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The maximum of an income of yearly income from a retirement account given the equation of : I( t )= - 0.1t2 + 1.6t where t is time in years reaches that maximum in how many years?
Let θ be the angle that the line through the radar station and the plane makes with the horizontal. How fast is θ changing 12 min after the plane passes over the radar station?
determine whether the following probability experiment represents a binomial experiment and explain the reason for your
a production process requires a fixed cost of $50,000. The variance cost per unit is $25 and the revenue per unit is projected to be $45. Find the break-even point.
Suppose sunshine figures are independent identically distributed continuous random variables. Independent identically distributed continuous random variables
Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 25x + 12 = 0 (mod 11).
Traffic jams slow her down and when she reaches the half way point M she realizes that her average speed so far is 40 m/s. At what average speed will she have to travel from M to B in order to keep her promise?
A man ordered 3 times a many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.37 per box. Felt-tip cost $3.44 per box. Total cost is $82.75. How many boxes of each type of pen did he buy?
Show that the area under the curve is infinite. Show that the volume of the solid of revolution enclosed by the curve is finite, and compute it. [This solid of revolution is known as Gabriel's Horn.]
Rewrite the equation with the right side completely factored.
Why is the shadow price of such a resource constraint always zero when the amount used in the optimal solution is less than the amount available?
The following equations describe the rates of growth of an insect and bird population in a particular region, where x is the insect population in millions.
People with an initial wealth of 10 are offered a chance to play a game in which they win either 2 or 0, each with probability 1/2. If their utility function is given by the convex function u(x) = x2, what is the most they wi..
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