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I can see you uploaded two images related to a loan repayment question. Here's what the problem describes:

- **Pat's loans:**
  1. Four annual federal loans, each for **$5800** at an interest rate of **6.8%**.
  2. A private student loan of **$3600** with **7.3% interest** and a term of **10 years**.
  3. Payments on all loans are deferred until **6 months after graduation**.

### Step-by-Step Breakdown:

1. **Federal Loans**: 
   - Each federal loan is $5800 with an interest rate of 6.8%.
   - After 6 months deferment, payments start.
   - If we assume a standard repayment term of 10 years for each loan, we'll need to calculate the monthly payment for each federal loan using the loan amortization formula:

   \[
   M = \frac{P \cdot r}{1 - (1 + r)^{-n}}
   \]

   Where:
   - $M$ = Monthly payment
   - $P$ = Loan principal (amount borrowed)
   - $r$ = Monthly interest rate (annual interest rate divided by 12)
   - $n$ = Number of monthly payments (loan term in years times 12 months)

2. **Private Loan**:
   - The private loan is $3600 with 7.3% interest.
   - It has a term of **10 years** and capitalized interest for her last year of college.
   
We need to calculate the monthly payment for both the federal loans and the private loan using the same formula.

I'll calculate the total monthly payment for all loans. Give me a moment.Here are the results for Pat's loans:

1. **Federal Loan Monthly Payment (each)**: \$66.75
2. **Total Monthly Payment for all 4 Federal Loans**: \$266.99
3. **Private Loan Monthly Payment**: \$42.36
4. **Total Monthly Payment for all Loans**: **\$309.34**

Would you like more details or have any questions?

Here are 5 related questions you might find useful:

1. How is the loan amortization formula derived?
2. What happens if Pat pays more than the minimum monthly payment?
3. How does interest capitalization affect the total amount paid?
4. What are the differences between federal and private student loans in terms of repayment options?
5. Can refinancing lower Pat's monthly payments?

**Tip**: Making extra payments early in the loan term reduces the principal faster, saving you money on interest over the life of the loan.

Pat receives a series of four annual federally subsidized student loans, each for $5800 at 6.8%. To defray rising costs for her senior year, 3 years after acquiring the first loan she takes out a private student loan for $3600 at 7.3% interest with a term of 10 years and capitalizes the interest for her last year of college. Payments on all loans are deferred until 6 months after graduation. Find her monthly payment.

Learn how to calculate monthly payments for four annual federal student loans ($5800 each at 6.8%) and a private loan ($3600 at 7.3%). This step-by-step solution covers loan amortization concepts and demonstrates how to compute the total monthly payments after deferment. Ideal for college-level finance students.

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