Find All Cube Roots of the Complex Number $125 \mathrm { i }$

question 7

Multiple Choice

Find all cube roots of the complex number. Leave answers in trigonometric form.
- $125 \mathrm { i }$

• A) 5 cis \(0 ^ { \circ } , 5 \operatorname { cis } 120 ^ { \circ } , 5\) cis \(240 ^ { \circ }\)
• B) \(5 \operatorname { cis } 60 ^ { \circ } , 5 \operatorname { cis } 180 ^ { \circ } , 5 \operatorname { cis } 300 ^ { \circ }\)
• C) \(1 , - 1 , - \mathrm { i }\)
• D) \(5 \operatorname { cis } 30 ^ { \circ } , 5 \operatorname { cis } 150 ^ { \circ } , 5 \operatorname { cis } 270 ^ { \circ }\)

Recognize the historical perspectives and contributions to economic thought.

Understand the sources of government revenue and how tax policies affect different income groups.

Recognize the dynamics of government expenditure, including defense, Social Security, and public goods.

Analyze how government spending and taxation interact to influence the economy.

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Definitions:

Health Care

The organized provision of medical care to individuals or a community through services offered by health professionals.

Inflation

The economic condition characterized by an increase in prices and a decrease in the purchasing value of money.

Chronic Illnesses

Long-term health conditions that persist for months or years, often without a definitive cure but manageable through treatment and lifestyle changes.

Productive Lifestyles

A way of living that actively contributes to achieving personal goals, engaging in meaningful activities, and fostering growth and well-being.