Answer:
$5751.37
Step-by-step explanation:
The key phrase here is "compounded continuously". This phrase tells you that you must use the following equation:
[tex]A=Pe^{rt}[/tex]
Where A is the final amount, P is the principal amount, e is the exponential constant, r is the rate in decimals and t is time. By plugging in our known values given we obtain:
[tex]A=5000e^{0.02 \times 7}=5751.37[/tex]