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You earn 50,000 per year and in the 28% fed tax bracket. Each year you contribute 2,500 tax free to an IRA account. The account earns 8% annual interest. In addition, the amount of tax that you save each year by making these pre tax contributions is invested in a taxable aggressive growth mutual fund averaging 15%.
How much will the retirement fund be worth in 30 years?
A plate is bounded by the curves y = -x^2, y = x^2, and x = 1. It has density d(x,y)=x. Make a sketch and find its center of mass.
Let A_0 be contained in A_1 contained in A_2 and so on be a nested sequence of subspaces of X such that the union of all A_n is X and such that An contained in the interior of A_(n+1).
Explain the main differences among integers, rational numbers, real numbers, and irrational numbers. How are these used in everyday life? How would you explain the use of each to someone who did not know about the differences?
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)
How many bit strings of length 6 are there? Explain fully.
Find the volume V obtained by rotating the region bounded by the given curves about the specified axis.
Suppose that X1 and X2 are Gaussian random variables with means µ1 and µ2 respectively. Assume that µ1 ≠ µ2. The variance for each of the two random variables is σ2. Find the value of x for which fx1(x) = fx2(x).
Determine how many tickets should be sold for a flight on an airplane which has 400 seats, such that with probability 0.95 everybody who appears for the departure of theflight will have a seat. what assumption are you making.
What is the WACC for this financing?
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
During the worst periods of hyperinflation in a certain country the price of food increased at a rate of 25% per month. State whether this increase was linear or exponential
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