Melissa deposits 3400 dollars in an account paying 11.6 percent interest convertible monthly. One year later, she withdraws 400 dollars. If there are no other transactions, how long will it take (since her original deposit) for her account balance to reach 8400 dollars? (Assume simple interest between compoundings, use the monthly interest rate in the simple interest formula, and assume that a month has 365/12 days.)
Answer = months and days.
(Note: your answer for the number of months should be a whole number, while your answer for the number of days should be a decimal approximation.)