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Question 1:
Proportions are also a valuable tool in business. If the time it takes to do a task is directly related to the cost the business has to charge for that task, any task can be evaluated for the cost. Set up a proportion and solve it to demonstrate this type of business application. (An example might be 5 hours / $20 = 10 hours / x). Remember that setting the cross products (multiplications) equal, and then solving for x is the way to solve a proportion.
Question 2:
Equations are used to demonstrate many different things. In the equation C = 0.17x, C stands for cost and x stands for the number of kilowatt hours of electricity a business might use in a month. Determine the cost of electricity for 1,000, 1,500, and 3,000 kilowatt hours of usage. Also, show how C / .17 = x is can be used to determine how many kilowatt hours have been used if you know cost and rate per kilowatt hour ($0.17). Find an electric bill for your home or apartment and determine the cost per kilowatt hour, or research your power provider for this information. Share your findings with the class.
jane works due north of home. her husband juan works due east. they leave for work at the same time. by the time jane is miles from home, the distance between them is one more mile than juans distance from home. how far from home is juan?
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Fit a second order Newton's interpolating polynomial to estimate log 10 using the data x=8, 9, and 11. Complete the true percentage relative error.
Discuss the Social Security System in the USA , current status and future outlook. Be thorough and focus on the economic considerations. 3 references. 4-5 pages (Apa style double spaced) can you do this ?
the intensity of light from a light bulb, measure in watts (w), varies inversely as the square of the distance (d) from the light bulb. Suppose I is45 w/m(squared) when the distance is 6m.
a team of clothing workers had an output of 1000 uniforms per week. This output was increased by 20%, which demanded and increase of 50 uniforms per worker. How many workers are there? show your work.
Along with giving us a technique to compute antiderivatives, integration by parts is very important theoretically. In this context, it can be thought of as a technique for moving derivatives off of one function and onto another. To see what we mean, ..
Elena's daughter sold 69 boxes of Girl Scout cookies. She was told that this amount represented 20% of the troop's sale. How many boxes did the troop sell?
Assume the probability that a person has the desease is 0.04 for all people, independently of each other, and compute the expected number of tests necessary for each group.
The cost of renting a truck is $230 per week plus a charge of $0.50 per mile driven. Write a linear equation that relates the cost C for a weekly rental in which the truck is driven x miles.
Find the centroid of the region bounded by the given curves. Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.
The length of a rectangle is two inches longer than five times the width. What is the maximum width of the rectangle when the perimeter is no more than 232 inches?
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