Solve the problem.Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe work together for
and Bill works alone for 2 hours; or if Mike and Joe work together for 2 hours and Bill works alone for 5 hours; or if Mike works alone for 6 hours, Joe works alone for 2 hours, and Bill works alone for
How much time does it take for each man working alone to complete the painting?
A. Mike: 16 hr; Joe: 8 hr; Bill: 8 hr
B. Mike: 12 hr; Joe: 10 hr; Bill: 10 hr
C. Mike: 8 hr; Joe: 16 hr; Bill: 8 hr
D. Mike: 8 hr; Joe: 8 hr; Bill: 16 hr
Answer: C
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Solve the problem.After a new firm starts in business, it finds that its rate of profits (in hundreds of dollars per year) after t years of operation is given by Find the profit in year 3 of the operation.
A. $3,600 B. $6,000 C. $5,400 D. $4,800
Factor completely.x2 - 18xy + 81y2
A. (x - 9y)(x + 9y) B. (x + 9y)2 C. (x - 9y)2 D. Prime
Property tax is based on the assessed value of a property. A house that has an assessed value of $200,000 has a property tax of $4,820. Find a mathematical model that gives the amount of property tax y in terms of the assessed value x of the property. Use the model to find the property tax on a house that has an assessed value of $230,000. (Round your answer to four decimal places.) ?
A.
B.
C.
D.
E.
Provide an appropriate response.If P(A ? B) = 0.2, P(A) = 0.7, P(B) = 0.6, can A and B be independent events? How can you tell?
What will be an ideal response?