Answer each part of the question, and show your work.

Question :You want to buy a $$212,000$ home. You plan to pay $10\%$ as a down payment, and take out a $30$ year loan for the rest.

a$.$ What is $10\%$ of the total cost?

b$.$ How much is the loan amount going to be$?$

c$.$ What formula would you use to calculate the monthly payments?

d$.$ What will the monthly payments be if the interest rate is at $6\%?$

e$.$ What will your monthly payments be if the interest rate is at $7\%?$

f$.$ From your findings in part d and e$,$ which interest rate is the best option, and why? Answer in $1-3$ complete sentences