Question

the population of a city increased 7% annually from 1920 to 1923 and its population in that latter year was 8575301,what was its population in 1920​

Answer 1

If the population in the year 1923 was 8575301, then the population in 1920 was 7000000.

Step-by-step explanation:

Let the population of the city for the year 1920 be “x”.

Rate of increase in population from the year 1920 to 1923 = 7%

Time period, n = 3 years

The population of the city in the year 1923 = 8575301

The formula for population growth is given by,

New Population = Old population [1 + $\frac{R}{100}$]ⁿ  

Substituting the given values in the above formula,

8575301 = x [1 + $\frac{7}{100}$]³

⇒ 8575301 = x [$\frac{107}{100}$]³

⇒ x = $\frac{</strong>8575301 * 100 * 100 * 100<strong>}{</strong>107 * 107 * 107<strong>}$

⇒ x = 7000000

Thus, the population of the city in the year 1920 was 7000000.

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