Solve the problem.A 60 room hotel is filled to capacity every night at a rate of $40 per room. The management wants to determine if a rate increase would increase their profit. They are not interested in a rate decrease. Suppose management determines that for each $2 increase in the nightly rate, five fewer rooms will be rented. If each rented room costs $8 a day to service, how much should the management charge per room to maximize profit?
A. $50
B. $45
C. $42
D. The management should leave the rate as it is.
Answer: D
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Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three decimal places.
and 
A. 
B. 
C. 
D. 
Solve the problem.Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.a = 20, v(0) = -18, s(0) = -12
A. s = 10t2 - 18t B. s = -10t2 + 18t - 12 C. s = 10t2 - 18t - 12 D. s = 20t2 - 18t - 12
Provide an appropriate response.Find the error in the following incorrect application of L'Hôpital's Rule. src="https://sciemce.com/media/4/ppg__tttt0611191208__f1q40g7.jpg" style="vertical-align: -17.0px;" />.
What will be an ideal response?
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The argument has a true conclusion. Identify the argument as valid or invalid.
is less than 20.10 is less than 20. 
is less than 10.
A. Valid B. Invalid