Aya and Harumi would like to buy a house and their dream house costs $500,000. They have $50,000 saved up for a down payment but would still need to take out a mortgage loan for the remaining $450,000 and theyre not sure whether they could afford the monthly loan payments. The bank has offered them an interest rate of 4.25%, compounded monthly. How much would they have to be able to afford to pay each month in order to pay off her mortgage in 25 years? What if Aya and Harumi could only afford a monthly payment of $2,000? What would be the maximum mortgage amount they could afford to borrow from the bank, if all the other conditions were the same?