Evaluate the integral.
dx
A.
B.
C.
D.
Answer: B
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Solve the inequality.For the function f(x) = x2 + 10x + 21, solve f(x) > 0.
A. (-3, ?) B. (-?, -7) C. (-7, -3) D. (-?, -7) ? (-3, ?)
At age 25 you start to work and are offered two retirement options.
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Retirement option 1: When you retire, you receive a lump sum of $25,000 for each year of service.
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Retirement option 2: When you start to work, the company will deposit $10,000 into an account that pays a yearly compound interest rate of 13%.
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A: Write a formula that gives your retirement payment , in dollars, if you retire after t years of service under retirement option 1.
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B: Write a formula that gives your retirement payment
, in dollars, if you retire after t years of service under retirement option 2.
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C: Make a graph that shows the retirement payment for each option over the 40 years of service.
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D: How many years of service will result in the same payment from either option? (You will work more than 1 year.) Round your answer to two decimal places if necessary.
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What will be an ideal response?
Solve the problem.Find (fg)(x) given f(x) = 3x + 1 and g(x) = 5x2 - 3.
A. 15x3 - 9x2 + 5x - 3 B. 3x3 + 5x2 - 3 C. 15x3 + 5x2 - 9x - 3 D. 15x3 - 3
Determine the size of the sample space for the experiment described.A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. State the number of elements in the sample space of picking a blue card followed by a green card.
A. n(S) = 5 B. n(S) = 6 C. n(S) = 12 D. n(S) = 7