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Please show each step in solving the problems below:
A.) A manufacturer wants to design an open box having a square base and a surface area of 200 square inches. What dimensions will produce a box with maximum volume?
B.) A rectangular page is to contain 25 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.
Zoe purchased a house in 1999 for $192,000. In 2006 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 7-yr period. (Round your answer to the nearest hundredth of a percentage p..
the u.s. census bureau publishes data on factory orders for all manufacturing durable goods and nondurable goods
Find the maximum or minimum value of the function and then state the domain and range of the function y=8-3x-4x2.
If x = cosh t and y = sinh t, explain why the point (x, y) always lies on the curve x2 - y2 = 1. (This curve is called a hyperbola and gave this family.
Boiled ham contains 2 units of carbohydrates and 2 units of protein per pound, and costs $3.50/lb. Cheese contains 3 units of carbohydrates and 1 unit of protein per poundand costs$4.60/lb. How many pounds of each are needed to minimize costs and..
How much does the carnival gain on each play? (If the carnival loses money, enter a negative dollar amount)
Is there a value of such that R1 and R2 sweep out the same volume when rotated about the -axis?
Suppose that you are dealt a hand of 9 cards from a standard deck of 52 playing cards. What is the probability that you are dealt exactly 3 kings? What is the probability that you are dealt 9 cards of the same suit?
1. William borrows $6491 from the bank at an annual simple interest rate of 5.3%. After 4 years, he repays his debt. How much does he repay?
Determine whether the following disputes are verbal, factual, or some combination of the two. If verbal, discuss whether the dispute arises from vagueness or ambiguity.
imagine you are a manager at a major bottling company. customers have begun to complain that the bottles of the brand
What is your interpretation of the phrase "act local, think global"?
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