Donald Trump was finally put in jail, so Ivanka had to set up her own plan for her son Dumbo Jr. The plan will see her deposit $108 quarterly (end) for 21 years into his 6% compounded semi-annually college savings plan. Then Dumbo Jr. will receive beginning of the month payments of $800 while in college. For how many years will the funds last while in college? 

a) How much money is in the account in 21 years?

b) For how long (in months) will the $800 beginning of the month payments last before running out?