Question

A city has a population of 240,000 people. Suppose that each year the population grows by 7.75%. What will the population be after 7 years?

round your answer to the nearest whole number.
people

Answer 1

`\large\boxed{\sf \ \ \ 404,699 \ \ \ }`

Explanation:

Hello,

At the beginning the population is 240,000

After 1 year the population will be

240,000*(1+7.75%)=240,000*1.0775

After n years the population will be

`240,000\cdot1.0775^n`

So after 7 years the population will be

`240,000\cdot1.0775^7=404699.058...`

So rounded to the nearest whole number gives 404,699

Hope this helps