You are 25 years old today and are thinking about buying a house in the future. Your plan to save $5, 000 each year, starting next year (age 26) toward down-payment on the house.You plan to buy a $200K house at age 35.and finance the rest of its cost (i.e., the price minus the downpayment) with a mortgage. Annual interest rate is 5%. (a) What front payment can you afford at age 35? Give formula (in age 35 dolllars).. (b) Assuming that you can spend $1K per month on mortgage repayment, starting at age 36. How many years will it take you to pay it off? Give formula. (c) Assume you wish to pay the mortgage off in exactly thirty years (ages 36 to 65). What would be the monthly payment? Give formula.