Suppose you have a $175,000 30-year mortgage with a 4.5% interest rate on the loan. b. How much will you pay in interest if you pay the minimum monthly payment each month?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Mortgage Interest Calculation Example**

**Scenario:**
- Mortgage Amount: $175,000
- Loan Term: 30 years
- Interest Rate: 4.5%

**Question:**
b. How much will you pay in interest if you pay the minimum monthly payment each month?

**Explanation:**
To calculate the total interest paid, you will need to determine the monthly payment and the total payment over the loan term, then subtract the original loan amount.

**Note:** No graphs or diagrams are provided with this question.
Transcribed Image Text:**Mortgage Interest Calculation Example** **Scenario:** - Mortgage Amount: $175,000 - Loan Term: 30 years - Interest Rate: 4.5% **Question:** b. How much will you pay in interest if you pay the minimum monthly payment each month? **Explanation:** To calculate the total interest paid, you will need to determine the monthly payment and the total payment over the loan term, then subtract the original loan amount. **Note:** No graphs or diagrams are provided with this question.
Expert Solution
Step 1

Given that, the loan amount is P=$175,000, interest rate r=4.5%, time n=30 years and due is monthly payment m=12.

Substitute P=$175,000, r=0.045, m=30 and n=12 in PMT=Prm1-1+rm-m×n.

PMT=1750000.045121-1+0.04512-12×30=886.6992886.70

Therefore, the monthly payment is $886.70.

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