Logan invested $80,000 in an account paying an interest rate of 1\tfrac{1}{4}1 4 1 ​ % compounded monthly. Leah invested $80,000 in an account paying an interest rate of 1\tfrac{7}{8}1 8 7 ​ % compounded continuously. After 17 years, how much more money would Leah have in her account than Logan, to the nearest dollar?