# 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: $x_{ 0 } = 12500 \ USD \ \\ x_{ 1 } = (1-\dfrac{ 8 }{ 100 } ) \cdot \ x_{ 0 } = (1-\dfrac{ 8 }{ 100 } ) \cdot \ 12500 = 11500 \ USD \ \\ x_{ 2 } = (1-\dfrac{ 10 }{ 100 } ) \cdot \ x_{ 1 } = (1-\dfrac{ 10 }{ 100 } ) \cdot \ 11500 = 10350 \ USD \ \\ x_{ 3 } = (1-\dfrac{ 5 }{ 100 } ) \cdot \ x_{ 2 } = (1-\dfrac{ 5 }{ 100 } ) \cdot \ 10350 = \dfrac{ 19665 }{ 2 } = 9832.5 \ USD \ \\ \ \\ x = x_{ 3 } = 9832.5 = \dfrac{ 19665 }{ 2 }$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you! Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): 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.... #### Following knowledge from mathematics are needed to solve this word math problem: Our percentage calculator will help you quickly calculate various typical tasks with percentages. ## Next similar math problems: 1. Loss A bookstore purchased from a publisher the biography of a well-known politician for R15 per copy, but sales have been very poor. The manager has decided to mark the copies down to R12 each to make a quick sale. Calculate the loss on each book as a percenta 2. Enterprise The value of annual production enterprise is 7.1 million USD. The average annual growth rate is 1.5%. What will be value of production at the end of the fifth year? 3. BTC bubble One of the world's experts in bubbles -- Prof. Robert Shiller, a Yale economist -- said Bitcoin "was an amazing example of a bubble" back in 2014. If you exchange fiat US dollar$100 to BTC in 2010, now in 2017 have value of 72.9 millions dollars. Find.
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