QUESTION THREE 3.1. You invest \( R 5000.00 \) for six years. The interest rate is \( 10 \% \) per annum compounded yearly for the first two years. The interest rate then changes to \( 6 \% \) per annum compounded monthly for the remainder of the investment. 3.1.1. How much is the investment worth after two years? 3.1.2. What is the final value of the investment? 3.2. You consider buying a business for \( R 975000 \). The business is expected to run for 4 years and the following net returns are expected. YEAR 1 : \( R 200000 \) YEAR \( 2: R 250000 \) YEAR \( 3: R 320000 \) YEAR \( 4: R 400000 \) Should you buy the business? A project of this type is expected to return at least \( 12 \% \) per annum.

Simplify the following. \( \$ 500\left(1+0.36 \times \frac{292}{365}\right) \) \( \$ 500\left(1+0.36 \times \frac{292}{365}\right)=\$ \square \) (Type an integer or a decimal.)

Simplify the following. \( \frac{\$ 4284}{1+0.28 \times \frac{292}{365}} \) \( \frac{\$ 4284}{1+0.28 \times \frac{292}{365}}=\$ \square \) (Type an integer or a decimal.)

The cost of operating the Maintenance Department is to be allocated to four production departments based on the floor space each occupies. Department A occupies \( 900 \mathrm{~m}^{2} \); Department \( \mathrm{B}, 800 \mathrm{~m}^{2} \); Department \( \mathrm{C}, 1200 \mathrm{~m}^{2} \); and Department \( \mathrm{D}, 500 \mathrm{~m}^{2} \). If the July cost was \( \$ 57,800 \), how much of the cost of operating the Maintenance Department should be allocated to each production department? The operating cost for Department A is \( \$ 15,300 \). (Simplify your answer.) The operating cost for Department B is \( \$ 13,600 \). (Simplify your answer.) The operating cost for Department C is \( \$ \$ \) (Simplify your answer.)

Simplify the following. \( \frac{\$ 2482}{1+0.28 \times \frac{219}{365}} \) \( \frac{\$ 2482}{1+0.28 \times \frac{219}{365}}=\$ \square \) (Type an integer or a decimal)

D, E, and F own a business jointly and share profits and losses in the same portion as their investments. How much of a profit of \( \$ 4500 \) will each receive if their investments are \( \$ 4000, \$ 6000 \), and \( \$ 5000 \) respectively? D will receive \( \$ \) (Simplify your answer.)