Given the price-demand and price-supply equations below, find the consumers' surplus at the equilibrium price level. D(x)=p=6−0.03x S(x)=p=2+0.02x

Using the function g (x) = 2x + 5x + 6, fill in the %3D blank. The instantaneous rate of change of g (x) at x = 3 is

The rate of U.S. per capita sales of bottled water for the period 1993-2003 could be approximated by Q(t) = 0.05r +0.41 +9 where t is the time in years since 1990. Compute the average annual sales of bottled water over the period 1996-2003, to the nearest gallon per year. O a. 15 gallons per year b. 17 gallons per year O c. 16 gallons per year O d. 18 gallons per year е. 19 gallons per year

While the rate at which ethanol can be produced is important, the total quantity of ethanol that can be produced from a given crop is also important. Use the information listed below to calculate the theoretical yield of ethanol from a 1 hectare plot of corn and a 1 hectare plot of sugarcane in the U.S. (1 hectare = 2 football fields). Show your calculations. Corn Yield: 138 bushels of seed per hectare 1 bushel seed = 2.8 gallons ethanol Sugarcane Yield: 89 tons sugarcane per hectare 1 ton sugarcane = 19.5 gallons ethanol