Question: please help me with these 7. [0/3 Points] DETAILS PREVIOUS ANSWERS MY NOTES In October 2005, a company employs 9500 people and its total monthly
please help me with these
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7. [0/3 Points] DETAILS PREVIOUS ANSWERS MY NOTES In October 2005, a company employs 9500 people and its total monthly wage bill is 11.4 million dollars. What is the average monthly wage of the company's employees? . Average monthly wage : X dollars. The company is growing at a rate of 12 employees per month. The total monthly wage bill is increasing at a rate of 360 thousand dollars per month. At what rate is the average monthly wage changing at this time? Give your answer correct to the nearest cent per month. Rate of change: X dollars per month. You should be careful over the units in this question. Hint: write the total monthly wage bill as the function f (t) and the number of employees as the function g (t). What is the average monthly wage in terms of the functions f and g? Submit Answer 8. [0/4 Points] DETAILS PREVIOUS ANSWERS MY NOTES The number of thousand mp3 players produced per month by a certain manufacturer t months after the start of the year 2004 can be described by the function f (t) = 0.2tz + 2t + 4 As they sell more players, the company's profit increases both because they are selling more players and because economies of scale mean they can produce each player more cheaply. The manufacturer's total profit (in thousands of dollars) when x thousand mp3 players are made is given by the function g (x) = 0.03x3 + 3x + 30 We assume that the company sells all of the mp3 players that it produces. Calculate the rate at which the sales of mp3 players increases (in thousands of players per month) in terms of t. . Rate of increase : x thousand players per month. Calculate the rate at which the manufacturer's profit increases (in thousands of dollars per thousand mp3 players) in terms of x. . Rate of increase : thousand dollars per thousand mp3 players. Calculate the rate at which the manufacturer's profit increases at time t (in thousands of dollars per month). Leave your answer in terms of t alone (x should not appear in your answer). . Rate of increase thousand dollars per month. symbolic formatting help 9. [-/3 Points] DETAILS MY NOTES An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.4 millimeters per minute. At what rate is the volume of the ice cube decreasing when the lengths of the sides of the cube are equal to 13 millimeters? Give your answer correct to the nearest cubic millimeter per minute. Rate of decrease : millimeters' per minute
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