Respuesta :

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.

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