The New York Times posed a scenario with two individuals, Sue and Joe, who each have exist1250 a month to spend on housing and investing. Each takes out a mortgage of exist140,000. Sue gets a 30-year mortgage at a rate of 6.625%. Joe gets a 15-year mortgage at a rate of 6.2448%. Whatever money is left after the monthly mortgage payment is invested in a mutual fund with a return of 10% annually. a) What nominal rate gives an effective rate of 10% annually when compounded monthly? b) How much money does Sue have left over to invest each month? c) How much money is in Sue's mutual fund at the end of the 30-year period? d) How much money does Joe have left over to invest each month? e) How much money is in Joe's mutual fund at the end of the 30-year period