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The dimensions of a rectangle are such that its length is 7 in more than its width. If the length were doubled and if the width were decreased by 3 in, the area would be increased by 114 in^2. what are the length and width of the rectangle?
A multiple choice exam contains 50 questions. Each question has 5 choices, one of which is correct. We are interested in knowing the probability guessing exactly 18 questions correctly.
He plans to pay the loan back in full in 5 months using his income tax refund. He can go to a finance company that will charge him 18% or to his uncle, who has greed to charge him 9%. Find the difference in the interest charges.
A swimming pool is 16 feet wide and has transverse cross-sections which look like: If the pool is being filled at a rate of 1.1 cubic feet per minute, how fast is the water level rising when the depth of water is 2 feet?
Let R be a commutative ring. Recall that an element x in R is nilpotent if x^n=0 for some positive integer n. Prove that the set of nilpotent elements form an ideal.
What is the circumference of the circle when A is a minium?
Vasudevan Inc. forecasts the free cash flows (in millions) shown below. If the weighted average cost of capital is 13% and the free cash flows are expected to continue growing at the same rate after Year 3 as from Year 2 to Year 3, what is the Yea..
Solve the problem on discrete distribution.
Classic Furniture Concepts has determined that when x hundred wooden chairs are built, the average cost per chair is given by C(x) = 0.1x2 0.7x + 1.625, where C(x) is in hundreds of dollars. How many chairs should be built in order to minimize the..
Use integer programming to establish whole numbers for the solution variables.
Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.
If the eggs are removed four, five and six at a time, then three, four, and five eggs will remain respectively. If they are taken out seven at a time, no eggs will be left over. Find the lease number of eggs that could be in the basket.
Use the Newton-Raphson method of finding roots of equations to find the minimum number of computers that need to be sold to make a profit. Conduct three iterations to estimate the root of the above equations.
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