A home buyer can only afford to pay $6,000 per month in mortgage payments. Assume she takes on a 30 -year mortgage that has a 6% APR with monthly compounding with the first payment to the bank starting exactly one month from today. What is the maximum amount the home buyer can borrow today? What is the total amount still remaining to be repaid at the end of year 12 (right after the last payment in year 12 has been made)