The New York Times posed a scenario with two individuals, Sue and Joe, who each have $1200 a month to spend on housing and investing. Each takes out a mortgage for $140,000. Sue gets a 30-year mortgage at a rate of 6.625%. Joe gets a 15-year mortgage at a rate of 6.25%. Whatever money is left after the mortgage payment is invested in a mutual fund with a return of 10% annually. Source: The New York Times. a) What annual interest rate, when compounded monthly, gives an effective annual rate of 10%? b) What is Sue's monthly payment? c) If Sue invests the remainder of her $1200 each month, after the payment in part (b), in a mutual fund with the interest rate in part (a), how much money will she have in the fund at the end of 30 years? d) What is Joe's monthly payment