A man borrowed \( \$ 10,000 \) from the bank for 3 years at \( 12 \% \) per annum. Calculate the interest he is charged amount of the loan.

Solve for the indicated variable and select the correct answer. \( \begin{array}{l}1+r t=\frac{A}{P} \text { for } P \\ P=\frac{A}{1+r t} \\ P=\frac{1+r t}{A} \\ P=1+r t-A \\ P=A(1+r t)\end{array} \)

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 B, \( 800 \mathrm{~m}^{2} \), Department C, \( 1200 \mathrm{~m}^{2} \); and Department 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 \( \$ \square \). (Simplify your answer.)

2. Peter gets a salary of \( \$ 125 \) per week. He wants to buy a new television that costs \( \$ 3,960 \). If he saves \( \$ 55 \) per week, which of the following expressions could he use to figure out how many weeks It will take him to save up enough money to buy the new TV? (d) \( \$ 3,960 \div(\$ 125-\$ 55) \) () \( \$ 3,960-(\$ 125)(\$ 55) \) () \( (\$ 3,960 \div \$ 125) \div \$ 55 \) (D) \( \$ 3,960 \div \$ 55 \)

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.)

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.)