Provide an appropriate response.If the y-intercept of the linear function y = b + 5x lies below the x-axis, then what can you say about b?
A. b < 0
B. b > 0
C. b ? 0
D. b = 0
Answer: A
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Determine convergence or divergence of the alternating series.
A. Converges B. Diverges
At what points is the given function continuous?f(x, y) = tan (x + y)
A. All (x, y) ? (0, 0)
B. All (x, y) ?
C. All (x, y)
D. All (x, y) such that x + y ? , where n is an integer
Determine the Shapley-Shubik index of each voter in the weighted voting systemThe ethics committee at Boston College consists of six (A)dministrators, four (F)aculty members, three Student (P)residents from various organizations, and two (C)ommute Students. Assume each of these four groups votes in a bloc. To enact policy changes, a vote of at least 9 is required.
A. A has an index of ; C and P have an index of
, F has an index of
.
B. A has an index of ; F, C, and P have an index of
.
C. A has an index of ; F and P have an index of
, C has an index of
.
D. All have an index of .
Use the simple interest formula.If $38,000 is invested at 10% simple annual interest, how much should be invested at 12% annual simple interest so that the total yearly income from both investments is $5000?
A. $440 B. $10,000 C. $4400 D. $1000