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Question: Capital value suppose that a continuous income stream has an annual rate of flow at time t given by f(t) = A, where A is a constant. If the interest rate is r (as a decimal, r > 0), compounded continuously, show that the capital value of the stream is A/r.
Find the interval of convergence of the series. For what values of x does the series converge conditionally
Dan works on commission and earns 4% on all of his sales. In month 1, he sold $25,000; month 2 was $17,000; and month 3 was $34,000. 18% of his total earnings are taken out for taxes. Calculate the total net (after taxes) pay Dan earned over th..
A horizontal disk of radius a centered at the origin in the xy-plane is rotating about a vertical axis through the center.
The revenue (in dollars) for selling x lawn mows is R(x). What are the units for the derivative R'(x)? What are the units for the average rate of change in revenue?
What is the probability that an employee who has received a raise will eventually quit?
ames bought 5 apples and 10 oranges for $4. Donald bought 3 apples and 9 oranges for $3. The shop keeper strictly told that there will not be any discounts. What is the cost of an apple and an orange?
Information technology (IT) solutions are often dependent upon the application of the discrete mathematics, probability, and statistical methods that you have.
Can Max be held liable for the unpaid debt of Shifty Seller Pty Ltd? Explain and discuss fully with reference to common law legal principles only and
One cubic foot holds 7.48 gallons of? water, and one gallon of water weighs 8.33 pounds. How much does 1.8 cubic feet of water weigh in? pounds?
Suppose $2,400 is invested in an account at an annual interest rate of 6.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size?
The mean PCB concentration for fish the lake exceeds 5 ppb
A stone is thrown straight up from the roof of an 80-ft building. The height (in feet) of the stone at any time t (in seconds), measured from the ground.
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