∑ DANEMATHICS
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Grade 11 · Finance, Growth and Decay
Finance: Growth & Decay (Grade 11)
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Answer all questions. Show all your working — marks are awarded for method as well as the final answer.
- 1R15 000 is invested at 8% p.a. compounded annually. Calculate the value after 5 years.(3)
- 2R15 000 is invested at 8% p.a. compounded monthly. Calculate the value after 5 years.(3)
- 3A fridge has a cash price of R9 200. On hire purchase a 20% deposit is paid and the balance is repaid over 2 years at 14% p.a. simple interest. Calculate the TOTAL amount paid. (hire purchase revision)(4)
- 4How much MORE than its cash price does that fridge cost on hire purchase? (hire purchase revision)(2)
- 5A car worth R240 000 depreciates at 15% p.a. on a straight line. Calculate its value after 4 years.(3)
- 6A car worth R240 000 depreciates at 15% p.a. on a reducing balance. Calculate its value after 4 years.(3)
- 7Convert 8% p.a. compounded monthly to an effective annual rate.(3)
- 8A loaf of bread costs R18. If inflation is 6% p.a., what will it cost in 8 years?(3)
- 9R50 000 grows to R80 000 in 6 years at compound interest, compounded annually. Calculate the annual interest rate.(4)
- 10State the difference between a nominal and an effective interest rate.(2)
- 11The rate moves from R18,20 to R19,60 to the dollar. Has the rand strengthened or weakened, and what happens to the price of imported goods?(2)
- 12A camera costs $340. Calculate its cost in rands at R18,75 to the dollar, and then at R20,10 to the dollar.(3)
- 13Explain why the petrol price can rise in South Africa even when the international oil price has not changed.(3)
TOTAL: 38 marks