Question

An international organisation has 32 members. Every year the number of members increases by 50%. How many members will it have three years from now? *

Answer 1

It will have 108 members three years from now.

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

Let's understand a few concepts:

If the current population is growing at a constant rate of R% p.a. then we can use the following formula to find the population after n years:

$\boxed{\bold{Popution \:after\:n\:years = P [1 + \frac{R}{100} ] ^n}}$

where P = current population, R = rate of increase of the population, n = time in years

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

Let's solve the given problem:

The current population of an international org. = 32 members

The rate of increase every year in the no. of members = 50%

The no. of years = 3 years

Therefore,

The population of the organisation after 3 years will be,

= $32 \times [1 + \frac{50}{100} ] ^3}}$

= $32\times [ \frac{100\: + \:50}{100} ] ^3}}$

= $32\times [ \frac{150}{100} ] ^3}}$

= $32\times [ \frac{3}{2} ] ^3$

= $32\times \frac{3^3}{8}$

= $4 \times 3^3$

= $\bold{108}$

Thus, 3 years from now, the organisation will have 108 members.

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

Learn more about population growth from here:

brainly.in/question/70757

brainly.in/question/30358616