A community has a population of 25000 which increases by 15% every year. What will be the population of the community after 6 years?

1 Answer
Aug 4, 2016

Answer:

#57826# people

Explanation:

An increase of 15% as a decimal is given by #1.15#.

#x*1.15 = x(1 + 0.15) = x + 0.15x#

So, we have to multiply by 1.15, then multiply the result by 1.15 and so on until we get to 6 years. For example, for 3 years it would be

#((25000*1.15)*1.15)*1.15#

Luckily, we can group the 1.15s together, like so:

#25000*(1.15)^n#

Where #n# is the number of years we are looking at. In this case, #n=6# so final population is given by:

#25000*1.15^6 = 57826.5 = 57826# people