Suppose you have the following three student loans: $$10,000$ with an APR of $6\mathrm{.}5\%$ for $12$ years, $$17,000$ with an APR of $7\%$ for $17$ years, and $$13,500$ with an APR of $8\%$ for $7$ years.

a$.$ Calculate the monthly payment for each loan individually.

b$.$ Calculate the total you'll pay in payments during the life of all three loans.

c$.$ A bank offers to consolidate your three loans into a single loan with an APR of $7\%$ and a loan term of $17$ years. What will your monthly payments be in that case? What will your total payments be over the $17$ years?

a$.$ The monthly payment of the $$10,000$ loan is $ $$

$($Do not round until the final answer. Then round to the nearest cent as needed.$)$