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John just bought a house in a rural neighborhood. The price negotiated for the home was $148,097. He made a $20,000 down payment and financed the balance with a 22-year-old house mortgage loan at an APR of 3.00% compounded monthly. A) what is his monthly mortgage? Over the course of paying for the house, how much will he pay in interest alone?

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Final answer:

John's monthly mortgage is approximately $576.13 and he will pay approximately $151,316.56 in interest alone over the course of paying for the house.

Step-by-step explanation:

To calculate John's monthly mortgage, we will first find the loan amount by subtracting the down payment from the negotiated price of the house:

Loan Amount = House Price - Down Payment

Loan Amount = $148,097 - $20,000

Loan Amount = $128,097

Next, we will use the loan amount, the interest rate (3.00% APR), and the loan term (22 years) to calculate the monthly mortgage using the formula for monthly mortgage payment:

Monthly Mortgage = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Loan Term))

Let's plug in the values:

Monthly Interest Rate = (3.00% / 100) / 12

Monthly Mortgage = ($128,097 * 0.0025) / (1 - (1 + 0.0025)^(-22))

Using a mortgage calculator, we find that John's monthly mortgage is approximately $576.13.

To calculate the total interest paid over the course of paying for the house, we will multiply the monthly mortgage by the total number of months:

Total Interest = Monthly Mortgage * (Loan Term * 12)

Total Interest = $576.13 * (22 * 12)

We find that John will pay approximately $151,316.56 in interest alone.

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