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A small post office has only 4-cent stamps, 6-cent stamps, and 10-cent stamps. Find a recurrence relation for the number of ways to form postage of n cents with these stamps if the order that the stamps are used matters. What are the initial conditions for this recurrence relation?
The maximum score on an exam is 100 points. If it is not possible for Katie to achieve the required score on the exam, type np in the answer blank.
Suppose you estimate the quotient 472 ÷ 58 using 500 ÷ 50 and using 420 ÷ 60. Which estimate should give a high estimate? Which estimate should give a low estimate? Explain the reasoning.
Answer the following: Assume you have a choice between two annuity contracts. Contract A pays $5,000 per year for 5 years starting one year from today. Contract B pays $5,000 per year for 5 years starting today. The discount rate for each is 6%. W..
A landscaper wants to plant begonias along the edges of a triangular plot of land in Winton Woods Park. What is the perimeter of this triangular plot of land
State the quadratic formula. Take your example from last week's completing the square, or pick a new quadratic equation, and solve it using the quadratic formula. Example: x^2-18x-4=0
What values of λ does it become singular?
A car traveling at 60 mph is brought to a stop, at constant deceleration, 88 feet from where the brakes are applied. How lond did it take for the car to stop?
Find the dimension of a cylindrical can, open at the top and of fixed surface area K, which maximize the volume. Find the non-negative number x and y such that 2x + y = 30 and xy2 is maximized
To show that an impairment substantially restricts the major life activity of eating involves a comparison between "the condition, manner or duration under which [the impaired individual] can eat as compared to the condition, manner or duration un..
Find the instantaneous velocity of the rock when t = 1. When does the rock hit the ground? How fast is the rock traveling when it hits the ground?
Imagine that you are teaching someone trigonometry and trigonomic functions. Choose the approach (i.e. the unit, circle, or right angles ) that you would use. Support your answer by listing the pros and cons of each approach.
The curve, C, intersects the surface, S, in two points. Find the coordinates of these points. Find the arclength of the segment of the curve C that lies within the sphere S.
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