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1. 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%?2. If the PV of $139 is $125, what is the discount factor?3. If the cost of capital is 9%, what is the PV of $374 paid in year 9?4. A project produces a cash flow of $432 in year 1, $137 in year 2, and $797 in year 3. If the cost of capital is 15%, what is the project's PV? 5. if you invest $100 at an interest rate of 15%, how much will you have at the end of eight years?
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
assume that y1, y2 are solutions of the equation y''+py+qy=0 where p and q are functions of t.
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
Who was Richardson's extrapolation named after? What are some of his significant contributions from his work in mathematics and/or related fields? Be sure to include at least one citation and reference for a scholarly source outside of your textbo..
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
35% of a store's computers come from factory A and the remainder come from factory B.2% of computers from factory A are defective while 1% of computers from factory B are defective.
What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each.
If this problem is too difficult, then perhaps you may solve an easier one, just to give me some direction please. The only example I have is the Riemann function for the telegraph equation
Write a system of 5 equations in standard form to represent this problem. Write the matrix equation in the form AX=B.
An airplane flying into a headwind travels 216 miles in 2 hours and 42 minutes. On the return flight, the distance is traveled in 2 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.
Use the binomial series to expand the function as a power series. Find the radius of convergence :
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