We have a initial deposit of $10,000 (PV=10,000).
The investment last 6 years (t=6).
The annual interest rate is 3.2% (r=0.032) and is compounded continously.
The equation to calculate the future value FV of the inverstment for this conditions is:
[tex]\begin{gathered} FV=PV\cdot e^{rt} \\ FV=10,000\cdot e^{0.032\cdot6} \\ FV=10,000\cdot e^{0.192}. \\ FV\approx10,000\cdot1.2116705 \\ FV\approx12,116.71 \end{gathered}[/tex]The value of her investment will be $12,116.71.