This really isn't a question on sequences & series, but on exponential functions. I probably would have put this question in the Pre-Calculus subforum.
P = initial investment
r = annual interest rate
k = number of times the interest is compounded per year
t = time in years
A = amount after time t
In your case, P = 10,000, r = 0.065, k = 2, and t = 5:
After 5 years, after withdrawing $8,000.00 from her account, she will have $5,768.94 left.
For part b, P is now 5768.94:
Jen will have $6,150.01 in her account when she returns from Europe a year later.