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An art collector invested $\$40,000$ in a trust fund with a $5.9\%$ interest rate compounded continuously to save for future art acquisitions. How long will it take for the trust fund to grow to $\$80,000$$?$$\newline$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.$\newline$Round your answer to the nearest tenth.