Your Aunt Has $500, 000 Invested at 5

Your aunt has $500, 000 invested at 5.5%, and she now wants to retire.She wants to withdraw $45, 000 at the beginning of each year, beginning immediately.When she makes her last withdrawal (at the beginning of a year) , she also wants to have enough left in the account so that you can make a final withdrawal of $50, 000 at the end of that year (her last withdrawal is at the beginning of the year, your withdrawal is at the end of that same year) .What is the maximum number of $45, 000 withdrawals that she can make and still have enough in the account so that you can make a $50, 000 withdrawal at the end of the year of her last withdrawal? (Hint: If your solution for N is not an integer, round down to the nearest whole number.)

A) 13
B) 14
C) 15
D) 16
E) 17