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For any integer, k, k^2 + 2k + 3 is even if and only if 4 divides k^2 -2k-7. (Note: You may use a fact, we may not yet have proven in class, namely, if 2 divides n^2 for some integer n, then 4 divides n^2. Simply cite this as, "a fact about squares of integers that are even.")
A student inherits 17500 dollars and puts the money in two different accounts. One account earns 5% annually and one account earns 8% annually. She earned a total of 1075 dollars after one year. How much money is in each account?
Assume you are in the 35 percent tax bracket and purchase a 5.25 percent municipal bond. Use the formula presented in this chapter to calculate the taxable equivalent yield for this invetment
If someone of your gender is randomly selected what is the probability that the selected person would be shorter than you are? What is the minimum height of a person of your gender to join the "Top 15% Tall Club"?
Indicate which equilibria are stable and which are unstable, and check via the slope criterion for stability. Describe in words how the population would behave.
if the sides of a square are lengthenedby 8cm, the area becomes 289cm^2. Find a length of a side of the original square.
The ratio of Sarah's age to Keisha's age is 4:5 this year. Keisha was 12 years old 3 years ago. Find the ratio of Sarah's age to Keisha's age 9 years from now
What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.00 m/s?
equilateral triangle with 4 cm side is decreasing infinitely by 1/2. Determined total the area of the triangles?
1.) Find the length of the curve (called a semi parabola) given by: y^2=x^3 from the pint (1,1) to the point (9,27) 2.) find the length of the Curve y= (x^2) - (1/8)ln(x) from 1≤x≤5
Calculate what Joyce will pay at the end of the first quarter for (a) state unemployment and (b) federal unemployment. Assume a state rate of 5.6%. Federal is .8%. Base is $7,000.
Estimate the diffusivity of carbon tetrachloride at 25oC in a dilute solution of: Methanol, Ethanol, Benzene, and n-Hexane by the method of Wilke-Chang and Hayduk-Minhas.
Suppose that the compact submanifold X in Y intersects another submanifold Z, but dim X + dim Z 0 there exists a deformation Xt = it(X) such that X1 does not intersect Z and |x - i1(x)|
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