Write the vector v in the form ai + bj, given its magnitude 
and the angle ? it makes with the positive x-axis.
= 8, ? = 270°
A. v = -8j
B. v = -8i + 8j)
C. v = -8i
D. v = -8i - 8j
Answer: A
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Suppose a wire that is 107 feet long is cut into one piece of length x feet and another of length 
feet. The first piece is bent into a square, and the second is bent into a circle. The total area enclosed is given by
square feet.
A: Make a graph of A versus x. In choosing your viewing window, bear in mind that the formula makes sense only when x is between 0 and 107.B: What is the area at the left-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.C: What is the area at the right-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.D: How should the wire be used so that the maximum area is enclosed?
What will be an ideal response?
Solve the problem. Round to the nearest cent.June made an initial deposit of 
in an account for her son. Assuming an interest rate of 
compounded quarterly, how much will the account be worth in 
A. $10,134.16 B. $7225.38 C. $10,235.50 D. $10,199.44
Graph the inequality.(x + 1)2 + (y - 5)2 ? 9
A. 
B. 
C. 
D. 
Solve.
- 
= 3
A. 2, 38 B. -2 C. 2 D. 3, 8