The typical term of fixed rate mortgage for a house 30 years. The mortgage has a norrunal annual interest rate of 4,5 percent pompounded monthly and payments are due at the end of each month a) 3 p.) What is the monthly payment ($/month it the borrowed principal is $100.0002 Express your answer to the nearest dollar 3 pt Suppose that the mortgage has the same term but that instead of quoting an interest rate, you are simply quoted a monthly payment of $586.75 per month. Based on this monthly payment, what is the nominal annual interest rate. Hint: you can use trial and error to find the solution. Express your answer as a percent with two decimal places. ci. 12 pt.) At an interest rate of 5.1 percent, the monthly payment is $542.95 per month. What is the amount of interest that will be paid over the life of the mortgage ($)? Express your answer to the nearest dollar Vd. 3 p.) The interest rate is typically lower if the term is shorter. Suppose that you can get a 20-year loan at a nominal annual interest rate of 3.5 percent, compounded monthly. What would be the monthly payment (5/month? Express your answer to the nearest dollar Ve) (2 pt.) Assume that the monthly payment for (d) is 5620/month (this is not the correct answer to (dl). What would be the total amount of interest paid on this loan ($)? Express your answer to the nearest dollar