You have just purchased a home and taken out a $580,000 mortgage. The mortgage has a 30-year term with monthly payments and an APR of 6.80%. 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 20th 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? The principal payment will be $ The interest payment will be $ (Round to the nearest dollar.) (Round to the nearest dollar.) 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)? The principal payment is $ (Round to the nearest dollar.) The interest payment is $ (Round to the nearest dollar.)