Explanation
In the question, we are given the following parameters.
[tex]\begin{gathered} Principal=\text{ \$5000} \\ rate=6.1\text{\%} \\ time\text{ =6 years} \end{gathered}[/tex]
Since the principal is compounded continuously we will use the function below;
[tex]A=Pe^{rt}[/tex]
Therefore;
[tex]\begin{gathered} A=5000e^{\frac{6.1}{100}\times6} \\ A=5000e^{0.366} \\ A=7209.7762 \end{gathered}[/tex]
Answer: $7209.7762
