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Question: a. If seven integers are chosen from between 1 and 12 inclusive, must at least one of them be odd? Why?
b. If ten integers are chosen from between 1 and 20 inclusive, must at least one of them be even? Why?
Naiela received a 125-days promissory note for $20,202 which is matured on 7th august 2014 with a simple interest rate of 5.8% per annum. She later discounted the note 66 days before the maturity date and obtained $20,176.48.
Find the displacement function D(t), given velocity function V(t)=-5t^2-20t+100 and at tine t=1 sec ,D(t) = 50 ft.
Find the minimum and maximum values of Z=6x+5y, if possible, for the following sets of constraints.
An open rectangular box with square ends is to hold 6400 cm^3. It is built at a cost of $ 75/ cm^2 for the base and $25/ cm ^2 for the sides. Find the most economical dimensions.
Suppose at a given moment, Han Solo is travelling at 60 imperial units per minute and is 8 units away from the intersection and Darth Vader is traveling at 30 imperial units per minute and is 6 units away from the intersection. Calculate how fast ..
Determine forecasts value
What model would be expected to describe this data - Test to see if your suggestion appears to be valid and Does the data suggest the firm's method does underestimate the level of pollution?
A. Find two numbers whose sum is 15 and whose product is a maximum. B. Of all numbers whose difference i 18, find the two that have the minimum product.
What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
Verify that y1(t) =(1/(t^3)) and y2(t) = (ln(t))/(t^3) are solutions to (t^2)y''+7ty'+9y = 0, t>0. Do y1, y2 for a fundamental set of solutions? Give a reason for your answer and show all steps and calculations.
Amy paid $102.00 for a pair of New Balance 1122 running shoes during a 15% off sale. What was the regular price?
Moe and Joe flip a slightly unbalanced coin until the one or the other loses all his money. On a single flip Joe wins with probability .49. Joe starts with $8 and Moe start with $4.
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