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Ms. Jones installs and demonstrates smoke detectors. There are two types of smoke detectors, Type A and Type B. Type A requires 1 hour to install and 1/3 hour to demonstrate. Type B requires 1.5 hours to install and 1/5 hour to demonstrate. Company rules require Ms. Jones to work a minimum of 20 hours as an installer and a maximum of 15 hours a week as a demonstrator. She earns $8 per hour as an installer and $5 per hour as a demonstrator. How many of each type of alarm should she install and demonstrate to maximize her income?
During the first part of a trip, a canoeist travels 43 miles at a certain speed. The canoeist travels 21 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hours. What was the speed on each part of the t..
Set up an appropriate probability space. Which is larger, (a) the probability of having a full house given that the first 2 cards you've dealt have the same denomination, or (b) the probability of having a full house given that there exist 2 cards
A jeweler has three small solid spheres made of silver, of radius 2 mm, 6 mm, and 6 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
During the first part of a trip, a canoeist travels 92 miles at a certain speed. The canoeist travels 41 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the t..
The amount of credit card debt is $5,270.00 with an average APR of 15.53%. Considering the minimum monthly payment of $120.00 determine the interest.
Mrs. Gardner went to the market. She purchased some lettuce heads and some tomatoes. There were 12 items purchased. She bought twice as many tomatoes as lettuce heads.
Two hundred stones are placed on the ground 3 feet apart, the first being 3 feet from a basket. If the basket and all the stones are in a straight line, how far does a person travel who starts form the basket and brings the stones to it one by one..
If Barry purchases a $2,000.00 Roth IRA when he is 25 years old and expects to earn an average of 6% per year compounded annually over 35 years(Until he is 60), how much will accumulate in the investment?
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will..
Use the mathematical and graphical analyses to determine the equation of the above function if the parabola cross the line y=2x at two points with the x-coordinates 0 and 10. and determine the domain and range of the variables
What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
(a) Find the Riemann sum for f(x) = x - 4 sin 2x, 0 x 3, with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.)
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