Question

the annual rate of growth in population of a certain city is 8% if its present population is 196830 what was the population 3 years ago

Answer 1

so the annual rate of growth population of a certain city is 8% and its present population is 196830.
imagine 3 years ago the population was x.
so, According to the question...

$x(1 + \frac{8}{100} )^{3} = 196830 \\ or \: x \times ({ \frac{27}{25} })^{3} = 196830 \\ or \: x = 196830 \times \frac{25}{27} \times \frac{25}{27} \times \frac{25}{27} \\ or \: x = 10 \times 25 \times 25 \times 25 \\ or \: x = 156250$
so three years ago the population was 156250【Answer】
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Answer 2

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