Aubree invested $1,000 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded daily. Mia invested $1,000 in an account paying an interest rate of 6\tfrac{3}{8}6 8 3 % compounded quarterly. After 11 years, how much more money would Mia have in her account than Aubree, to the nearest dollar?