# 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.
4. 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 $5. 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: 6. 3 years savings Simple interest - Tereza has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Interest is added each year and left aside. How many CZK crowns will has total after 3 years? 7. Compound interest 3 After 8 years, what is the total amount of a compound interest investment of$25,000 at 3% interest, compounded quarterly? (interest is now dream - in the year 2019)
8. Simple interest 4
Find the simple interest if 5243 USD at 4.3% for 261 days. Assume a 361-day year.
9. Loan 4
Mr santos borrowed Php.18,000 at 1.5% interest for one year. What was the total amount he paid for the end of the 1-year term?
10. Compound interest
Compound interest: Clara deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Both money and interest remain deposited in the bank. How many CZK will be in the bank after 3 years?
11. Repay, interest, loan
Ramchacha takes a loan amount of 240000 from a bank for constructing a house at the rate of simple interest of 12% per annum. After 1 yr. of taking the loan he rents the house at the rate of 5200 per month. Determine the number of years he would take to re
12. Summerjob
The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
13. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
14. Combined interest
Combined interest: Carol has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. The money was put into the account 5.5.2016 and withdraw them all before Christmas 20.12.2016. How much money did she withdraw?
15. Borrowing
I borrow 25,000 to 6.9% p.a.. I pay 500 per month. How much will I pay and for how long?
16. Shuyen
Shuyen wanted to save some money. She deposited Php.300 in a bank which pays 0.5% interest per annum. After nine months, she needed the money to buy some gifts. How much will she be able to get if he withdraws all her money from the bank?
17. Simple interest 2
Find the simple interest if 13905 USD at 4.5% for 6 months.