The Begays finance $162,000 for a 30-yr home mortgage at an annual interest rate of 5%, compounded monthly a) Find the monthly payment needed to amortize this loan in 30 years. b) Assuming that the Begays make the payment found in part (a) every month for 30 years, find the total interest they will pay. c) Suppose the Begays pay an extra 11% every month (thus, Q = 1.11. p). Find the time needed to amortize the $162,000 loan d) About how much total interest will the Begays pay if they pay Qevery month? e) About how much will the Begays save on interest if they pay Q rather than p every month? M (Round to the nearest cent as needed.) c) Complete the equation you can use to find the number of years needed to amortize the loan with the larger payment In ((12)( ) in ((12) - (0.05)) y puyu Won T W wypay ITINUE In 1+ 0.05) Type integers or decimals rounded to two decimal places as needed.) Enter your answer in each of the answer boxes 18 O Type here to search o te $ N 9