Solve the problem.Assume that the profit P made when t units are sold, t > 0, is given by P(t) = t2 - 18t + 72. For what values of t will there be a profit (that is, P > 0)?
A. 6 < t < 12
B. t = 18
C. 0 < t < 6 or t > 12
D. t = 6 or t = 12
Answer: C
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Find the mean of the random variable x associated with the probability density function over the indicated interval.
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Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning?
A. $300,000 B. $360,000 C. $60,000 D. $218,400
Without using a calculator, give the exact trigonometric function value with rational denominator.sin 
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B. 
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D. 
During a fermentation experiment, the population P(t ) (in millions per mL) of bacteria Lactobacilli reuteri after t hours in a barley medium satisfied the differential equation 
Initially,1.5 million bacteria per mL were present.
(a) Determine the number of bacteria per mL after 7 hr. (b) Determine when 9 million bacterial per mL will be present.