Answer :
After 5 years the amount in the account will be $ 487.
Step-by-step explanation:
Compound Interest, A = [tex]P ( 1 + \frac{r}{n})^ {nt}[/tex]
Where A denotes the investment's future value
P is the Principal amount = $ 400.00
r is the rate of interest annually in decimals = 0.04
n is the no. of times the interest is compounded per unit time, t = 1
t - the number of years or days or months the amount is invested = 5 years
Now we have to plug in those values in the above formula as,
A = [tex]400 ( 1 + \frac{0.04}{1})^ {1\times 5}[/tex]
= 400(1+ 0.04)⁵
= 400(1.04)⁵
= 486.66 ≈ $ 487