Avery invested $3,800 in an account paying an interest rate of 5\tfrac{1}{2}5
2
1
% compounded monthly. Serenity invested $3,800 in an account paying an interest rate of 6\tfrac{1}{8}6
8
1
% compounded continuously. After 17 years, how much more money would Serenity have in her account than Avery, to the nearest dollar?