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An investor has two investments A and B. The investor believes that investment A is equally likely to increase by $1,000 or to decrease by $1,000 by the end of the year. The investor also believes that investment B is equally likely to increase by $2,000 or decrease by $2,000 by the end of the year. Let X represent the total amount of change in investments A and B. Assume that these investments perform independent of each other. Find the probability of X.
If two angles of a triangle measure 90 degrees and 45 degrees what is the measure of the third angle.
Suppose that f is surjective. Is g ? f surjective?
Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)
Let R be the shaded region in the first quadrant enclosed by the graphs of y=e^(-x^2), y= 1-cos x, y-axis.
A poster of total area 256 in2 is to have a margin of 4 inches at the top and bottom and 1 inch at each side.(a) Find the dimensions of the poster which give the largest printed area.
Construct the circle through the excenters of triangle ABC. How is its center related to the circumcenter and incenter of triangle ABC?
Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
Find the small positive angle from the positive X-axis to the vector OP that corresponds to (3,3). Find the work done by the constant force 4i-2j if the point of application moves along the line segment from P(1,1) to Q(5,7)
The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component3 can be sold, but up to 1000 units of each of the other components can be sold.
a fox weighs twice as much as a chicken. If a 3 foxes and 4 chickens weigh 70 pounds, what does a fox weigh? What does a chicken weigh? How do you solve this?
Economics : Equations, Quantity and Profit, A company manufacturers and sells a product. The estimated demand and cost functions are as below
the function R(d) represents the revenue from boarding dogs for 1 day. if the daily rate per dog is $15.50, write the function that describe the revenue.
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