a) Using practical examples, describe the following type of sets: i) Null set (1 marks ) ii)…

i) Null set	(1 marks )
ii) Universal set	(1 marks )
iii) Finite set	(1 marks )
iv) Overlapping sets	(2 marks )

b) Rachel bought a piece of land for Sh. 1,500,000. Its value increases at 5% each year. How much is it worth after six years? (3 marks )

c) For an in-service course in management, at least four but not more than nine members of staff are to be chosen. The ratio of the number of male members of staff to number of female must be less than 2: 1 and there must be more males than females. If x and y represent the number of male members of staff and female members respectively, write down in their simplest form the inequalities which x and y must satisfy. Represent these on graph paper and find the composition of the in-service group of (a) the largest size, (b) the smallest size.

(6 marks)

d) An investment of Sh.200, 000 is made which earns some interest at the rate of 8% per year. If interest is compounded continually determine

i) The exponential function which states the compound amount as a function of years of investment. (1 mark )

ii) What will the sh.200, 000 amount to if it’s invested for 5yrs and 10yrs. (2 marks)

iii) Determine the length of time required for the investment to double (3 marks )