Answer:
$7209.78
Explanation:
To find the amount in the account after 6 years, we will use the following equation
[tex]A=Pe^{rt}[/tex]
Where P is the initial amount, r is the interest rate and t is the time in years.
So, replacing P = $5000, r = 6.1% = 0.061, and t = 6 years, we get
[tex]\begin{gathered} A=5000e^{0.061t} \\ A=5000e^{0.061(6)} \\ A=5000e^{0.366} \\ A=5000(1.44) \\ A=7209.78 \end{gathered}[/tex]
Therefore, the answer is $7209.78
