You have just purchased a home and trken out a $410,000 mortgago. The morigage has a 30-yoar term with mionthly payments and an annual percentage tate (APR) (with semi -ainnual compounding) of 7.44\%. (Note. Be careful not to round any intermediale steps fest than six decimal places.) a. How much will you pay in interest, and how much will you pay in priocigal, turing the first year? b. How much wal you pay in interest, and how much will you pay in principat, during the twenteth year (i.0., between 19 and 20 years from now)? a. How much will you pay in interest, and how much will you pay in prinopai, during the first year? During the first year, you will psy an interest payment of $209317. (Round to the nearest dolar) bring the fra yeaf, you wi pay a prncipal payment 53,906. (Round to the noacest dolat.) b. How much wil you pay in interest and how much wal you pay in principal, turng the teventieth year (le, between 19 and 20 years from nowy? During the twenteth year, you wal pay an interest noyment of ? Ourwa eve twenteth yeat, you wa a prinepal payment of (Found to the nearest dolliag) (Round lo the nearest dollar)