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Question: You are manufacturing a particular item. After t years, the rate at which you earn a profit on the item is(2-0.1t) thousand dollars per year. (A negative profit represents a loss.) Interest is 10%, compounded continuously,
(a) Write a Riemann sum approximating the present value of the total profit earned up to a time M years in the future.
(b) Write an integral representing the present value in part (a). (You need not evaluate this integral.)
(c) For what M is the present value of the stream of profits on this item maximized? What is the present value of the total profit earned up to that time?
uare meters. Initially the tank contains 30 cubic meters. Water leaves the tank, starting at t=0, at the rate of 2 + 4 t cubic meters per hour. Here t is the time in hours. What is the depth of water remaining in the tank after 3 hours?
use the range rule of thumb to find the minimum usual value μ-2σ and the maximum usual value μ+2σ. n=240 p=0.25
If t denotes the time in years after 1980, find a formula for N(t), the population in millions at time t. Assuming that this rapid growth rate continues, estimate the population and the rate of population growth in the year 2000.
Suppose that a 16L container has 8L of water and kool-aid mix with a kool-aid concentration of 0.25kg/L. Further suppose that a sweeter kool-aid mixture with a concentration of 0.5kg/L is pumped into the container at a rate of 4L/min.
A glass box measures 7x12x18 and is closed on all six sides. It is partially filled with colored water. When the box is placed on one of its 7x12 sides, the water level is 15cm above the table. If the box is placed on one of its 7x18 sides, what i..
What is hypothesis testing? What are the differing roles of the null and alternative hypotheses?
Important information about Find the indicated probability, Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability.
Find the formulas for computing the check digits for the international standard book number(ISBN),for both ISBN-10 and ISBN-13.Hence find the check digit for the book with ISBN '0-8176-4227'
If f(x) = ax2 + bx + c, what can you say about the values of a, b, and c if: (1, 1) is on the graph of f(x)?
Make (a) a frequency table and (b) histogram. (c) Make a grouped frequency table using intervals of 50-59, 60-69, 70-79, 80-89, and 90-99. Based on the grouped frequency table, (d) make a histogram and (e) describe the general shape of the distributi..
At an interest rate of 12%, the six-year discount factor is .507. How many dollars is $.507 worth in six years if invested at 12%?
The moon of Qubit is a rectangular solid with sides s, 2s and 3s. What is the minimum distance one needs to walk to get from one vertex of the moon to the vertex opposite it
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