Question

am leaving from brainly app who are in genius rank please answer this my last question please only genius rank will answer​

Answer 1

Answer:

• Amount = 256
• Compound interest = 369

Explanation:

Given,

• principal = 256
• rate = 100%
• time = 1 year.

We need to calculate the compound interest and the amount which is compounded quarterly.

Since, it is compounded quarterly the principal is compounded over 3 months a year. Then, the rate becomes ¼ of 100 i.e., 25% and the time becomes 4 times i.e., 4 years.

Calculating the amount by,

$\rm \: Amount = p \bigg( 1 + \dfrac{r}{100} \bigg)^{n}$

Where,

• p(principal) = 256
• r(rate) = 25%
• n(time) = 4 years

So,

$= 256 \bigg(1 + \dfrac{25}{100} \bigg)^{4}$

$= 256\bigg(1 + \dfrac{1}{4} \bigg)^{4}$

$= 256 \bigg(\dfrac{5}{4} \bigg)^{4}$

$= 256 \times \dfrac{625}{256}$

$= 625$

So ,the amount is ₹625

Compound interest is :-

= Amount - principal

= 625 - 256

= 369

_____________________

Compounded quarterly :

Quarterly is an interval over 3 months. So whenever, an amount is compounded quarterly, the time is multiplied by 4 and the rate is divided by 4.

Formula used :

• Compound interest = Amount - principal

Amout formula :

• $\rm \: Amount = p \bigg( 1 + \dfrac{r}{100} \bigg)^{n}$