Given:
Principal value = $5823.00
Rate of interest = 2.25%
Time = 4 years
To find:
The amount in the account after 4 years.
Solution:
The formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
where, P is principal, r is rate of interest and t is time period.
Putting P=5823, r=2.25 and t=4 in the above formula.
[tex]A=5823\left(1+\dfrac{2.25}{100}\right)^4[/tex]
[tex]A=5823\left(1+0.0225\right)^4[/tex]
[tex]A=5823\left(1.0225\right)^4[/tex]
[tex]A=5823(1.0930833)[/tex]
[tex]A=6365.0240559[/tex]
[tex]A\approx 6365.024[/tex]
Therefore, the amount in the according after 4 years is about $6365.024.