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Compute the total present value of a series of 5 future payments of $20,000 each which are to be received 12, 14, 16, 18, and 20 years from now when interest is compounded continuously at rate 10% per year.
Let S and T be subsets of the universal set U. Draw an appropriate Venn diagram and use the given data to determine the number of elements in each basic region.
solve the problem and its dual, and relate the solutions to your sketch for question 1
Linear Combinations, Basis and Transformations, 1. Given a basis B = { u1 = [1, 2], u2 = [2, 1] } for R^2, express u = [7, -2] as a linear combination of u1 and u2. How many ways can you do this?
The sum of 4 consecutive integers is 182. What is the first integer? (Be sure to type only the first integer in the answer blank. Do not use any variables or words.)
Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)
The ellipsoid's equation: x^2 + y^2 - yz + z^2 = 1 is quadratic in z, so can be solved for z explicitly to give the top and bottom halves. Use the quadratic formula to find the these functions.
Of 100 Clock radios with digital turners and /or CD players sold recently in a department store, 70 had digital turners and 90 had CD players. How many radios had both digital turners and CD players?
Find the indicated area under the standard normal curve.
At a certain university the probability that an entering freshmen will graduate within 4 years is 0.65. An incoming freshman class has 1800 students. Find the standard deviation of the number of students who will graduate within 4 years.
If the oil stock yields 12% and the steel stock yields 9%, how much should be allocated for each investment in order to maximize the return? What is the maximum return?
jan had a beaker that contained 104 mL of acid and 783 mL of water. What percent of this total mixture is acid?
They guarantee to give you a 10% raise next month. Discuss this situation. Will your next month's salary stay the same? Explain your answer using an example.
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