Diane owes $20125.00 to the bank after completing her college degree. With the funds from her new job she is paying back $144.00 per month. Her friend Teresa was given $16835.60 in the bank for college from her family, and she is spending $394.00 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?