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Exam (elaborations)

DSC1630 EXAM PACK 2023

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DSC1630 EXAM PACK 2023

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DSC1630
EXAM PACK

,DSC1630
EXAM
PACK

,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money that can be withdrawn on 5 June for the same year equals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.

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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.



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