A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?

Guest Apr 14, 2023

#2**0 **

*A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number*?

14,000 x 1**.**05 end of 1st year

14,000 x 1**.**05 x 1**.**05 end of 2nd year

14,000 x 1**.**05 x 1**.**05 x 1**.**05 end of 3rd year

14,000 x 1**.**05 x 1**.**05 x 1**.**05 x 1**.**05 end of 4th year

and so on. You keep multiplying the previous amount by 1**.**05 until

you've got to the end of the 14th year. This can be expressed as

14,000 x 1**.**05^{14} which works out to **27,719**.

Guest Apr 14, 2023