A company opens an account with an initial balance of $\$36,100.00$. The account earns interest, and no additional deposits or withdrawals are made. The account balance is given by an exponential function $A$, where $A(t)$ is the account balance, in dollars, $t$ years after the account is opened. The account balance after $13$ years is $\$68,071.93$. Which equation could define $A$ ?