A debt of is due in five years' time. The creditor gives permission to discharge the debt by receiving a payment of immediately and a final payment of in seven years' time. The interest rate charged on all amounts is % per year, compounded monthly. You can indicate the amounts on the following timeline to assist you in visualising the problem:

The payment, to the nearest rand, which should be made at the end of the seventh year in order to liquidate the debt, is

Consider the commuting time on bicycles given in ascending order as follows:

Green Paper Company produces three types of paper: computer paper, writing paper and brown paper. Each requires different amounts of wood, chlorine and labour to produce. The required amounts to produce a kg batch of paper are shown in the table below. There is a limit on the amounts of labour and wood available each day, and the amount of chlorine is limited by environmental regulations. The limits are also shown in the table, as are the net profits per kg for each type of paper.

Define , and to be the number of batches of computer paper, writing paper and brown paper produced respectively. The system of inequalities that describes the company's production constraints is

A researcher estimates that the population of a city is increasing exponentially at an annual rate of . If the current population of the city is , then the expression that models the population of the city  years from now, according to the researcher's estimate, is

Choose the INCORRECT statement:

The future value of an annuity is .  The term of this annuity is ten years.  The interest rate is per year, compounded monthly.  The monthly payments of this annuity are equal to

Solve for and in the following system of equations:

Buildmazing Developers need an amount of money to expand their business. They secure a loan at an interest rate of per year, compounded annually. The outstanding balance will be repaid in equal payments of at the end of each year for the next seven years. This is represented by the following timeline:

An investment of at the simple interest rate of per year, will reach in (round your answer to two decimal places)