How long will it take for an investment to triple, if interest is compounded continuously at $6\mathrm{\%}$ ?

Step 1 ：We are given that the interest is compounded continuously at a rate of 6%. We want to find out how long it will take for an investment to triple.

Step 2 ：We can use the formula for continuous compounding, which is $A=P{e}^{rt}$, where $A$ is the final amount, $P$ is the principal amount, $r$ is the interest rate, and $t$ is the time.

Step 3 ：In this case, we want the final amount to be triple the principal amount, so we can set $A=3P$.

Step 4 ：Let's set $P=1$, $A=3$, and $r=0.06$. We can then solve for $t$.

Step 5 ：Solving the equation gives us $t=18.310204811135165$.

Step 6 ：Rounding to two decimal places, we get $t=18.31$.

Step 7 ：Final Answer: It will take approximately $\boxed{{\displaystyle 18.31}}$ years for an investment to triple if interest is compounded continuously at 6%.