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.

Problem: michelle deposited a certain sum of money in a savings account on july 1 st, 2007. she earns an 14 % interest compounded semiannually. the sum of money in the account on december 31 st, 2009 is approximately what percent of the initial deposit ?
Options: a. 117 %, b. 120 %, c. 121 %, d. 138 %, e. 145 %
d

Problem: find the maximum value of the function f ( x ) = x 5 if x is a number between - 5 and 13.
Options: a. 6, b. 7, c. 8, d. 9, e. none
c

Problem: a set of pictures of butterflies contains 10 pictures. jim bought 3 of the pictures. if 2 pictures are to be picked out from the 10 pictures, what is the probability that both pictures are not those that were already bought by jim ?
Options: a. 14 / 15, b. 3 / 5, c. 6 / 13, d. 7 / 15, e. 7 / 10
d