Solve the equation by first clearing the decimals.0.2(60) + 0.5x = 0.3(60 + x)
A. {40}
B. {20}
C. {30}
D. {15}
Answer: C
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Solve the problem.Given a group of students: G = {Allen, Brenda, Chad, Dorothy, Eric, Frances, Gale}, count the number of different ways of choosing 4 people for a committee. Assume no one can hold more than one office and that each person is to hold a different position on the committee.
A. 2401 B. 5040 C. 840 D. 35
Find the unit tangent vector of the given curve.r(t) = (8t cos t - 8 sin t)j + (8t sin t + 8 cos t)k
A. T(t) = - 
(sin t)j + 
(cos t)k
B. T(t) = (-sin t)j + (cos t)k
C. T(t) = (8 cos t)j - (8 sin t)k
D. T(t) = (-8 sin t)j + (8 cos t)k
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. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000 B. $300,000 C. $270,000 D. $239,400
Solve the problem.Find the measure of an angle if its supplement measures 50° less than 3 times its complement.
A. 166° B. 20° C. 83° D. 10°