A man buys a house for \( \$ 320,000 \). He makes a \( \$ 150,000 \) down payment and amortizes the rest of the purchase price with semiannual payments over the next 7 years. The interest rate on the debt \( 10 \% \), compounded semiannually.
(a) Find the size of each payment.
\$ \( \square \)
(b) Find the total amount paid for the purchase.
\$ \( \square \)
(c) Find the total interest paid over the life of the loan.