a) Calculate the future value of ordinary annuity with payments of $600 every six months for 16…

a) Calculate the future value of ordinary annuity with payments of $600 every six months for 16 years. The rate of return will be 8% compounded semiannually for the first five and half years and 9% compounded semiannually for the subsequent ten and half years.

(6 marks)

b) The second, fourth, and eighth terms of an A.P are in G.P. and the sum of the third and fifth terms is 20. Find the first four terms of the progression. (5 marks )

c) In the first week of production 1000 items were made. If the rise in weekly production is 5% per week, how many weeks are necessary to produce a total of 15,000 items? (4 marks )

d) Solve for x in the following inequality: 5(x – 2) > 9x – 3(2x – 4)	(2 marks )
e) Solve the equations y + 2x = 3 and x2+y2= 2	(3 marks )

f)

i) The twenty first term of an AP is 5and the sum of the first 21 terms is 94½. Find

the first term, the common difference and the sum of the first 30 terms

(4 marks ) ii) Find the sum of the first terms of a geometric progression with third term 10 and

sixth term 80 (3 marks)

g) The simple interest rate being charged on a $5000 loan is three-quarters of 1% per month. If the principal and interest are to be paid in nine months, how much interest will be charged?

(3 marks)