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3. A house is purchased for $200,000 and a 20% down payment is made. The balance is financed by a 30 year adjustable rate mortgage

3. A house is purchased for $200,000 and a 20% down payment is made. The balance is financed by a 30 year adjustable rate mortgage with monthly payments. The initial interest rate is 12% per annum, compounded monthly. Just after the 240th payment, the interest rate is increased to 14% compounded monthly. The payments remain at the original amount until a final smaller payment fully repays the loan. What is the total number of monthly mortgage payments made over the life of the loan, including the final smaller payment

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