a) Find the value, in 10 years time, of e1000 invested at 8% interest compounded annually.

b) Find the new quantities when i. e16.25 is increased by 12% ii. the population of a town, currently at 113 566, rises by 5% iii. a good priced by a firm at e87.90 is subject to a sales tax of 15% iv. a good priced at e2300 is reduced by 30% in a sale v. a car, valued at e23 000, depreciates by 32%.

c) A student discount card reduces a bill in a restaurant from e124 to e80.60. Work out the percentage discount. d) A bank offers a return of 7% interest compounded annually. Find the future value of a principal of e4500 after 6 years. What is the overall percentage rise over this period?

e) A department store has its own credit card facilities, for which it charges interest at a rate of 2% each month. Explain briefly why this is not the same as an annual rate of 24%. What is the annual percentage rate?

f ) Determine the APR if the nominal rate is 7% compounded continuously.