If an initial amount of $$2200$ is invested in an account at an annual interest rate of $4\mathrm{.}9\%,$ compounded continuously, the total amount in the account after t years is given by:

A$($t$)=2200$e$^0\mathrm{.}049$t

Find the rate of change of the total amount in the account after $4$ years.$($Round the answer to the nearest cent$).$ The total amount in the account is increasing by$\_\_\_\_\_$ dollars per year after $4$ years.