Write the complex number in rectangular form.3(cos 60° + i sin 60°)

A.  + i
B.  + i
C.  + i
D.  + i


Answer: D

Mathematics

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Solve the problem.After retirement, Kelly's company offers her two options for receiving her retirement pension. According the the first plan, she will receive monthly payments from a variable annuity that initially pays  per month then decreases each month at a rate of  per month per year. Optionally, she may choose a plan that pays her a fixed amount of per month for the rest of her life. The monthly payments for the two plans are illustrated in the graph

below. After how many years does the variable plan pay less per month than the fixed plan?

A. 9 years
B. 8 years
C. Up to 8 years
D. The variable plan always pays less.

Mathematics

Solve the problem.A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents time in years and y represents the amount of the isotope left then the equation for the situation is   In how many years will there be 85% of the isotope left?

A. 234 years B. 813 years C. 750 years D. 1500 years

Mathematics

Solve the problem.How many ways can a president, vice-president, and secretary be chosen from a club with 12 members?

A. 6 B. 220 C. 36 D. 1320

Mathematics

Solve the system of equations by the elimination method.-5x - 4y = 2-15x - 12y = -6

A. no solution B. infinitely many solutions C. (10, 8) D. (-10, -8)

Mathematics