a) A young couple wants to save Kshs 150,000 over the next 5 years and then use this amount as a…

a) A young couple wants to save Kshs 150,000 over the next 5 years and then use this amount as a down payment on a home. In order to arrive at this goal, how much money must the couple deposit at the end of each quarter into an account that earns interest at the rate of 5%,

compounded quarterly? (5 marks )

b) Calculate the amount of an annuity immediate of $2000 per annum for 20 years, the rate of interest being 13 ½ % p. a. (5 marks )

c) Neno publishers Ltd. Are planning to produce a new text book in marketing. The fixed costs are Sh. 3,300,000 and the variable costs are Sh. 312.50 per textbook. The wholesale price will be Sh. 437.50 per textbook. How many textbooks must Neno publish and sell in order to

break-even? (4 marks)

d) Find the range of values of X which satisfy the inequalities 4-2x= 4(x⁺⁵2)x+11 (3 marks)

e) Graph the following inequalities simultaneously and show the wanted region

-x + 2y = 4, 2x + y = 8, 4x + 2y = 6, y = 0, and x = 0 (3 marks )