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Question: Find a formula for the present value of an infinite stream of payments of the form C, C(1 + g), C(1 + g)2,..., growing at a constant rate g. By the tail-cutting procedure find a formula for the present value of n such payments.
Without computing any integrals, explain why the average value of f(x) = sin x on [0, p] must be between 0.5 and 1.
Allison is saving money to buy a video game system. In the first week, her savings were $8 less than 2/5 the price of the system. In the second week, she saved 50 cents more than 1/2 the price of the system.
A bus leaves town A at 8:30 am for town B. The distance between town A and B is 150 km. Assuming that the bus travels with a constant velocity of 63 km/h, determine the arrival time at Town B.
Show that the variance for n independent trials with two outcomes and probability p of success is given by np(1-p).
the management of xyz corporation is considering relocating the corporate office to a new location outside the capital
Suppose Adam buys one dollar's worth of flour each week and Eve buys one pound of flour each week. If the price of flour is not constant from week to week, which one gets the lowest average cost per pound of flour?
According to its Web site, "SpeedOf.Me is an HTML5 Internet speed test. Evaluate the definite integral of this function over the interval [0,1]. Interpret your result from #4 above. Make sure to include your unit label measurements
write a matrix equation that determines the loop currents. [M] If MATLAB or another matrix program is available, solve the system for the loop currents.
Derive an identity for nCk via inclusion-exclusion by counting the k-multisets of [n] in which each element of [n] appears at most once. use p_i = "element i appears more than once in the multiset" as the i-th property, for 1
Midterm 2 Review Worksheet. Find the equation of the tangent line to the ellipse x2 + 2y2 = 3 at the point (1, 1). Sketch the ellipse and the tangent line
A bag contains two red marbles, four green ones, one lavender one, three yellows, and five orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
The graph of the tilted ellipse x2 - xy + y2=3 is shown to the right. What are the dimensions and the location of the box containing the ellipse?
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