Thomas recently graduated with his Masters degree, and landed a great job. He decided that he wants to begin investing and he has asked you for advice. He wants to know that if he invests $4,000$ today and leaves it invested for $10$ years at a rate of $8\%$ compounded annually, plus he invests $200$ per month at the end of each month with the same rate of return and compounding frequency, how much will his investment be worth at the end of $10$ years?