Amadou invested $630 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 ​ % compounded continuously. Andres invested $630 in an account paying an interest rate of 2\tfrac{7}{8}2 8 7 ​ % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Andres's money to double than for Amadou's money to double?