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 years.

2.50%; 5.78%; 12%; 50%

18 years; 19 years; 23 years; 24 years

5.78%

19 years

Step-by-step explanation:

The Exponential Growth Model for  a population has the next formula:

where P(t) is the population after t years, is the initial population, i. e., when t = 0, and k is the annual rate of increase of the population.

From data we know that the original population is doubled after 12 years. Replacing in the formula we get:

or 5.78 %

If the population grows to three times its current size, then:

yes. we do proportions in probabilities.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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