After 5 years the amount in the account will be $ 487.
Explanation:
Compound Interest, A =
![P ( 1 + (r)/(n))^ {nt}](https://img.qammunity.org/2021/formulas/mathematics/high-school/59arlskpjhgrse8j215umfq823ilgzzd0i.png)
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 =
![400 ( 1 + (0.04)/(1))^ {1* 5}](https://img.qammunity.org/2021/formulas/mathematics/high-school/bkw5vdgcsw9n4z17jjeyal6xf53va66ct9.png)
= 400(1+ 0.04)⁵
= 400(1.04)⁵
= 486.66 ≈ $ 487