Question

in a school the strength of students increased from 2400 in 2011 to2646b in 2013 . calculate the rate at which tthe admission have increased in2years​

Answer 1

If the strength of students increases from 2400 in 2011 to 2646 in 2013 then the rate at which the admission have increased in 2 years is 5%.

Step-by-step explanation:

The strength of the students in the school in the year 2011 = 2400  

The strength of the students in the school in the year 2013 = 2646

The time period from 2011 to 2013, n = 2 years

Let the rate at which the admission have increased in 2 years be “R%”.

We know that the formula for the population increase is given as,  

Population in the year 2013 = Population in the year 2011 [1+$\frac{R}{100}$]ⁿ

⇒ 2646 = 2400 [1+$\frac{R}{100}$]²

⇒ 1.1025 = [1+$\frac{R}{100}$]²

Taking square root on both sides  

⇒ √1.05 = 1 + $\frac{R}{100}$

⇒ 0.05 = $\frac{R}{100}$

⇒ R = 0.05* 100

⇒ R = 5%

Thus, the rate at which the admission in the school have increased in 2 years is 5%.

------------------------------------------------------------------------------------------------

Also View:

The sale decreased by 5% due to the increase in selling price by 10% what is the percentage increase in profit.

https://brainly.in/question/8303827

Three year ago the population of the town was 50000 if the annual increase during three successive years was at the rate 4 % 5% and 4% percent per annum respectively. find the present population.

https://brainly.in/question/6093780

A number is first increased by 20% and then decreased by 15%. find the net increase or decrease percent.

https://brainly.in/question/1665716