ICA 1 [40 marks]

Question 1

Bena is a young professional who recently graduated from the University and is employed on a temporary basis by a Tour Operator. She receives an annual salary of US$44 944 which is paid monthly. She works 40 regular hours per week. The policy of the Tour Operator is to pay overtime at time and a half of regular pay.

Based on this scenario, answer the following questions:

(a) What is Benas gross remuneration per pay period? [4 marks]

(b) What is her hourly rate of pay? [4 marks]

(c) How many hours of overtime did Bena work during a month for which her gross pay was US$4387.20? [4 marks]

Question 2

Solve for x in the following:

x-4(3x-7)=3(9-5x)-(x-11) [4 marks]

Question 3

Montsamaisa opened a boutique at the Main Mall in Gaborone. She buys her merchandise from all over the world. She recently went to China to buy stock for her boutique. She bought goods worth 500 000 in China. On her way back from China, she also bought goods worth 150 000 in London, Euro 90 000 from Germany and R300 000 from South Africa. According to the latest published exchange rates data, P1=0.66 Yuan, P1= 0.08, P1= 11.83 Euro and P1=R1.25.

Based on the above information, calculate Montsamaisas total stock value in Botswana Pula and show your workings. [10 marks]

Question 5

A dividend of P3 060 000 is to be distributed among three shareholders in the ratio of shares held. If the three shareholders have nine shares, two shares and one share respectively, how much does each receive? [6 marks]

Question 6

Solve for X in the following:

(a) log₃ 9x+2=4 [2 marks]

(b) 4^2x+1 =16 [2 marks]

(c) Log₂(3x+1)=4 [2 marks]

(d) log₃ (5x-1)=Log₃ (x+7) [2 marks]