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Question: (a) What is three times the difference between 50 and x?
(b) What is the quotient between x and the sum of y and 100?
(c) If the price of an item is a including 20% VAT (value added tax), what is the price before VAT?
(d) A person buys x1, x2, and x3 units of three goods whose prices per unit are respectively p1, p2, and p3. What is the total expenditure?
(e) A rental car costs F dollars per day in fixed charges and b dollars per kilometre. How much must a customer pay to drive x kilometres in 1 day?
(f) A company has fixed costs of F dollars per year and variable costs of c dollars per unit produced. Find an expression for the total cost per unit (total average cost) incurred by the company if it produces x units in one year.
(g) A person has an annual salary of $L and then receives a raise of p% followed by a further increase of q%. What is the person's new yearly salary?
A special wedge in the shape of a regular pyramid has a square base 16.0 mm on a side. The height of the wedge is 40.0 mm.
Find the area, in square units, of the region determined by the intersections of y = x^1/2 and y = x^2/8.
1 A bookstore has a draw for a $25 book certificate. Each customer draws a ticket from a bowl of 100 tickets. Only one of the tickets is a winning ticket and once the certificate is won, the draw is over. If the tickets are drawn with repl..
Write the vertical motion equation for this problem.
Carefully compute the expected running time for a successful search. Assume that the item you are searching for is randomly chosen from among the items already in the table. (Hint: The unsuccessful search should take roughly twice as long as the s..
What was the original selling price of the refrigerator? Follow the problem-solving process and round your answer to the nearest cent, if necessary.
Using Ethics for Life as your source, Please include intro, conclusion and site all ref's Write a 500- to 750-word essay in which you respond to the following:
Probability of Defective Resistors: DeMoivre-Laplace Theorem, A manufacturer of electronic equipment buys 900 resistors for which the probability of any single resistor being defective is p = 0.01.
It is filled to the top with water. Find the work required to empty the tank by pumping all of the water to the top of the tank.
WAGE RATES The frequency distribution of the hourly wage rates (in dollars) among blue-collar workers in a certain factory is given in the following table.
Try to find an interesting condition involving the degrees of the vertices of a simple graph that guarantees that the graph will have a Hamiltonian cycle. Does your condition apply to graphs that are not simple? (There is more than one reasonable ..
Formulate a linear programming model for this problem.
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