Charley spends all of his income on soft drinks and pizza. suppose he is currently buying these products in amounts such that his marginal benefit from an additional soft drink is $ 70 and his marginal benefit from an additional slice of pizza is $ 90.

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

Through non-collinear points there is exactly one plane.

In which direction does the left side of the graph of this function point? f(x) = 3x3 - x2 + 4x - 2