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:

x0=12500 USD x1=(18100) x0=(18100) 12500=11500 USD x2=(110100) x1=(110100) 11500=10350 USD x3=(15100) x2=(15100) 10350=196652=9832.5 USD  x=x3=9832.5=196652x_{ 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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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....

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