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