 2 } = (1-\dfrac{ 10 }{ 100 } ) \cdot \ x_{ 1 } = (1-\dfrac{ 10 }{ 100 } ) \cdot \ 11500 = 10350 \ USD \ \\ x_{ 3 } = (1-\dfrac{ 5 }{ 100 } ) \cdot \ x_{ 2 } = (1-\dfrac{ 5 }{ 100 } ) \cdot \ 10350 = \dfrac{ 19665 }{ 2 } = 9832.5 \ USD \ \\ \ \\ x = x_{ 3 } = 9832.5 = \dfrac{ 19665 }{ 2 }$

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Showing 1 comment: Dr Math
The original question was:

Calculate what percent is the sales tax.

Answer: I now cannot calculate any tax due I don't know your tax law codes etc.etc.... ## Next similar math problems:

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