Sorry its sideways, but I hope this helped!
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref
inery to storage tanks located on the south bank of the river 10 km east of the refinery. The cost of laying pipe is$200,000/km over land to a point P on the north bank and $400,000/km under the river to the tanks. To minimize the cost of the pipeline, how far from the refinery should P be located? (Round your answer to two decimal places.)
1 answer:
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Answer:
And we can round this to the nearest up integer and we got 110194.
Step-by-step explanation:
The natural growth and decay model is given by:
(1)
Where P represent the population and t the time in years since 1970.
If we integrate both sides from equation (1) we got:
And if we apply exponentials on both sides we got:
And we can assume
And we have this model:
And for this case we want to find
By 1990 we have t=20 years since 1970 and we have this equation:
And we can solve for like this:
(1)
By 2019 we have 49 years since 1970 the equation is given by:
(2)
And replacing from equation (1) we got:
We can divide both sides by 143000 we got:
And if we apply ln on both sides we got:
And then k =-0.01303024661[/tex]
And replacing into equation (1) we got:
And we can round this to the nearest up integer and we got 110194.
Answer:
Step-by-step explanation:
Given
diameter of the cone is
The height of the cone is
The volume of a cone is
Insert the values
Thus, the volume of the cone is