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A hospital's revenue (in millions of dollars) is projected to be R(x) = 9x2 + 7x + 81 and its costs (in millions of dollars) are projected to beC(x) = -2x2 - 10x - 14 where x represents the number of years into the future.
a. Create the profit function for the hospital.
b. What is the average rate of change in the profit from year 3 to year 5?
Find the derivative of the function and Find an equation of the tangent line to the curve at the given point.
If the average (mean) mid-twenties male weighs 169 pounds and a weight of 148 is in the 31st percentile, what is the standard deviation of the weights in this age group? Round the answer to 2 decimal places.
a security camera is mounted 9 feet above the floor. what angle of depression should be used if the camera is to be
The world's tallest ferris wheel is in osaka, japan, and stands 369 feet tall. its wheel has a diameter of 328 feet. find the circumference of the ferris wheel.
If the water level is rising at a rate of 15000 centimeters per minute when the height of the water is 4500 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
A linear program is defined as follows: Maximize Objective Function (4X1 + 2X2); subject to constraints: X1 ≥ 4; X2 ≤ 2; X1 ≥ 3; X2≥ 0; which of the following statements is true about this linear program?
An account is opened with an initial deposit of $8,500 and earns 3.7% interest compounded semi-annually for 35 years. How much more would the account have been worth if the interest were compounding weekly? (Round your answer to the nearest cent.)
what is the maximum monthly mortgage loan payment for which Shawn can be approved?
Find Joanna's monthly credit card payment. Assume that Joanna makes every payment for the life of the loan. Find her total payments. How much interest does Joanna pay?
Find the equation of the family of circle at the intersection of x2+y2-x+3y-4=0 and x2+y2-8x-4y+10=0 through the member at point (1, -7). Find k, general form, standard form and C(h,k) & r
The following data give the total food expenditures (in dollars) for the past one month for a sample of 20 families.
Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.) Find a 95% confidence interval for p. (Round your answers to two decimal places.)
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