Moxie fox deposited $30,000 in a savings account at 6% interest compounded semiannually. at the beginning of year 4, moxie deposits an additional $60,000 at 6% interest compounded semiannually. at the end of six years, what is the balance in moxie's account?

I will assume she didn't deposit the first three years. So on the first quarter of the year 4, she takes home $ (30, 000 * 0.04) + $30, 000 = $1200 + $30, 000 = $31, 200. At the end of that year. She takes home $ (31, 200*0.04) + $31, 200 = $1248 + $31, 200 = $32, 448. In the fifth year. She takes home $ (32, 448 * 0.04) + $32, 448 = $1297 + $32, 448 = $33, 745. Again, at the end of that year she has $33, 745 * 0.04 + 33, 745 = $35, 094. On the sixth year the interest increases so we have $ (35, 094 * 0.06) + 35, 094 = $ 37, 199. Again at the end of the year she has $ (37, 199 * 0.06) + $37, 199 = $2231 + $37, 199 = $39, 430