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Question: 1. Enclosinga Garden A gardener has 46 feet of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it. See the figure.
(a) If the length of the garden is to be twice its width, what will be the dimensions of the garden?
(b) What is the area of the garden?
(c) If the length and width of the garden are to be the same, what would be the dimensions of the garden?
(d) What would be the area of the square garden?
2. Computing Business Expense Therese,an outside sales person, uses her car for both business and pleasure. Last year, she traveled 30,000 miles, using 900 gallons of gasoline. Her car gets 40 miles per gallon on the highway and 25 in the city. She can deduct all highway travel, but no city travel, on her taxes. How many miles should Therese be allowed as a busi ness expense?
A parallelogram has the vertices (0, 3), (3, 0), (0, -3) and (-3, 0). Determine what type of parallelogram. Find the perimeter and area.
A manufacturer of small glass figurines discovers that it costs $ 1800 for a production run of 1600 and $ 1900 for a production run of 1800 . Assuming that cost is a linear function of the number of items, find the overhead and the marginal cost o..
Describe at least five specific problem-solving strategies that these students can use to solve mathematics problems. For each strategy, give an example.
The external path length of a binary tree is the sum, taken over all leaf vertices of the tree, of the depth of the vertex. Show that in a full binary tree with n internal vertices, internal path length i and external path length e, we have e = i ..
The marginal revenue for a certain product is given by dR/dx = 25-2x. Find the change in revenue when sales increase from 7 to 10 units.
Using subtraction of signed numbers, find the number of minutes from quarter of an hour to 10 min after the hour.
Assume debt and common equity each represent50% of the firms capitol structure. Compute the weighted average cost of capitol.
Suppose that each country knows both its own cost and the other country's cost. For each of the four possible combinations (c1, c2), find the Pareto efficient outcomes
Latoya is driving to Las Vegas. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.75. See the figure below.Latoya has 57 miles ..
bullfor the factoring problem be sure you show all steps to the factoring and solving. show a check of your solutions
How many days and hours since the Christian era commenced, 1811 years (Zerah usually assumed a 365-day year and a 30-day month)? How many days and hours since the Christian era commenced, 1811 years (Zerah usually assumed a 365-day year and a 30-d..
Find the equation of the circle in general form if the endpoints of a diameter are A(-1, 5) and B(-5, 7).
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