Evaluate the derivative of the given function at the given point.y = x3 - 36x - 5; (6, -5)
A. 72
B. -5
C. 6
D. 67
Answer: A
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Solve the problem.A 200 gallon tank is filled with pure water. A salt solution with a concentration of 16 g/gal flows into the tank at a rate of 3 gal/min. The thoroughly mixed solution is drained from the tank at a rate of 3 gal/min.(a) Write an initial value problem for the mass of the salt.(b) Solve the initial value problem.
A. (a) m'(t) = -0.015m + 3200, m(0) = 200 (b) m = 3200e-0.015t + 48 B. (a) m'(t) = 0.015m - 48, m(0) = 16 (b) m = -48e0.015t + 48 C. (a) m'(t) = -0.015m + 48, m(0) = 0 (b) m = -3200e-0.015t + e-0.015 D. (a) m'(t) = -0.015m + 48, m(0) = 0 (b) m = -3200e-0.015t + 3200
Find the tax. Use $3700 for each personal exemption; a standard deduction of $5800 for single people, $11,600 for married people filing jointly, $5800 for married people filing separately, and $8500 for head of a household; and the tax rate schedule. 
Megan Cortez had an adjusted gross income of $51,453 last year. She had deductions of $886 for state income tax, $570 for property tax, $3809 in mortgage interest, and $605 in contributions. Cortez claims one exemption and files as a single person.
A. $7520.75 B. $6595.75 C. $8063.25 D. $8988.25
Graph the fraction on a number line.
A. 
B. 
C. 
D. 
Solve the problem. Round to the nearest tenth, if necessary.A long-distance runner runs 3 miles directly south and then faces due east and runs another 6 miles. How far is the runner, in a straight line, from his starting point? 
A. 4.5 mi B. 3.35 mi C. 6.7 mi D. 22.5 mi