Consider a $116,754, 30-year mortgage at interest rate 6% compounded monthly with a $700 monthly payment. (a) How much interest is paid the first month? (b) How much of the first month's payment is applied to paying off the principal? (c) What is the unpaid balance at the end of 1 month? (a) The interest paid the first month is $ (Round to the nearest cent as needed.) (b) $ of the first month's payment is applied to paying off the principal. (Round to the nearest cent as needed.) (c) The unpaid balance at the end of one month is $ (Round to two decimal places as needed.)