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A technology startup received a seed investment of $\$50,000$ and wants to grow this amount by investing it in a high-yield account with a $7\%$ interest rate compounded continuously. How many years will it take for the investment to reach $\$100,000$$?$$\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.