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A.) A stone and sand quarry owner has determined that the profit P of the quarry is approximately given by P(x) = -2x2 + 153x
A.) A stone and sand quarry owner has determined that the profit P of the quarry is approximately given by P(x) = -2x2 + 153x + 783, where x is the sand and stone sales. Find the maximum profit to the nearest dollar. B.) Write the equation of the line in the form Ax + By = C (where A, B, and C are whole numbers), with a slope of m = 4/13 containing the point (-3, 7). C.) The concentration of alcohol in a person's blood can be measured. Given that the risk R (expressed as a percent) of having an accident while driving a vehicle can be modeled by the equation: R= 6e^rx where x is the variable concentration of alcohol in the blood and r is a constant rate. (10 points total, 5 points for each of the two parts) a) Suppose that a concentration of alcohol in the blood of 0.08 (=0.08) results in a 18% risk (R = 18) of an accident. Find the constant rate r in the equation. (Round to 4 decimals) D.) The concentration of alcohol in a person's blood can be measured. Given that the risk R (expressed as a percent) of having an accident while driving a vehicle can be modeled by the equation: R =6e* where x is the variable concentration of alcohol in the blood and r is a constant rate. b) Using this value of r, what is the risk if the concentration of alcohol is 0.14? (Round to 4 decimals)
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