MATH SOLVE

4 months ago

Q:
# The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C=100,000p/100-p. According to the estimate, how much more would it cost to remove 90% of the pollutant from the pond than it would cost to remove 80% of the pollutant? (A) $500,000 (B) $100,000 (C) $50,000 (D) $10,000 (E) $5,000

Accepted Solution

A:

Answer:(A) $500,000Step-by-step explanation:Given formula for finding the cost ( in dollars ) to remove p percent of a certain pollutant,[tex]C=\frac{100000p}{100-P}[/tex]If P = 90,[tex]C=\frac{100000\times 90}{100-90}=\frac{9000000}{10}=900000[/tex]If P = 80,[tex]C=\frac{100000\times 80}{100-80}=\frac{8000000}{20}=400000[/tex]β΅ 900000 - 400000 = 500000,Hence, it will cost $500,000 more to remove 90% of the pollutant from the pond than it would cost to remove 80% of the pollutant,Option '(A)' is correct.