SOLUTION: 104. Toxic pollutants. The annual cost in dollars for removing P% of the toxic chemicals from a town’s water supply is given by the formula C(p)= 5000,000/100-p a. Use the ac

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Question 58591: 104. Toxic pollutants.
The annual cost in dollars for removing P% of the toxic chemicals from a town’s water supply is given by the formula
C(p)= 5000,000/100-p
a. Use the accompanying graph to estimate the cost for removing 90% and 95% of the toxic chemicals.
b. Use the formula to determine the cost for removing 99.5% of the toxic chemical
c. What happens to the cost as the percentage of pollutants removes approaches 100%.

Answer by funmath(2933) About Me  (Show Source):
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104. Toxic pollutants.
The annual cost in dollars for removing P% of the toxic chemicals from a town’s water supply is given by the formula
C(p)= 5000,000/(100-p)<---did you mean 5 million or 500 thousand? I'm going with 5 million, if you meant 500,000, then remove a 0.
a. Use the accompanying graph to estimate the cost for removing 90% and 95% of the toxic chemicals.
I don't have your graph, but algebraically, this is how you'd to that:
C%2895%29=5000000%2F%28100-95%29
C%2895%29=5000000%2F5
C%2895%29=1000000 1 million dollars!
If you're looking at the graph, go to x=95 and look up to see what y is there.
:
b. Use the formula to determine the cost for removing 99.5% of the toxic chemical
C%2895.5%29=5000000%2F%28100-99.5%29
C%2895.5%29=5000000%2F.5
C%2895.5%29=10000000 10 million dollars!!
c. What happens to the cost as the percentage of pollutants removes approaches 100%.
Anytime a denominator of a fraction approaches 0 the fraction approaches infinity.
C%28100%29=5000000%2F%28100-100%29
C%28100%29=5000000%2F0 Infinity!!!!!
Happy Calculating!!!