Unit 3: 5-3 HW (1) 5.3 .13 HW Score: \( \mathbf{5 5 . 5 6 \%}, 5 \) of 9 points Points: 0 of 1 Save The formula, installment Psyment \( =\frac{\text { Total of installment payments }}{\text { Number of payments }} \) is used to find the the amount of each installment payment for a loan. The formula can be witten in symbols as \( P=\frac{T}{N} \). Solve the formula for \( T \) \[ T= \]

To solve the formula \( P = \frac{T}{N} \) for \( T \), you want to isolate \( T \) on one side of the equation. Here's how you can do it step by step: 1. **Start with the original equation:** \[ P = \frac{T}{N} \] 2. **Multiply both sides of the equation by \( N \) to eliminate the denominator:** \[ P \times N = \frac{T}{N} \times N \] 3. **Simplify the right side of the equation:** \[ P \times N = T \] 4. **Rearrange the equation to solve for \( T \):** \[ T = P \times N \] **Final Solution:** \[ T = P \times N \] **Explanation:** - \( P \) represents the amount of each installment payment. - \( N \) represents the number of payments. - By multiplying the amount of each payment (\( P \)) by the number of payments (\( N \)), you get the total amount of installment payments (\( T \)). **Example:** If you make 5 payments (\( N = 5 \)) of \$200 each (\( P = \$200 \)), the total amount (\( T \)) would be: \[ T = 200 \times 5 = \$1000 \]