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An investment of $53,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $4050. The interest from the first investment was 4 times the interest from the second. Find the amount of the three parts of the investment.
Random Variables and Probability -Sampling Without Replacement, Not all the selected light bulbs are defective.
Suppose that for X = net amount won or lost in a lottery game, the expected value is E(X) = -$0.50. What is the correct interpretation of this value?
Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An. Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for al..
Flying against the jetstream, a jet travels 4550km in 7 hours. Flying with the jetstream, the same jet travels 5340km in 6 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
Find the line integral of f(x,y,z)=x+y+z over the straight-line segment from (2,1,4) to (1,-2,2). The answer is 4(sqrt(14)). Can you show the work.
Without graphing, can you use the slope to determine whether there is a solution for a system of two linear equations in two unknowns? How?
Assume 450,000 people line up on the streets to see the Macy's Thanksgiving Parade in 2010. If attendance is expected to increase 30%, what will be the number of people lined up on the street to see the 2011 parade?
Write an equation and solve: The cellular phone service for a business executive is $30 per month plus $.50 per minute of phone use. In a month when the executive's phone bill was $67.50, how many minutes did the executive use the phone?
The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll.
Determine the equation of the straight line and Write a linear equation that describes the book value of the machine each year
Find the derivative of y with respect to x. y = sec ^ -1 (x^2 + 1), x > 0
A right triangle with legs of 5 and 12 is rotated about it's hypotenuse to form a solid which is pointed at two ends. What is the volume of that solid?
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