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An actor invests some money at 9%, and $31000 more than four times the amount at 11 %. The total annual interest earned from the investment is $48990. How much did he invest at each amount? Use the six-step method.
Find the dimension of a cylindrical can, open at the top and of fixed surface area K, which maximize the volume. Find the non-negative number x and y such that 2x + y = 30 and xy2 is maximized
Mary works due north of home. her husband Juan works due east. They leave for work at the same time. By the time Mary is 3 miles from home, the distance between them is one mile more than Juan's distance from home. How far from home is Juan?
Let (X, E, u) be a measure space with u a non-negative measure. Suppose that Prove that f (x) = 0 a.e. with respect to u.
Find the constants. Find the center of mass of the solid bounded below by the cone z2 = x2 + y2 and above by the sphere x2 + y2 + z2 = 2az and whose density is kz.
Find the (x, y)-coordinates of the center of mass of the plate. This "balance point" of the plate coincides with the center of mass of a system consisting of three 1-gram point masses located at the vertices of the plate.
There are several methods used by people to organize their lives in terms of keeping track of appointments, meetings, and deadlines. Some of these include using a desk calendar, using informal notes of scrap paper, keeping them ″in your head″, usi..
When graphing a linear inequality. How do you know if the inequality represents the area above or below the line? How do you know if it also represents the points on the line?
Please address the following: How do you determine horizontal asymptotes, if any, given the equation for a rational function?
In addition to the examples listed in Table 14.1, try to think of other instances of artificially scarce goods, common property resources, and public goods. Discuss how these goods are supplied-whether through markets, through government provision..
Working by herself, Penny can paint a billboard in 6 hours. Her new apprentice, Brian, requires 12 h to do the same job. How long would it take both of them working together to paint a billboard?
Find a vector n that is normal to the hyperplane.
Which of the following is true
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