Aiden invested $43,000 in an account paying an interest rate of 9\tfrac{3}{4}9
4
3
% compounded continuously. Levi invested $43,000 in an account paying an interest rate of 9\tfrac{5}{8}9
8
5
% compounded monthly. After 13 years, how much more money would Aiden have in his account than Levi, to the nearest dollar?