You have found your dream home, which is listed for $$300,000.$ You put $15\%$ of the price of the home as a down payment and take out a loan for the remaining cost. The bank offers you a $25-$year fixed loan with $4\mathrm{.}5\%$ APR compounded monthly. Round all answers to the nearest cent.

a$.$ Calculate the principal amount financed $($loan amount$).$

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b$.$ Calculate the minimum monthly payment.

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c$.$ Calculate the total interest paid over the life of the loan if only the minimum monthly payments are made.

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