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A particular company produces widgets. Each widget sells for $9, and the variable cost of producing each unit is 40% of the selling price. If the monthly fixed costs incurred by the company are $50,000, what is the break-even point?
Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.
A certain country taxes the first $16,000 of an individual's income at a rate of 15%, and all income over $16,000 is taxed at 20%. Find a piecewise-defined function T that specifies the total tax on an income of x dollars.
find the probability of finding the electron in a region dx centered at
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
A boat traveled 285.6 miles downstream and back. The trip downstream took 10.2 hours. The trip back took 34 hours. What is the speed of the boat in still water? What is the speed of the current?
Ellie bought a circular etched-glass tabletop to use as her dining room table. The glass is 18 ft in diameter. Find the cost of the tabletop at $ 96 per square yard of glass.
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
There are $560 available to build a fence around a rectangular garden. One side must be reinforced and will cost $10 per foot. The other three sides can be built for $4 per foot. Find the dimensions of the largest possible garden which can be buil..
you buy a new stereo for $1300 and are able to sell it 4 years later for #275. Assume that the resale value for the stereo decays exponentially with time. Write an equation giving the stereo's resale value V (in dollars) as a function of the time ..
A ball is thrown directly downward with an initial velocity of 8 m/s from a height of 30 m.
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
Express the retailer's monthly profit from the sale of the cameras as a function of the selling price. Estimate the optimal selling price.
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