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Anthony invested a sum of money 3 years ago in a savings account that has since paid interest at the rate of 8%/year compounded quarterly. His investment is now worth $30,437.80. How much did he originally invest?
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
Find the volume of a frustum of a pyramid with square base of side 30, square top of side 15 and height 10.
Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
Increasing and decreasing intervals.
Let f be Lebesgue integrable on [0,1]. Prove that the limit, as k goes to infinity, of the integral from 0 to 1 of (x^k)f(x)dx is equal to 0.
Show that if @:R -> S is a ring homomorphism, then the ker(@) is an ideal of R and that @ is injective if.
How large rebate should the company offer to a buyer, in order to maximize its revenue? dollars
What is the probability of randomly selecting a student who is female or prefers Digital Art?
Create a bar graph using two different colors to represent the male and female categories. Use age to categorize and graph the average height.
The Wilcox fam is considering buying a dog. They have established several criteria for the family dog; It must be one of the breeds listed in the table, must not shed, must be less than 16 in tall, and must be good with children.
An arrow is accidentally shot into the air. The formula y = - 14x2 + 56x + 18 models the arrow's height above the ground, y, in feet, x seconds after it was released.
Do the data indicate a significant difference in average off-schedule lime? Use a 5 percent level of significance.
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