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The Predicted Cost C (In Thousands of Dollars)for a Company C=124p90,000p2,0p<100C = \frac { 124 p } { 90,000 - p ^ { 2 } } , 0 \leq p < 100

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The predicted cost C (in thousands of dollars) for a company to remove p% of a chemical from its waste water is given by the model​ C=124p90,000p2,0p<100C = \frac { 124 p } { 90,000 - p ^ { 2 } } , 0 \leq p < 100 . ​
Write the partial fraction decomposition for the rational function.Verify your result by using the table feature of a graphing utility to create a table comparing the original function with the partial fractions.


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Aristotle

Ancient Greek philosopher and scientist, a student of Plato and teacher of Alexander the Great, known for his writings on physics, metaphysics, poetry, theater, music, logic, rhetoric, linguistics, politics, government, ethics, biology, and zoology.

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