Solve the inequality. Give the solution set in both interval and graph forms.x - 1 < 3 and x + 3 ? 1

A. (-?, -2] ? (4, ?)

B. (-?, 4)

C. [-2, ?)

D. [-2, 4)


Answer: D

Mathematics

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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 5t + 3, y = 15t + 12, -? ? t ? ?

A. y = 3x - 3

Entire line, from left to right
B. y = 3x + 3

Entire line, from left to right
C. y = 3x + 3

Entire line, from right to left
D. y = 3x - 3

Entire line, from right to left

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Solve the problem.The revenue received from the sale of electric heaters is seasonal, with maximum revenue in the winter. Let the revenue received from the sale of heaters be approximated by R(x) = 380 cos 2?x + 600, where x is time in years, measured from January 1. Find R'(x) for March 1st.

A. -380?
B. 0
C. -380?
D. -380?

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Solve the problem.Find the value of a retirement savings account with a monthly contribution of $50 (contributions made at the end of each month, including the last month), and an APR of 6.0% (compounded monthly) after  years. Round your answer to the nearest cent.

A. $190,081.91 B. $177,135.09 C. $177,777.83 D. $183,482.05 E. $168,912.35

Mathematics

Solve the problem.45% of what number is 71?

A. 1580 B. 100 C. 158 D. 1

Mathematics