Find all cube roots of the complex number. Leave answers in trigonometric form.-6 - 6i

A.  cis 70°,  cis 190°,  cis 310°
B.  cis 70°,  cis 190°,  cis 310°
C.  cis 70°,  cis 190°,  cis 310°
D.  cis 80°,  cis 200°,  cis 320°


Answer: C

Mathematics

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Translate the problem to a system of equations, then solve using matrices.A $114,000 trust is to be invested in bonds paying 6%, CDs paying 5%, and mortgages paying 9%. The sum of the bond and CD investment must equal the mortgage investment. To earn an $8360 annual income from the investments, how much should the bank invest in bonds?

A. $57,000 B. $19,000 C. $36,000 D. $38,000

Mathematics

Solve the problem.A woman can sell her computer graphics company for $900,000 cash or for $100,000 plus $65,000 at the end of each year for 4 years. (a) Find the present value of the annuity that is offered if money is worth 7% compounded annually. (b) If she takes the $900,000, spends $100,000 of it, and invests the rest in a 4-year annuity at 7% compounded annually, what size annuity payment will she receive at the end of each year? (c) Which is better, taking the $100,000 and the annuity or taking the cash settlement?

A. (a) $297,227.79;  (b) $265,705.31; (c) $100,000 plus the annuity has a larger present value than $900,000. She should take $100,000 plus the annuity. B. (a) $217,967.04;  (b) $206,659.68; (c) $100,000 plus the annuity has a smaller present value than $900,000. She should take the cash settlement. C. (a) $330,253.10;  (b) $295,228.12; (c) $100,000 plus the annuity has a larger present value than $900,000. She should take $100,000 plus the annuity. D. (a) $220,168.73;  (b) $236,182.49; (c) $100,000 plus the annuity has a smaller present value than $900,000. She should take the cash settlement.

Mathematics

Simplify the radical. Assume that all variables represent nonnegative real numbers. 

A. x10
B. x9
C. x8
D. x9

Mathematics

Fill in the blank with one of the symbols =, <, or > to produce a true statement.-6 ? 1

A. = B. < C. >

Mathematics