Simplify the following. \( \frac{\$ 1788}{1+0.32 \times \frac{219}{365}} \) \( \frac{\$ 1788}{1+0.32 \times \frac{219}{365}}=\$ \square \) (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 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 \( \$ \) (Simplify your answer.)

D, E, and Fown 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 \( \$ 1200 \). (Simplify your answer.) E will receive \( \$ \square \). (Simplify your answer.)

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

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.)