I am dirt poor, and want to get a loan to buy some Taco Bell. Specifically, I need $$14\mathrm{.}72,$ and can pay $$1$ a month from my friendly neighborhood loan shark, Andrew. Andrew charges me a perfectly fair $50\%$ APR, monthly compounded. How many months will it take me to pay back Andrew, rounded up to the whole month?

Question $13$ options:

$24$ months

At $50\%,$ you will never pay it back

$15$ months

$32$ months

None of these.

$35$ months