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The Bennetts have unfortunately acquired approximately $5,800 in credit card debt and are trying to figure out how much interest they would save if they were to pay it off in two years instead of paying the minimum payment of $90 each month. Knowing their APR is 18.29% and assuming they would no longer add more debt to the card, what would their payment need to be in order to pay off the balance of the card in two years?
The iteration x_n+1 = 2 - (1-c)x_n + cx_n^3 will converge to alpha = 1 for some values of c provided x0 is chosen sufficiently close to alpha. Find the values of c for which this is true. For what value of c will the convergence be quadratic?
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
The Fine Line Pen Company makes two types of ballpoint pens: a silver model and a gold model. The silver model requires 1 minute in a grinder and 3 minutes.
Create an integral whereby you are forced to use all four types of integration. Work the problem and explain why each (u-substitution, trig substitution, fractions, parts) are all needed.
This paper on "Mammogram Math" by Prof. John Alan Paulos of Temple's Math Dept is the first of several longer term assignments-a "reaction paper" to an article published by Prof. Paulos in the NY Times Magazine, 12/13/09.
A directory on a computer's hard disk contains 12 files, 3 of which have viruses. If a file with a virus is selected, the virus is detected and another file.
give the definition for a cauchy sequence of real numbers, prove that every convergent sequence is a cauchy sequence.
On May 9, 2007, CBS Evening News had a 4.3 point rating. (Ratings measure the number of viewers.) News executives estimated that a 0.1 drop in the ratings.
sketch and describe the following sets and their images under the function z rarr z2.a the set of all points of the
determine the stability of the critical point for both the linearized and nonlinear system using the linearization process (that is, explicitly writed own the linearized system at (1,1) and use the eigen values of the corresponding coefficient mat..
The size, P, of a certain insect population at time t (in days) obeys the equation P = 500e0.02t.
A weather balloon is located on a bearing of N 42 E from the western station and a bearing of N 15 E from the eastern station. How far away is the balloon from the eastern station? From the Western Station?
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