
Josh F.
asked 05/08/15Solve the following word problem please
The profit earned is based on the number of tickets sold according to the formula
P = ³√9n2
If Ladies night sold 448 tickets and comedy night sold 56 tickets, state the EXACT difference in profit between the two nights.
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1 Expert Answer
Michael J. answered 05/08/15
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Effective High School STEM Tutor & CUNY Math Peer Leader
The difference in profit between the to nights is represented by
p(448) - p(56)
3 √(9(448)2) - 3 √(9(56)2) =
3 √(9) 3 √((64 * 7)2) - 3 √(9) 3 √(56) 3 √(56) =
3√(9) 3√(64) 3√(7) 3√(64) 3√(7) - 3√(9) 3√(8) 3√(7) 3√(8) 3√(7)
The cube-root of 64 is 4.
The cube-root of 8 is 2.
42 * 3√(9) * 3√(49) - 22 * 3√(9) * 3√(49) =
16 3(441) - 4 3√(441) =
12 3√(441)
The difference is 12 3√(441).
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Mark M.
05/08/15