I$\text{'}$m in a pinch and need to borrow $$50$ from a friend. Unfortunately for me$,$ however, my friend loves earning interest payments, so he is offering me to loan me some money with an interest rate of $27\%$ APR, monthly compounded.

I can only afford to pay back $$2\mathrm{.}50$ per month. How many months will it take me to pay back my friend $($rounded to the nearest whole number$)?$

Question $16$ options:

$30$

$28$

$33$

$33$

At this APR, you will never catch up on the principal

None of these

$29$

$26$

$55$

$30$

$27$