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In 2015, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year.

At this rate, what would be the population in 2040?


Round the the nearest whole number.

Respuesta :

MissPhiladelphia
Since 2015, 25 years would have to pass to reach 2040. Using the current population of 2015, the growth rate, and the number of years, the population of 2040 could be calculated as follows:

8914 + 8914*0.0136*25 = 11944.76

Thus, the population in 20140 would increase to 11,945. 
JeanaShupp

Answer: 12495

Step-by-step explanation:

Given: The population of a town in 2015 = 8914

The growth rate of population per year = 1.36%

The exponential growth function is given by:_

[tex]y=A(1+r)^x[/tex], where A is the initial amount and r is the rate of growth of amount in x years.

Consider 2015 as the initial year, then for 2040, x=25   [2040-2015]

A=8914

r=1.36%=0.0136

Now, At this rate,  the population in 2040 will be given by :-

[tex]y=8914(1+0.0136)^{25}\\\\\Rightarrow  y=8914(1.0136)^{25}\\\\\Rightarrow  y=12495.0407445\approx12495[/tex]

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