Answer:
$11535.60 will be in his account when he is 40 years old
Step-by-step explanation:
Jackson deposited $5,000 at 3.8% interest, compounded continuously, when he was 18 years old
Time period is from 18 years to 40 years
t= 40 - 18 = 22
For compounding continuously we use formula
[tex]A= Pe^{rt}[/tex]
P = initial amount deposited = 5000
r= rate of interest = 3.8% = 0.038
t= time period = 22 years
now plug in all the values and find out A final amount
[tex]A= 5000e^{0.038*22}[/tex]
[tex]A= 5000e^{0.836}[/tex]
A= 11535.60
