You are thinking of purchasing a house. The house costs $350,000. You have $50,000 in cash that you can use as a down payment on the house, but you need to borrow the rest of the purchase price. The bank is offering a 30-year mortgage that requires monthly payments and has an APR of 6% per year. What will your monthly payment be if you take this mortgage? how much interest is paid off in your first mortgage payment?