Definition: Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
Input: Problem: if $ 5,000 is invested in an account that earns 4 % interest compounded semi - annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ?
Options: a. $ 4, b. $ 8, c. $ 12, d. $ 16, e. $ 432
Output:
a