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Jan Ritter hires three types of laborers (A, B, and C) and pays them $8, $6, and $5 per hour, respectively. If the total amount paid is $2800 for a total of 500 hours of work, find the simple algebraic expressions and an appropriate set of constraints for the various possible number of hours put in by the laborers if C must work the largest number of hours
The inflection points and global extrema.
How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?
About how many phone calls do you make per month?
Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on you..
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin. Determine the volume of the solid of revolution formed when R is revolved about the y-axis.
Write a linear-time Boolean function HEAP(T:BINARY_TREE) which returns TRUE is T is a heap, i.e., it is partially ordered. Assume that T is represented using pointers to left and right children.
A rocket accelerates straight up from rest with a constant acceleration of 400 m/s2. How long will it take the rocket to reach an altitude of 16,200 meters?
The bucket is filled with 40 pounds of water and is pulled up at a rate of 2.7 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well.
A principal of $1800 is borrowed over 9 months. The future value is $1910. Determine the loan simple interest rate to the tenth of a percent?
Maria and Thomas are part of a group of 8 women and 8 men who will participate in a chess tournament. The 16 players will be randomly paired up into groups of two.
A poll of 64 students found that 30% were in favor of raising tution to build a new math building. The standard deviation of this poll is 5%. What would be the standard deviation if the sample size were increased from 64 to 190?
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