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The state income tax on your business is $820 plus 0.08 times your profit. You made a profit of $64,860 last year. Find and explain the amount of income tax you paid last year.
Provide an equation with real-number values of a, h, and k, so that your classmates can describe the changes/shifts made to the graph of y = x².
Show that the greedy algorithm for making change for n cents using quarters, dimes, nickels and pennies has O(n) complexity measured in terms of comparisons needed.
Convert from base 10 to base 2.
a laboratory designed a radio telescope with 280 feet and maximum depth of 42 feet. The graph depicts a cross section of this telescope. Fine the equation of the parabola.
Determine the population mean
Determine the volume of the solid of revolution formed when R is revolved about the x-axis. Use the washer method (and no other method) to dertermine the volume of the solid of revolution formed when R is revolved about the line x=7.
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
Given that the second light is yellow, find the probability that the first light was red.
Discuss the convergence and divergence sets of each of those Laurent series. Find two non-zero terms of the Laurent series which represents this f for all z outside some circle |z| = R but diverges inside the circle and find the numerical value of..
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
alan is building a garden shaped like a rectangle with a semicircle attached to one short side. if he has 60 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?
Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues.
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