Q$1$: You invest $$13000$ in a $9-$month CD account.$($a$)$ How much money will be in the account if you let the account fully mature? Round your answer to the nearest cent.$($b$)$ Suppose you pull your money out of the account after $18$ months. How much will you withdraw after penalties? Round your answer to the nearest cent. Careful! The account will only have accrued $18$ months of interest instead of the entire $9!$Q$2$: You invest $$13000$ in a $19-$month CD account.$($a$)$ How much money will be in the account if you let the account fully mature? Round your answer to the nearest cent.$($b$)$ Suppose you pull your money out of the account after $18$ months. How much will you withdraw after penalties? Round your answer to the nearest cent.$$Q$3$: You invest $$13000$ in a $29-$month CD account.$($a$)$ How much money will be in the account if you let the account fully mature? Round your answer to the nearest cent.$($b$)$ Suppose you pull your money out of the account after $20$ months. How much will you withdraw after penalties? Round your answer to the nearest cent.$$Q$4$: You invest some money in a $9-$month CD account. How much does your initial investment need to be if you would like to have $$30000$ at the end of the $9$ months? Round your answer to the nearest cent.Q$5$: You invest some money in a $19-$month CD account. How much does your initial investment need to be if you would like to have $$30000$ at the end of the $19$ months? Round your answer to the nearest cent.$$Q$6$: You invest some money in a $29-$month CD account. How much does your initial investment need to be if you would like to have $$30000$ at the end of the $29$ months? Round your answer to the nearest cent.$$