The Leungs decided to build a new house. The contractor quoted them  a price of $215,000, including the lot. The taxes on the house would be $3200 per year, and homeowners’ insurance would cost $450 per year. They have applied for a conventional loan from a bank. The bank is requiring a 15% down payment, and the interest rate is 5.5% with 2 points. The Leung’s annual income is $122,740. They have more than 10 monthly payments remaining on each of the following: $220 for a car, $175 for new furniture, and $210 on a college education loan. Their bank will approve a loan that has a total monthly house payment of principal, interest, property taxes, and homeowners’ insurance that is less than or equal to 28% of their adjusted monthly income.

a) Determine the total cost of the house (excluding homeowners’ insurance and taxes) after 30 years.

b) How much of the total cost is interest, including points?