(d) A firm projects its profit to Ksh. 350 000 for the first month, Ksh. 700 000 for the second month, Ksh. 1 050 000 for the third month and so on. What will be the total projected profit
at the end of 1 ଵ
ସ
years? (3 marks)
(e) (i) A company wants to choose five men and six women to sit in the board. In how many
ways can this be done if the choice is made from seven men and nine women?
(2 marks)
(i) A company has 7 senior and 5 junior officers. An ad hoc legislative committee is to be
formed. In how many ways can a four-officer committee be formed so that it is
composed of at least two senior officers? (3 marks)
(f) A man borrows $5 400 from a bank and agrees to repay it by paying $ 300 per month to
reduce the loan and 1.5% of the unpaid balance each month for the use of the money. What
is the total cost of the loan over 18 months? (3 marks)
(g) Due to reduced taxes, a person has an extra $1,200 in spendable income. If we assume that
the person spends 65% of this on consumer goods, and the producers of these goods in turn
spend 65% on consumer goods, and that this process continues indefinitely. What is the
total amount spent on consumer goods to the nearest dollar? (3 marks)
(e) Find the range of the following:
(i) ݕ ൌ lnሺ2ݔ െ 3ሻ (3 marks)
(ii) ݕൌ݁√௫