An agency is advertising a vacation package. The cost of the package is $500 for airfare and an additional $100 per day for hotel and car cost. Let C represent the total cost of the package in $ and let N represent the number of days on vacation. Write an equation relating C to N, then graph the equation using the Y axis to repr
4) (demand curve)The demand curve for a certain commodity is p=-.001q+32.5 a) At what price can 31,500 units of the commodity be sold at? b) What quanities are so large that many units of the commodity can't possibly be sold no matter how low the price... The hint they gave was to drop the price, make an inequality and solve f
Sketch the graph of the equation: -3x - y = 2
Pat and Carlos both belong to the same book club. The book club has two prices on its books: a flat fee for regular selections and another flat fee for specially discounted items. Pat orders two regular selections and four specially discounted one for a total of $119.80. Carlos orders three regular selections and five specially
Please provide a step by step solution.
Please see attached file for full problem description.
Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 2x y = log2x Plot the graphs of the following functions. Scan the graphs and post them to the Facilitator along with your response. f(x)=6x f(x)=3x - 2 f(x)=(1/2)x f(x)= log2x
A professor started a project with a group of students, 60% of whom were boys, due to some unavoidable reason, six girls couldn't show up, so the professor had to make some changes in the group. He admitted six boys. In doing so the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in
I need assistance setting up equations for the following: 1. A 40-ounce can of cling peach sells for $2.80. At the same rate, what would a 10-ounce can sell for? 2. Two cars leave a town at the same time and travel in opposite directions. It seems that a family quarrel has erupted and the ladies have sped out of town. G
Minimizing Cost. A company uses the formula C(x)=0.02x^2 - 3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production?
x^2 + x + sqaure root of x^2 +x -2 = 0
Suppose the supply and demand for wheat is given by: Supply: Qs = 1800 + 240P Demand: Qd = 2550 + 10I - 266P, Where P = the price per bushel of wheat and I = income. The current value of I is 100. a. Find the current equilibrium price and quantity of wheat sold in the market place. b. Find the equilibrium price and qu
Problem#1 A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the des
L=x^1/2 y^1/2 + Lambda (4-x-y) 1. Find first order partial derivative with respect to x, y, and Lambda. 2. Find the value of x and y which maximize Lambda. 3. Find Lambda and interpret the results Can you validate using substitution method.
Square root of 3 square root of 3 ______________ - ________________ square root of 6 -1 square root of 6 + 1
Square root of 6 square root of 14 _______________ x square root of 7 square root of 3
9 1/3 (-27x )
(1) Prove that if |G|=1365, then G is not simple. (2) Assume that G is a nonabelian group of order 15. Prove that Z(G)=1. Use the fact that the group generated by "g" is less than or equal to C_G(g) for all "g" in G to show that there is at most one possible class equation for G.
Solve for n: 1000n + 1000 = 2^n.
Solve for n: 1000n + 1000 = 2^n
Side "a" of a rectangle is b+5. Side "b" of the rectangle is b. What is the perimeter and area of the rectangle?
Please develop a hypothetical scenario in a word document illustrating these concepts. Inflation: 1. If your salary today is $55,000 per year, what would you expect your salary to be in 20 years (rounded to the nearest thousand dollars) if you assume that inflation will continue at a constant rate of 6% over that time peri
If x represents one number and y represents the other need to write a system of nonlinear equations to solve the system and find the numbers. The sum of 2 numbers is 10 and their product is 24, find the numbers.
4t^2+9=12t
A car uses 9 gallons of gasoline on a trip of 315 miles. At that rate, how much gasoline will a trip of 595 miles require? Please show work.
Lee rides his bike 50 miles in the same time it takes him to drive 125 miles. If his driving rate is 30 mi/h faster than his rate biking, find each rate. Please show how you arrived at the answer.
Can someone show me how to obtain the quadratic approximation of f(x1,x2) = x1^(3/4) * x2^(1/4) when (x1,x2) is close to (1,1)?
Solve A= lw for I Solve for b A = 1/2bh Solve for b A = 1/2h(B+b) Solve for h V = 1/3 Bh
Please answer the following question and show all of the work involved. Question: Solve for the third root of (x + 2) = 5.
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