rMarina had an accident with her car and the repair bill came to $$900.$ She didn't have any emergency fund money and no extra money in her monthly budget, so she ended up borrowing from a pay$-$day loan company. As long as she can pay the loan back at the end of the $30$ day period she won't be charged any interest, technically. However, she did have to pay an $$19$ processing fee per $$100$ that she borrowed.

If she were to consider the processing fee to represent interest paid in her formula, what would she discover to be the annual interest rate she was charged on her short term loan?