$8\mathrm{.}2$ Loan Calculations $|$IIt is not uncommon to borrow $$100,000$ or more to purchase a home. Banks typically offer $15-,20-,$ or$30-$year loans.a$.$ Calculate the monthly loan payment to repay a $$100,000$ home loan at $7\%$ APR over $30$ years.b$.$ How much more must be paid each month to pay off the loan in $15$ Years?