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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?

 Apr 14, 2023
 #1
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The population will be 27685.

 Apr 14, 2023
 #2
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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 1.0514  which works out to 27,719

 Apr 14, 2023

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