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

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 \(A = Pe^{rt}\), 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 \(\boxed{18.31}\) years for an investment to triple if interest is compounded continuously at 6%.