Audrey invested $9,800 in an account paying an interest rate of 2\tfrac{7}{8}2 8 7 % compounded annually. Naomi invested $9,800 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded continuously. To the nearest dollar, how much money would Audrey have in her account when Naomi's money has doubled in value?