Sam and Randy each take out a loan for $7,033. Sam's loan has an annual rate of 18.2% with semi-annual compounding (twice per year). Randy's loan has the same annual rate, but it uses continuous compounding. How many months does Randy need to wait in order to have the same debt that Sam will have after 109 months?

In this question you will need to solve for t in FV = PVe^rt. Start by dividing both sides by PV. Then use logarithms to "bring down" the exponent.