1. You decide to buy a house costing $400,000. You pay $100,000 down, and the remainder will be paid in monthly installments over 30 years at 4% compounded monthly. a) How much of the 200th payment...

 1. You decide to buy a house costing $400,000. You pay $100,000 down, and the remainder will be paid in monthly installments over 30 years at 4% compounded monthly.

a) How much of the 200th payment will go to the principal and how much to interest?

b) How much interest will be paid over the entire length of the loan?