Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is
p = 700 − 0.01x ln(x)
where x denotes the number of yachts and p is the price per yacht in hundreds of dollars.
(a) Find the revenue function R(x) and the marginal revenue function R'(x) for this model of yacht.
R(x) = 700x−0.01x2ln(x)
R'(x) = −0.01x−0.02xln(x)+700
(b) Use the result of part (a) to estimate the revenue to be realized from the sale of the 375th 34 ft Sundancer yacht. (Round your answer to the nearest dollar.)

Match each function with its rate of growth or decay

Cor d? ? me ? max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)