Jane saved 500 every three months for four years in her daughter's account which paid 4% compounded semi-annually. Immediately after Jane had made the last deposit, her daughter withdrew half of the amount in the account and invested in bank A that paid 6% compounded monthly. Two years later, the bank increased the interest rate to 7% compounded monthly.

(a) Find the amount in her daughter's account at bank A one and a half years after the interest rate hike.

(b) Her daughter withdrew 200 every month from the bank A. The first withdrawal was 19 months after the interest rate hike. Find the number of times she withdrew 200 from bank A