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2. [ 2 pts] A house is purchased for $350,450. A down payment of 15% is made and the remainder is financed with a thirty-year fixed loan to be paid off in monthly installments at the end of each month. Assume the annual interest rate is 9% convertible monthly. a) At what time docs the balance reach 50% of the amount originally financod? b) At what time does the percentage of each payment to principal first exceed 50% ? c) What is the total amount of interest paid? d) What is the loan balance just after payment number 145