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irga5000 [103]
3 years ago
5

|-2x + 4| > or equal to 4

Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0

\text{When you solve for absolute value, there could be two possible outcomes}\\\\\text{In this question, the outcomes could be:}\\\\-2x+4\geq4\\\text{or}\\\\-2x+4\geq-4\\\\\text{Solve:}\\\\\text{Possibility 1:}\\\\-2x+4\geq4\\\\\text{Subtract 4 from both sides}\\\\-2x\geq0\\\\\boxed{x\leq0}\\\\\text{Possibility 2:}\\\\-2x+4\geq-4\\\\-2x\geq-8\\\\\boxed{x\geq4}

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Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
2 years ago
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2 years ago
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3 years ago
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