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An initial investment of $\$3,000$ grows to $\$9,000$ over a period of $5$ years in an account with continuous compounding. What is the annual interest rate? 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.