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.

[EX Q]: Problem: if p ( a. = 5 / 7 and p ( b. = 2 / 5, find p ( a n b. if a and b are independent events.
Options: a. 7 / 25, b. 3 / 25, c. 8 / 25, d. 2 / 7, e. 3 / 17
[EX A]: d

[EX Q]: Problem: lucy bought a 1 - year, 10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually. what was the total amount of interest paid on this certificate at maturity ?
Options: a. 10464, b. 864, c. 816, d. 800, e. 480
[EX A]: d

[EX Q]: Problem: running at the same constant rate, 6 identical machines can produce a total of 420 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes ?
Options: a. 648, b. 1800, c. 2800, d. 10800, e. 10900
[EX A]:
c