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Paul Nagel invested some money at 3.5% simple interest and $1000 more than that amount at 5% simple interest. After 1 year, his total interest from the two accounts was $560. How much did he invest at each rate?
A rancher has 400 feet of fencing and wants to build a corral that's divided into three equal rectangles. What length and width will maximize the area?
What is the probability that each result has four heads in each flip - How many positive integers not exceeding 8154 are divisible by neither 9 nor 12?
Determine the break-even volume of work for a company with a fixed overhead of $63,000, a contribution margin ratio of 11.0%, and a required level of profit of $60,000.
1. Describe SWOT analysis as a way to guide internal analysis. How does this approach reflect the basic strategic management process? What are potential weaknesses and limitations of SWOT analysis?
A sinusoidal signal, 20 sin(ωt + π/2 ), passing through an LTI system, undergoes a gain of 2 and a 90-degree phase lag. The resulting output signal will be mathematically described as
This problem is basically from Mathematics and it is about finding the log for the given number.
In how many different ways can a work party of 4 be chosen from 9 volunteers?
What is the present value of the cash flows? (Do not round intermediate calculations and round your final answer to 2 decimal places.
Let's define the standard unit vectors u = [1,0] and v = [0,1]. Show that the signed area A(u,v) = +1, and that A(v,u) = -1.
As the programmers design video games, they often work with mathematical functions that deal with the movements of people, trajectories of objects, and other actions.
A water trough is 10m long and a cross-section has the shape of an isosceles trapezoid that is 30cm wide at the bottom, 80 cm wide at the top and has height of 50 cm. if the trough is being filled with water at the rate of 0.2 m^3/min, how fast is..
Can the performer be fired to the cushion without hitting the ceding? Will the clown land on the cushion? If not, will he land short or long of the mark? What angle should be used to have the clown land directly on the cushion?
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