You have just purchased a home and taken out a $410,000 mortgage. The mortgage has a 30 -year term with monthly payments and an annual percentage rate (APR) (with semi-annual compounding) of 6.96%. (Note: Be careful not to round any intermediate steps less than six decimal places.) a. How much will you pay in interest, and how much will you pay in principal, during the first year? b. How much will you pay in interest, and how much will you pay in principal, during the twentieth year (i.e., between 19 and 20 years from now)? a. How much will you pay in interest, and how much will you pay in principal, during the first year? Durind the first year, you will pay an interest payment of $. (Round to the nearest dollar.) During the first year, you will pay a principal payment of \$ . (Round to the nearest dollar.)