Mathematics, 18.06.2021 09:30 DissTrack
According to a survey, the population of a city doubled in 12 years.
The annual rate of increase of the population of this city is approximately . The population will grow to three times its current size in approximately .
First box of answers: 2.50, 5.78, 12.0, 50.0
Second box of answers: 18, 19, 23, 24.
Answers: 2
![2x = x(1 + \frac{r}{100})^{12}\\\\\frac{2x}{x} =(1 + \frac{r}{100})^{12}\\\\2 = (1 + \frac{r}{100})^{12}\\\\ \sqrt[12]{2} = (1 + \frac{r}{100})\\\\\sqrt[12]{2} - 1 = \frac{r}{100}\\\\2^{0.08} - 1 = \frac{r}{100}\\\\1.057 - 1 = \frac{r}{100}\\\\0.057 \times 100 = r\\\\r = 5.7 \%](/tpl/images/1378/5874/5921a.png)
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According to a survey, the population of a city doubled in 12 years.
The annual rate of increase of...
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