To accept the answer means to agree with or acknowledge the response or solution given to a question or problem. It implies that you believe the answer is correct or satisfactory. Full definition
I've tried to explain to him that we don't always have dessert, but he just doesn't accept that answer. (lastingredient.com)
The insurer accepts your answers as fact when originally writing your premium, but all insurance company's check on your driving record before deciding your actual risk and premium rate. (autoinsuresavings.org)
You can get paid for every successful and accepted answer on sites like Just Answer. (entrepreneur.com)