You want to buy a $$223,000$ home. You plan to pay $10\%$ as a down payment, and take out a $30$ year loan for the rest.

a$)$ How much is the loan amount going to be$?$

$$,0$

b$)$ What will your monthly payments be if the interest rate is $6\%?$

$$

c$)$ What will your monthly payments be if the interest rate is $7\%?$