Problem $7-1($LG $7-4)$ You plan to purchase a $\backslash (\backslash$$ $150,000\backslash )$ house using a $15-$year mortgage obtained from your local credit union. The mortgage rate offered to you is $6\mathrm{.}75$ percent. You will make a down payment of $15$ percent of the purchase price. a$.$ Calculate your monthly payments on this mortgage. b$.$ Calculate the amount of interest and, separately, principal paid in the $60$th payment. c$.$ Calculate the amount of interest and, separately, principal paid in the $150$th payment. d$.$ Calculate the amount of interest paid over the life of this mortgage. $($For all requirements, do not round intermediate calculations. Round your answers to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$