Exam (elaborations)
DSC1630 EXAM PACK 2024
- Course
- Dsc1630
- Institution
- University Of South Africa
LATEST EXAM PACK QUESTIONS AND ANSWERS AND SUMMARIZED NOTES FOR EXAM PREPARATIONS. UPDATED FOR 2024 EXAMS!!
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DSC1630EXAM PACK
2024
LATEST EXAM PACK QUESTIONS AND ANSWERS
AND SUMMARIZED NOTES FOR EXAM
PREPARATIONS.
UPDATED FOR 2024 EXAMS!!
,1. On his ninth birthday on 21 February Shelly received R420. His parents
immediately invested the money in an account that earns 7,5% simple interest.
The amount of money that can be withdrawn on 5 June for the same year equals
[1] R411,21.
[2] R428,89.
[3] R428,98.
[4] R429,07.
[5] none of the above.
2. An interest rate of 16,4% compounded quarterly is equivalent to a weekly
compounded interest of
[1] 16,073%.
[2] 16,098%.
[3] 16,714%.
[4] 16,741%.
[5] none of the above.
3. On Dan’s 21st birthday he notices that he is going bald. He decides that he will go for a hair
implant when he turns 30. He estimates that the implant will cost him R12 500. He starts
saving immediately by paying an amount monthly into an account earning 9,09%
interest compounded monthly. The monthly payment that Dandy Darrell makes into the
account equals
[1] R64,27.
[2] R74,63.
[3] R75,20.
[4] R115,75.
[5] none of the above.
4. At an interest rate of 14,9% per year compounded quarterly, R1 000 invested monthly
for 12 years will accumulate to
[1] R66 914,38.
[2] R385 478,48.
[3] R390 233,94.
[4] R395 600,34.
[5] none of the above.
,Questions 5 and 6 refer to the following situation:
A study was undertaken at eight garages to determine how the resale value of a car is affected
by its age. The following data was obtained:
The garage manager suspects a linear relationship between the two variables. Fit acurve of the
form y = a + bx to the data.
5. The equation is equal
to [1] y = 7,0417 − 0,001x.
[2] y = 0,001 + 7,0417x.
[3] y = 48 644,17 − 6 596,93x.
[4] y = 6 596,93 − 48 644,17x.
[5] none of the above.
6. The correlation coefficient
equals [1] 0,0000.
[2] −0,9601.
[3] 0,8450.
[4] 1,0000.
[5] none of the above.
7. Rian borrows R2 000 at a simple interest rate of 8% per annum. The amount that he
owes at the beginning of the eighth year equals
[1] R1 120,00.
[2] R3 120,00.
[3] R3 280,00.
, [4] R3 427,65.
[5] none of the above.
8. After making a down payment of R5 000 on a boat, Mr Brown also had to pay an
additionalR700 per month for it for three years. Interest was charged at 14,5% per
year compounded monthly on the unpaid balance. The original price of the boat
equals
[1] R6 611,60.
[2] R20 336,44
[3] R25 336,44.
[4] R36 337,23.
[5] none of the above.
9. Joe needs R14 500 to buy a computer. Computer World is prepared to lend him the money on
condition that he signs a promissory note to pay back the money in ten months’ time.
What is the value of the promissory note if Computer World charges 28% discount?
[1] R11 116,67.
[2] R11 756,76.
[3] R17 883,33.
[4] R18 913,04.
[5] none of the above.
10. If the continuous compounding rate for a nominal rate compounded every three
months is11,832%, then the nominal rate equals
[1] 11,66%.
[2] 11,832%.
[3] 12,01%.
[4] 12,07%.
[5] 12,56%.
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