Find the interest on naira 40000.00 for 2 years at 20% per annum compound interest. Please I need the answer ASAP

Respuesta :

Given:

Principal value = 40000

Rate of compounded interest = 20%

Time = 2 years

To find:

The interest.

Solution:

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 in years.

Putting the given values, we get

[tex]A=40000\left(1+\dfrac{20}{100}\right)^2[/tex]

[tex]A=40000\left(1+\dfrac{1}{5}\right)^2[/tex]

[tex]A=40000\left(\dfrac{6}{5}\right)^2[/tex]

[tex]A=40000\left(\dfrac{36}{25}\right)[/tex]

[tex]A=57600[/tex]

Now, the formula for interest is

[tex]I=A-P[/tex]

[tex]I=57600-40000[/tex]

[tex]I=17600[/tex]

Therefore, the amount of compound interest is 17,600.

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