Suppose you have the following three student$$ loans: $$$$10,000$ with an APR of $6\mathrm{.}5\%$ for $17$years$,$$$15$ comma $000$ with an APR of $7\%$ for $22$years$,$ and $$$$12,500$ with an APR of $8\%$ for $12$ years. a$.$ Calculate the monthly payment for each loan individually. b$.$ Calculate the total$$ 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 $22$ years. What will your monthly payments be in that$$ case? What will your total payments be over the $22$years$?$ Question content area bottom Part $1$ a$.$ The monthly payment of the $$$$10,000$ loan is $$$$\_\_\_\_\_($Do not round until the final answer. Then round to the nearest cent as$$ needed.$)$