You decide to buy your first home several years after college. You put down $$20,000$ on a $$270,000$ home. You get a $30-$yr fixed rate loan at $7\mathrm{.}5\%$ annually. Create a loan amortization NumLock able to answer the following questions. $($Round all answers to the nearest dollar$)$

a$)(6$pts$)$ Find your monthly mortgage payment $($i$.$e$.$ just the loan, because actual monthly payments typically include mortgage insurance, homeowner$$s insurance, property taxes, HOA fees, and other costs held in escrow$).$

b$)(6$pts$)$ In month $300,$ how much of your payment is being used for interest?

c$)(6$pts$)$ In month $300,$ how much of your payment is being used principal?