Уроки математики и физики (RU + UA)

воскресенье, 1 января 2017 г.

Test 3. Compound interest-type problems

 1. What is the percentage multiplier to find a 15% decrease? (Hint: what percentage would you have left after you have taken off 15%?)

 а£0.82;      b£0.76;     
 c)  £0.85;      d£0.65.

 2. The value of a car depreciates (goes down) by 15% of its value each year. Sally buys the new car for £16000. How much will the cfr be worth after 7 years?

 а£5128.53;     
 b£5129.60;     
 c£5129.27;     
 d)  £5129.23.

 3. The value of a washing machine depreciates by 25% of its value each year. If a new washing machine costs £480, how much will it be worth after 6 years?

 а£86.43;      b)  £85.43;     
 c£85.48;      d£85.75.

 4. If a 15-year old person put £500 in a bank at 9% p. a. compound interest and left it in the bank for 50 years until retirement, how much money would be in the bank?

 а)  £37,178.76;     
 b£37,176.66;     
 c£37,179.78;     
 d£37,178.44.

 5. At the end of any year the value of a car is 20% lower that at the beginning of that year. At the beginning of the year 1 bought a car for £5000. Work out how much my car is worth 2 years later.

 а£3220;      b)  £3200;     
 c£3180;      d£3000.

 6. Josie invests £800 in an account that pays her 3% simple interest every year. How much interest will she have been paid in total after 6 years?

 а£134;      b£184;     
 c£148;      d)  £144.

 7. Each year the value of a cooker falls by 8% of its value at the beginning of that year. Sally bought a new cooker on 1st January 2001. By 1st January 2002 its value fallen by 8% to £598. Work out the value of the new cooker on 1st January 2001.

 а£640;      b£655;     
 c)  £650;      d£670.

 8. Each year the value of a cooker falls by 8% of its value at the beginning of that year. Sally bought a new cooker on 1st January 2001. By 1st January 2002 its value fallen by 8% to £598. Work out the value of the cooker by 1st January 2005. Give your answer to the nearest penny.

 а£465.68;     
 b)  £465.66;     
 c£464.40;     
 d£465.16.

 9. £4000 is inversed at 5% per annum (year) compound interest. How much money will there be after 2 years?  

 а)  £4410;      b£4412;     
 c£4430;      d£4405.

10. £10,000 is invested at 10% per annum compound interest. How much money will there be after 3 years?

 а£13410;      b£13325;     
 c£13315;      d)  £13310.

11. £6000 is invested at 4% per annum compound interest. How much money will there be after 2 years?

 а£6489.40;     
 b£6488.60;     
 c)  £6489.60;     
 d£6488.85.

12.  A new car is bought for £14000. Each year, its value depreciates (goes down) by 20% of its value at the start of the year. How much is the car worth after 2 years?

 а)  89.45;      b)  89.60;     
 c88.60;      d89.68.

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