Nick has lost faith in the banks, and has decided to diversify his portfolio by keeping some money under his mattress. He decides to put $2500 under his mattress and $2500 in a GIC with a 11% annual interest rate (compounded continuously). If there is a 6% annual inflation rate, when will the real value of Nick's investments be at a minimum?

NOTE: An inflation rate of 6% means that the real value of money is decreasing at this rate (compounded continuously). You should also consider what inflation does to the interest rate.

If [math] is the total real value of the investments after [math] years:
[math]

If [math] is the number of years until the value of the assets is a minimum:
[math]
NOTE: Use at least one decimal in your answer.

(you will lose 50% of your points if you do)