For the following problems, determine how many years it will take for the two accounts to reach the same amount.
a. A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
b. A 2000 dollar investment at a rate of 4% compounded continuously and a 3000 dollar investment at a rate of 5% compounded monthly.