The rate at which the height of the water in this cylindrical tank is increasing is 26.18 m/mn.
<h3>How to calculate the volume of a cylinder?</h3>
Mathematically, the volume of a cylindrical tank can be calculated by using this formula:
V = πr²h
Where:
Differentiating with respect to h, we have:
dV/dt = πr²(dh/dt)
3 = 3.142 × 5² × dh/dt
3 = 78.55dh/dt
dh/dt = 78.55/3
dh/dt = 26.18 m/mn.
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In Country A, the opportunity cost of one paper clip is 1/2. Option C
<h3>What is opportunity cost?</h3>
The opportunity cost refers to the alternative forgone in production. It means that it is the option that is chosen in the midst of other possibilities.
We can see from the table that in Country A, the opportunity cost of one paper clip is 1/2.
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Missing parts
If countries A and B produce only either rubber bands or paper clips, their maximum outputs are shown in the accompanying production possibilities schedules.
In country A the opportunity cost of 1 paper clip is
A.2 rubber bands.
B.1 rubber band
C.1/2 rubber band.
D.1/4 rubber band.
The inverse of the function is 
<h3 /><h3>Domain and Range of functions</h3>
Given the function
To get the inverse, you will follow the same step as shown:
Rewrite the equation to have:
Replace x with y
<h3>Make y the subject of the formula</h3>
Hence the inverse of the function is
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Answer:
Explanation:
About 5 employees have ages that are older than 54 years.
What is a box plot?
A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.
From the diagram, the third quartile is 54 years. Hence 75% of the employees are between 35 to 57 years.
25% are older than 54 years, hence:
Employers older than 54 years = 25% of 23 employees = 5.75
About 5 employees have ages that are older than 54 years.
Answer:
The formula for an average rate of return is derived by dividing the average annual net earnings after taxes or return on the investment by the original investment or the average investment during the life of the project and then expressed in terms of percentage.
