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A man buys a house for $300,000. He makes a $50,000 down-payment and amortizes the rest of the debt with monthly payments over the next

A man buys a house for $300,000. He makes a $50,000 down-payment and amortizes the rest of the debt with monthly payments over the next 20 years. The interest rate on the debt is 12% compounded monthly.

Find:

(a) The size of each payment

(b) The total amount paid over the life of the loans

(c) The total interest paid over the life of the loan.

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