Question
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 \( T \) \[ T= \]
Ask by Ross Rodriquez. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( T = P \times N \)
Solution
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:
\[
T = 200 \times 5 = \$1000
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To solve the formula for \( T \), you start with the original formula: \[ P = \frac{T}{N} \] To isolate \( T \), multiply both sides by \( N \): \[ T = P \times N \] So, the solution is: \[ T = P \cdot N \] Now you can easily calculate the total of installment payments by just multiplying the amount of each payment \( P \) by the number of payments \( N \)!
