Jamal Brown is a 55-year-old engineer. According to mortality tables, a male at age 55 has an average life expectancy of 21 more years. Jamal has accumulated $200,000 toward his retirement account. He is now adding $10,000 a year to his retirement fund. The fund earns 5% interest. Jamal will retire when he can obtain an annual income from his retirement of $100,000, assuming he lives to 76. He will make no provision for a retirement income after age 76. What age can Jamal retire at?

I calculated Jamal to be 72 when he retires in order for him to be to able to draw out $100,000 a year after his retirement. I just wanted to make sure my answer was correct, and that my equation used the correct factors.

Please show all your work, and you can use either formulas or factors, Thank You!