Solve the problem.Zina is paid $30 per hour for a 40-hour workweek, but is paid time and a half for overtime work. Give expressions for Zina's pay if she works t hours. Distinguish between the cases where t is less than and greater than 40.
A. For t ? 40, Zina's pay is $30t. For t > 40, Zina's pay is $1200 + ($45)t
B. For t ? 40, Zina's pay is $30t. For t > 40, Zina's pay is $45t
C. For t ? 40, Zina's pay is $30t. For t > 40, Zina's pay is $1200 + (t - 40)($45)
D. For t ? 40, Zina's pay is $30t. For t > 40, Zina's pay is $1200 + (t - 40)($60)
Answer: C
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Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.y'(t) = -3y, y(0) = 1; ?t = 0.2, T = 1; y(t) = e-3t
A. y(1) ? 0.01024; 0.20000 B. y(1) ? 0.01024; 0.04979 C. y(1) ? 0.02560; 0.02419 D. y(1) ? 0.01024; 0.03955
Multiply and simplify. Leave your answer in exponential notation.x2 ? x0
A. 0 B. 2x2 C. x2 D. x0
Factor by grouping.3xy + 6x + 7y + 14
A. (3x + y)(7y + 2) B. (3x + 7y)(y + 2) C. (3x + 7)(y + 2) D. (3x + 2)(y + 7)
First, use front end rounding to estimate each answer. Then find the exact answer.A truck weights 9110 pounds when empty and 21,329 pounds when loaded. What is the weight of the load?
A. estimate: 20,000 - 9000 = 11,000 pounds; exact: 12,219 pounds B. estimate: 20,000 - 9100 = 10,900 pounds; exact: 12,219 pounds C. estimate: 21,000 - 9100 = 11,900 pounds; exact: 12,219 pounds D. estimate: 21,000 - 9000 = 12,000 pounds; exact: 12,219 pounds