the answer is on the right side but i dont understand how they got all that.

A buyer can afford no more than $500 per month in payments. The most favorable loan available in the market is a 30-year loan at 10% (APR compounded semiannually). What is the maximum affordable house with a 10% down payment? (Pick the closest number) a. $55,000 PMT 500 b. $57,959 Term 30 years 360 Months QR 10% c. $64,399 EMR 0.0081648 d. $65,679 PV $57,959.73 =0.9* Price e. $180,000 Price $64,399.70 Solution