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QUESTION NO: 1
What is the simplest form of this expression: log2(165/2)
A. 10
B. 32
C. 5/2 + log2(16)
D. log2 (5/2) + log2(16)
Answer: A
QUESTION NO: 2
For each of the following functions, indicate whether its graph is concave or convex:
Y = 7x2 + 3x + 9
Y = 6 ln(3x)
Y = exp(-4x)
A. concave, concave, concave
B. concave, convex, convex
C. convex, concave, concave
D. convex, convex, concave
Answer: C
QUESTION NO: 3
What is the sum of the first 20 terms of this sequence: 3, 5, 9, 17, 33, 65, ?
A. 1 048 574
B. 1 048 595
C. 2 097 170
D. 2 097 172
Answer: C
QUESTION NO: 4
You invest $100 000 for 3 years at a continuously compounded rate of 3%. At the end of 3 years, you redeem the investment. Taxes of 22% are applied at the time of redemption. What is your approximate after-tax profit from the investment, rounded to $10?
A. $9420
B. $7350
C. $7230
D. $7100
Answer: B
QUESTION NO: 5
Identify the type and common element (that is, common ratio or common difference) of the following sequence: 6, 12, 24
A. arithmetic sequence, common difference 2
B. arithmetic sequence, common ratio 2
C. geometric sequence, common ratio 2
D. geometric sequence, common ratio 3
Answer: C
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Updated: May 26, 2022