You have just purchased a home and taken out a $$460,000$ mortgage. The mortgage has a $30-$year term with monthly payments and an APR of $6\mathrm{.}08\%.$ 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 $20$th year $($i$.$c$.,$ between $19$ and $20$ years from now$)?$ Explanation not in excel format. Please provide workings for each step.