Solve the problem.If Emery has $1300 to invest at 11% per year compounded monthly, how long will it be before he has $1800? If the compounding is continuous, how long will it be? (Round your answers to three decimal places.)
A. 0.042 yrs, 0.296 yrs
B. 2.972 yrs, 2.958 yrs
C. 0.26 yrs, 0.247 yrs
D. 55.543 yrs, 3.14 yrs
Answer: B
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A.
B.
C.
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Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation. 4x - y + 6z = 46 8x - 7z = 28 7y + z = 46
A. (-7, 6, 14) B. (7, 6, 4) C. (7, 4, 6) D. No solution
We have encoded a message by assigning the numbers 1 - 26 to the letters a - z of the alphabet, respectively, and assigning 27 to a blank space. We have further encoded it by using an encoding matrix. Decode this message by finding the inverse of the encoding matrix and multiplying it times the coded message.The encoding matrix is A = and the encoded message is 45, -55, 9, -3, -33, 50, -39, 61, -13, 24.
Fill in the blank(s) with the appropriate word(s).
Write the first four terms of the sequence.an = (-1)n-1(6n - 4)
A. a1 = -2, a2 = 8, a3 = -14, a4 = -20 B. a1 = 2, a2 = -8, a3 = 14, a4 = -20 C. a1 = 2, a2 = -16, a3 = 14, a4 = -20 D. a1 = 2, a2 = 8, a3 = 14, a4 = 20