Grade 11

R50 000 is invested for a period of 7 years. The total amount accumulated in the fund at the end of 7 years is R83 568. Calculate the interest rate per annum compounded annually that would yield this return.

• 6,5%

• 7,61%

• 3,21%

• 9,3%

R10 000 is deposited into a savings account for 5 years. Calculate the total amount accumulated in the account in each of the following cases if the interest rate is 12% p.a compounded monthly?

• R17 623,42

• R18 061,11

• R18 219,39

• R18 166,97

R92 000 is invested for 6 years. The interest rate is 9% p.a. compounded annually for the first 2 years. It is then increased to 10,5% p.a. compounded monthly for the next 3 years and the interest during the last year is 12% p.a. compounded daily. Calculate the total amount at the end of 6 years.

• R168 637,95

• R165 245,89

• R154 725,12

• R173 296,31

Mr Pillay opens a savings account and deposits R31 000. 18 months later he withdraws R7 200. 3 years after he opened the account, he deposits a further R13 500. One year later he withdraws R6 700. Calculate the total amount of money in the savings account at the end of 6 years if the interest paid on the savings account is 10% p.a. compounded quarterly.

• R76 258,91

• R54 833,66

• R53 422,34

• R45 635,78

Convert the nominal interest rate of 13% p.a. compounded monthly to an effective annual interest rate compounded annually.

• 14,2% p.a. compounded annually

• 15% p.a. compounded annually

• 13,8% p.a. compounded annually

• 12% p.a. compounded annually

A set of is bought by a company for R580 000. These computers are depreciated by 25% per annum on a straight line basis. Calculate the book value of the computers after 4 years.

• R 50 000

• R0

• R25 000

• R1

Mutually exclusive events are...

• events that takes place at the same time.

• dependent on each other.

• events that cannot happen at the same time.

If two events are mutually exclusive, and together have a probability of 1, then they are...

• dependent on each other.

• independent of each other.

• complementary to each other.

 $A\cup B$  is called a...

• intersection

• union

• combination

• interjection 

A die is thrown and a coin is tossed. What is the probability for the combination event of obtaining a multiple of three and getting a tail?

• $P\left(multiple\ of\ 3\ and\ a\ tail\right)=\frac{1}{6}$

• $P\left(multiple\ of\ a\ tail\ and\ a\ 3\right)=\frac{5}{6}$

• $P\left(multiple\ of\ 3\ and\ a\ tail\right)=\frac{1}{2}$

• $P\left(multiple\ of\ a\ tail\ and\ a\ 3\right)=\frac{3}{8}$