Brandon invested $1,100 in an account paying an interest rate of 7\tfrac{3}{4}7
4
3
​
% compounded continuously. Julian invested $1,100 in an account paying an interest rate of 8\tfrac{1}{4}8
4
1
​
% compounded monthly. After 18 years, how much more money would Julian have in his account than Brandon, to the nearest dollar?