Amortization table (mortgage principal and interest per $1,000 ) Pat Lavoie bought a home for $180,000 with a down payment of $10,000. Her rate of interest is 6% for 30 years. (Use Table 15.1 .) a. Calculate her monthly payment. b. Calculate her first payment, broken down into interest and principal. c. Calculate her balance of mortgage at the end of the month