If p is price in dollars and q is quantity, demand for a product is given by q = 8000 e - 0.09 p . find the revenue and the derivative of revenue with respect to price at a price of $ 30 . interpret your answers in economic terms. round your answers to the nearest integer. the revenue at a price of $ 30 is . the derivative of revenue with respect to price at a price of $ 30 is . interpretation of the revenue at price $ 30 : interpretation of the derivative of revenue with respect to price at a price of $ 30 : click if you would like to show work for this question: open show work

What is the common difference for this arithmetic sequence? -6,-2,2,6,10 a.4 b.5 c.3 d.6

What is the sum of the first 8 terms of the geometric series

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?