Find the Quotient $$\frac { 4 + 2 i } { 7 - 9 i }$$

question 465

Multiple Choice

Find the quotient. Write the answer in standard form.
- $$\frac { 4 + 2 i } { 7 - 9 i }$$

• A) \(\frac { 46 } { 13 } + \frac { 22 } { 13 } \mathrm { i }\)
• B) \(- \frac { 23 } { 16 } + \frac { 5 } { 32 } \mathrm { i }\)
• C) \(\frac { 1 } { 13 } + \frac { 5 } { 13 } \mathrm { i }\)
• D) \(- \frac { 1 } { 32 } + \frac { 5 } { 32 } \mathrm { i }\)

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Definitions:

Capital Account

The capital account, in international economics, refers to part of a country's balance of payments that records all transactions involving the purchase or sale of assets.

Gold Standard

A monetary system in which the value of a country's currency is directly linked to a fixed amount of gold, allowing for the conversion of currency into a specified amount of gold.

Floating Exchange Rates

A currency valuation system where exchange rates are determined by the free market forces of supply and demand without direct government intervention.

Interest Rates

The cost of borrowing money or the reward for saving, typically expressed as a percentage.