# 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. Correct result: x = 9832.5 #### Solution: $x_{0}=12500 \ \text{USD} \ \\ x_{1}=(1-\dfrac{ 8 }{ 100 } ) \cdot \ x_{0}=(1-\dfrac{ 8 }{ 100 } ) \cdot \ 12500=11500 \ \text{USD} \ \\ x_{2}=(1-\dfrac{ 10 }{ 100 } ) \cdot \ x_{1}=(1-\dfrac{ 10 }{ 100 } ) \cdot \ 11500=10350 \ \text{USD} \ \\ x_{3}=(1-\dfrac{ 5 }{ 100 } ) \cdot \ x_{2}=(1-\dfrac{ 5 }{ 100 } ) \cdot \ 10350=\dfrac{ 19665 }{ 2 }=9832.5 \ \text{USD} \ \\ \ \\ x=x_{3}=9832.5=\dfrac{ 19665 }{ 2 }$ 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.... Tips to related online calculators Our percentage calculator will help you quickly calculate various typical tasks with percentages. Do you want to convert time units like minutes to seconds? #### You need to know the following knowledge to solve this word math problem: ## Next similar math problems: • 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 percent • Drilling machine A manufacturing firm purchased a heavy duty drilling machine. They were given two payment options: Option 1: Make a payment of$46,000 immediately to settle the invoice for the machine. Option 2: Make a payment of $21,500 immediately and the balance of • 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? • Profit gain If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is: • 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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