Find the Quotient $$\frac { 8 - 7 i } { 5 + 4 i }$$

question 153

Multiple Choice

Find the quotient. Write the answer in standard form.
- $$\frac { 8 - 7 i } { 5 + 4 i }$$

• A) \(\frac { 4 } { 3 } + \frac { 67 } { 9 } \mathrm { i }\)
• B) \(\frac { 12 } { 41 } - \frac { 67 } { 41 } i\)
• C) \(\frac { 68 } { 41 } + \frac { 3 } { 41 } i\)
• D) \(\frac { 68 } { 9 } + \frac { 67 } { 9 } \mathrm { i }\)

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Definitions:

Machine-Hours

A measure of production volume or activity based on the number of hours machines are in operation.

Unused Capacity

The available production capability that is not being utilized by a company.

Capacity

It is the maximum level of output that a company can sustain to produce in a given period under normal conditions.

Job-Order Costing

A costing methodology that calculates the cost of individual jobs or batches, useful in manufacturing or service industries where jobs are distinct and have varying requirements.