Respuesta :

At a 4.5% annual growth rate, it will take 8.4 years to double the population from 15,000 to 20700.

What is percent?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Here,

The initial population=15000

Growth rate=4.5%

Final population=20700

Population growth=15000*4.5%

=675

Let n be the number of years.

Final population=initial population + Population growth*number of years

20700=(15000+675n)

675n=20700-15000

675n=5700

n=5700/675

n=8.4 years

It will take 8.4 years to grow the population from 15000 to 20700 at the growth rate of 4.5% per year.

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