Solve the problem.A woman deposits $129 in the bank, and each month afterward deposits 4% more than the month before. Find an expression for the amount she deposits on the nth month.
A. 129(1.4)n-1
B. 129(1.04) n-1
C. 129(1.04) n
D. 129(1.04) n+1
Answer: B
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Compute the unit binormal vector and torsion of the curve. r(t) = 
A. B(t) = 
, ? = - 
B. B(t) = 
, ? = 
C. B(t) = 
, ? = 
D. B(t) = 
, ? = 
Solve using matrices.A chemist has prepared two acid solutions, one which is 4% acid by volume and the other which is 11% acid. How many cubic centimeters of each should the chemist mix together to obtain 50 cm3 of 
-acid solution?
A. 4%-solution: 3.4 cm3; 11%-solution: 46.6 cm3 B. 4%-solution: 20 cm3; 11%-solution: 20 cm3 C. 4%-solution: 30 cm3; 11%-solution: 20 cm3 D. 4%-solution: 20 cm3; 11%-solution: 30 cm3
Four boys were playing marbles; their names were Gary, Henry, John, and Alice. One of the boys had 9 marbles, another had 15, and each of the other two had 12. Their ages were 3, 10, 17, and 18, but not respectively. Gary shot before Henry and Alice. Alice was older than the boy with 15 marbles. Henry had fewer than 15 marbles. Alice shot before Henry. John shot after Henry. If John was 10 years old, he did not have 15 marbles. Gary and Alice together had an even number of marbles. The youngest boy was not the one with 15 marbles. If Henry had 12 marbles, he wasn't the youngest. The 10-year-old shot after the 17-year-old. How old was each boy? ?
A. John - 3, Henry - 17, Gary - 10, Alice - 18. B. John - 10, Henry - 3, Gary - 17, Alice - 18. C. John - 17, Henry - 18, Gary - 3, Alice - 10. D. John - 3, Henry - 10, Gary - 17, Alice - 18. E. John - 17, Henry - 10, Gary - 3, Alice - 18.
Solve the inequality.x2 - 2x ? 0
A. [-2, 0] B. (-?, -2] or [0, ?) C. (-?, 0] or [2, ?) D. [0, 2]