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brilliants [131]
3 years ago
14

The population of a town 4 years ago was 50,000

Mathematics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

population will be 79806.

Step-by-step explanation:

Population of a town 4 years ago  was 50,000

Population of town had grown exponentially and present population is 63,124.

So the formula of the population growth will be

A_{n}=A_{o}(r)^{n-1}

Where A_{n} = Final population n = number of years.

           A_{o} = Initial population

           r = rate of increase in population per year.

so  63124 = 50,000 (r)^{4-1}

r^{3}=\frac{63124}{50000}= 1.26428

r=(1.26428)^{\frac{1}{3} }

= 1.0813

Now we have to find the population after 4 years from now.

A_{n} =  63124(1.08)^{4-1}

       =  63124(1.08)^{3}

       = 63124 × 1.264

       = 79806

Therefore, after 4 years from now population will be 79806.

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