The value of x for the given equation (x + 50)/2 = 13x is 2.
According to the given question.
We have an equation (x + 50)/2 = 13x, which represents when two tutoring services with different rate plans charge the same fees for a session of x hours.
So, we have to solve the given equation (x + 50)/2 = 13x for x.
Therefore,
x + 50 = 2(13x)
⇒ x + 50 = 26x
⇒ 26x - x = 50
⇒ 25x = 50
⇒ x = 50/25
⇒ x = 2
Hence, the value of x for the given equation (x + 50)/2 = 13x is 2.
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In the long run, diseconomies of scale will exist as the inputs are raised by 10 percent and the output by 5 percent.
<h3>What are diseconomies of scale?</h3>
Diseconomy is the disadvantage of the financial and the economical sector of the long-run businesses that arise when the input and the cost of production are increased.
The input and the output are dependent on each other and the cost of production determines the financial gain or loss in a business. So, if the input and the output both are increasing then it will lead to diseconomy.
Therefore, the 10 percent increase in input and 5 percent increase in output leads to diseconomy.
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Select the meaning of this idiomatic expression: J'ai du boulot. I am happy. I am lucky. I am sleeping in. I have a lot of work to do
A n example of Lesson 16.2 modeling exponential growth and decay is find out if y =5(2)ˣ is exponential growth or decay.
<h3>How do you know an exponential growth or decay?</h3>
One can know if a function is an exponential growth or decay when it has a as positive and b is said to be greater than 1 (to be exponential growth).
If a is said to be positive and b is said to be lower than 1 but when it is also greater than 0, we can say that it is an exponential decay.
From the above, y =5(2)ˣ is an exponential growth because the base is said to be greater than 1 and the exponent contain a positive notation.
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