Diane owes $39231.00 to the bank after completing her college degree. with the funds from her new job she is paying back $174.00 per month. her friend teresa was given $4328.00 in the bank for college from her family, and she is spending $256.00 per month out of this college fund. if these were continuous functions, after how many months will diane have the same bank balance than teresa, rounded to the nearest tenth?