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David deposited $\$2,500$ in a bank account, and it grew to $\$5,000$ in $6$ years. Calculate the annual interest rate, compounded continuously. Round your answer to the nearest two decimal places in percentage form. Use the formula $A = Pe^{rt}$, where $A$ is the balance (final amount), $P$ is the principal (starting amount), $e$ is the base of natural logarithms ($\approx 2.71828$), $r$ is the interest rate expressed as a decimal, and $t$ is the time in years.