You want to buy a $$181,000$ home. You plan to pay $20\%$ as a down payment, and take out a $30$ year loan for the rest. Consider each question below and round each answer to the nearest cent.

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

$

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 $7\%?$