Answer:
He would worth $ 635.62 ( approx )
Step-by-step explanation:
Since, the amount compounded continuously,
[tex]A=Pe^{rt}[/tex]
Where, P is the principal amount,
R is the rate per period,
t is the number of periods,
Here, P = $ 500,
r = 6 % = 0.06,
t = 4 years,
By substituting the values,
The amount after 4 years would be,
[tex]A=500e^{0.06\times 4}[/tex]
[tex]=500e^{0.24}[/tex]
[tex]=\$635.624575161\approx \$635.62[/tex]