Problem $6$

You plan to purchase a house valued at $$720,000\mathrm{.}00$ using a $20-$year mortgage obtained from your local credit union. The mortgage rate offered to you is $4\mathrm{.}20\%.$ You will make a down payment of $20\mathrm{.}00\%$ of the purchase price.

a$)$ Calculate the amount of interest and principal paid for payment $30.$

b$)$ Calculate the amount of interest and principal paid for payment $200.$