Perform the Indicated Operation $\frac { 7 + 5 i } { 3 - 2 i }$

question 227

Multiple Choice

Perform the indicated operation. Write the result in the form a + bi.
- $\frac { 7 + 5 i } { 3 - 2 i }$

• A) \(\frac { 11 } { 13 } + \frac { 29 } { 13 } \mathrm { i }\)
• B) \(\frac { 31 } { 13 } - \frac { 1 } { 13 } \mathrm { i }\)
• C) \(\frac { 31 } { 5 } - \frac { 29 } { 5 } \mathrm { i }\)
• D) \(\frac { 11 } { 5 } - \frac { 29 } { 5 } \mathrm { i }\)

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Definitions:

Gross Profit

The difference between the selling price and the unit cost of an item of merchandise. (Also called markup.)

Markdown

The reduction of a product's selling price, often to clear inventory or promote sales.

Mark-up

An enhancement to the price at which goods are bought to include expenses and profit.

Selling Price

The amount of money a buyer pays to purchase a product or service from a seller.