Answer:
D
Step-by-step explanation:
Continuous compound is given by the following formula:
[tex]A=Pe^{rt}[/tex]
Where A is the ending amount, P is the initial amount, e is Euler's number, r is the rate, and t is the time in years.
We have a $5000 investment at 4% or 0.04 for 18 years. Therefore:
[tex]A=5000e^{(0.04)(18)}[/tex]
Use a calculator:
[tex]A\approx\$ 10272.17[/tex]
Hence, our answer is D.
Step-by-step explanation:
P(t) = P0 * e^rt
=> P(18) = $5000 * e^(0.04 * 18) = $10,272.17. (4)