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A case of vintage wine appreciates in value each year, but there is also an annual storage charge. The value of a typical case of investment-grade wine after t years is V(t) = 2000 + 40 t - 10t dollars (for 0 A≤ t ≤ 25). Find the storage time that will maximize the value of the wine.
Create an example of a real-life word problem, which can be solved using algebraic inequalities. Write the problem, and then solve the problem.
Vectors as linear combinations of the vectors
a certain radioactive isotope has a half life of approximately 1050 years. How many years will required for a given of the isotope to decay to 75% of that amount?
Which of the four operations on functions do you think is the easiest to perform? What is the most difficult? Explain why by showing examples for each function.
What questionable assumptions are being made by the EOQ model?
The following formula accurately models the relationship between the size of a certain type of a tumor and the amount of time that it has been growing: V(t)=400(1-e^ -.0024t)^3, where t is in months and V(t) is measured in cubic cintimeters. Calcu..
What is that total purchase cost for the component?
how long does it take to commute from home to work? it depends on several factors including route traffic and time of
Compare the effectiveness of the above two numerical methods as the step size is decreased. You should consider accuracy, speed and storage space (for example the matrix of the linear system must be stored for the first case).
(a) If a sample has a mass of 200 mg find a formula for the mass that remains after t days. (b) Find the mass after 100 days. (c) When will the mass be reduced to 10 mg?
Write a linear model which expresses number of people who purchase tickets (N) as a function of the price of a ticket (P). What is the physical meaning of the slope in this linear relationship?
evaluate approximately the ratio of the mass of the sun to that of the earth. lunar month 27.3 days, mean radii of the earth's orbit 149000000 km and that of moon's orbit 380000 km.
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