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A total of $ 14,000 is invested in two funds paying 4% and 5% annual interest. The combined interest is $620 a) write a system of equations to model this problem b). graph this system and use the graph to estimate how much was invested in each fund?
A sky diver in free fall travels at a speed modeled by ft per second after t seconds. How long will it take for the skydiver to attain the speed of 60 mph (note: 60 mph = 88 ft/sec)?
What is the half-life of the goo in minutes?
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
A ball is thrown vertically upwards from a height of 5 ft with an initial velocity of 50 ftper second. How high will the ball go?
LetR be the region bounded by the graph of f(x)=3x^2+6x and g(x)=18x-5x^2. Determine the area of R
Determine the dean's optimal strategy. The dean of the School of Business at Northern Connecticut State University has been approached by a government agency in Hunan Province, China, to provide MBA training to a group of 30 midlevel officials
Show that for n less than or equal to 4, any Latin square of order n can be obtained from the multiplication table of a group by permuting rows, columns, and symbols.
If the minute hand and the hour hand on the clock both start at 12:00 when will the two hands first coincide? How many times will they coincide in 12 hours?
An arrow shot straight up into the air reached a height of 75m. With what velocity did it leave the bow? How long was the arrow in the air?
While walking along at a constant speed, project a ball vertically into the air. If you continue to walk without changing your speed or direction, where will the ball land? Draw a diagram of the balls flight, indicating the forces acting on it.
Find the function representing the demand p(x) , where x is the number of the television sets sold per week and p(x) is the corresponding price.
Suppose T is a Mobius transformation such that the image of the real axis under T is the real axis. Prove that T may be written in the form T(z) = (az+b)/(cz+d) with a, b, c, and d real.
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