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The price of an item is initially $900. For the first 4 years the price increases by $35 each year. For the next 3 years the price decreases by $25 per year. From then on the price increases by $35 per year. Find a piecewise-defined function P that specifies the price of the item after t years have passed. Let P(t) = the price of the item in dollars after t years have passed.
Kent worked in the housewares section of a department store. This year he set a record high for vacuum sales with 567 vacuums sold. The previous high was last year, when 540 vacuums were sold. What is the percent of increase in sales from last yea..
How many bars and shakes should he consume daily while maximizing his protein intake? What is the maximum daily protein intake?
Find the x, y-intercept of the linear function 2x - 3y = 12. Solve for a: b-3a = a+5
Make the shape of the square.
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
Let g= g1g2 ... gr belong G, where g1,g2, ... gr are disjoint cycles. Prove that o(g) = lcm {o(g1), o(g2), ... o(gr)}. Can you tell me how to start, and step by step guide?
An equilateral triangle and a regular hexagon have equal perimeters. What is the ratio of the area of the triangle to the area of the hexagon?
Sketch both graphs. Find and label the intersection points. Find the area between the graphs using integration. Give the full integral, including limits, in proper notation.
The objective is to minimize the sum of the completion times of all the jobs. Provide an integer programming formulation for this problem.
Determine the amount of agricultural products consumed in the production of $100 million worth of manufactured goods.
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
There are 45 participants in the triathlon. The first three finishers will receive prizes. How many ways can the three prizes be given?
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