3. Catherine planned to buy a house but could afford to pay only $15,000 at the end of every 6 months for a mortgage with an interest rate of 6.40% compounded semi-annually for 25 years. She paid $20,750 as a down payment.

a. What was the maximum amount she could afford to pay for a house?

Round to the nearest cent

b. What was her total amount spent for the house through the mortgage period including the downpayment (not taking the time-value of money into account)?

Round to the nearest cent

c. What was the total amount of interest paid through the mortgage period?

Round to the nearest cent