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Application of algebra to find the weekly revenue
If a manufacturer charges q dollars each for footballs, then he can sell 3000 - 150q footballs per week. Find a polynomial R(q) that represents the revenue for one week. Find the weekly revenue if the price is $8 for each football.
If the material for the base costs $0.30 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.20 per square foot, determine the dimensions of the box that can be constructed at minimum cost..
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?
There are two lines through the point (2,-3) that are tangent to y=x²+x. Find the x-coordinates of the points where these lines touch the parabola.
A rectangular field has an area of exactly 1 square mile. if the field has a length of 250 yards and 3 inches, what is the width of the field? Give your answer in feet and inches, and round to the nearest inch. What is the perimeter of this field?
The y-intercept of the red line above is 14. If the area of the triangle formed by the red line with the x-axis and y-axis is 294, find the slope of the red line.
Teesha is in the French club. There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France. What is the probability that Teesha will not be picked as a guide?
Transform the following linear programming model into proper form for solution by the simplex method (including the artificial variable) and generate the initial simplex tableau. Determine the entering variable and leaving variable.
Find the directional derivative of the function at the given point in the direction of the vector v.
Justify the conclusion by describing the relevant information from the output.
Evaluate the function for th specified value of the independent variable and simplify: g(t)=t(square root)-2t: (a) t(2), (b) g(t+2)
The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side costs 13 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
after 3 months the simple interest earned annually on an investment of $7000 was $222. find the interest rate to the nearest tenth of a percent.
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