Respuesta :

A=pe^rt
A=500×e^(0.06×4)
A=635.62

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]