Diane owes $14623.00 to the bank after completing her college degree. With the funds from her new job she is paying back $154.00 per month. Her friend Teresa was given $17563.70 in the bank for college from her family, and she is spending $239.00 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?