Tiina Veltmann set up a trust fund for her daughters education when she was born and deposited $300 monthly (end) for 19 years. At 19 her daughter will then go to college and begin making $3,400 beginning of quarterly withdrawals from the same trust fund when she turns 19. If we assume the account always earns 7% compounded semi-annually, determine:

a) How much is in the account in 19 years?

b) For how long (in years) can her daughter make those $3,400 withdrawals before the money runs out?