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Question: Suppose a continuous income stream has an annual rate of flow f(t) = 85e-0.01t, in thousands of dollars per year, and the current interest rate is 7% compounded continuously.
(a) Find the total income over the next 12 years.
(b) Find the present value over the next 12 years.
(c) Find the capital value of the stream.
A 65 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 30 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the..
two people ella and jane decide to start saving for retirement. ella decides to invest 4000 a year into an annuity at
Calculate the degree 3 MacLaurin Polynomial, P3(x), for coshx, evaluate P(1) and use the remainder term to estimate the error in using P(1) to estimate cosh(1) (to put an upper bound on the error you should use the fact that 2
In a survey of 1000 eligible voters selected at random, it was found that 200 had a college degree. Additionally, it was found that 70% of those who had a college degree voted in the last presidential election, whereas 59% of the people who did not h..
If each Kit A order earns a profit of $45 and each Kit B order earns a profit of $50, how many of each should be created to maximize the profit?
Profits during the third quarter for a particular department store were $1,500,000. The pie chart below gives the results. Of the profits earned, how much were from jewelry sales?
Determine whether the following disputes are verbal, factual, or some combination of the two. If verbal, discuss whether the dispute arises from vagueness or ambiguity.
an and cm are mediansa. if the area of triangle abc is 48 units2 what are the areas of triangles amc and cna?
How many functions are there from a k-element set K to a set N = {y1, y2, . . . yn} so that each yi is the image of ji elements of K?)
The density function for the number of times the riders scream on a roller coster is given. Find the mean number of screams over the course of the ride.
The difference in hours between full-timers and the parttimers who work 5 hours a day is 4 hours.
The demand and cost functions for a product are p(x) = 130 - 0.01x and C(x) = 30x + 1100, If the manufacturer decides to increase production by 70 units per week, find the rate at which profit is changing with respect to time when the weekly produc..
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