Do the Operation and Express the Answer in a $$\frac { 4 + i } { 8 - i \sqrt { 3 } }$$

question 9

Multiple Choice

Do the operation and express the answer in a + bi form. $$\frac { 4 + i } { 8 - i \sqrt { 3 } }$$

• A) \(\quad \frac { 67 + \sqrt { 3 } } { 67 } - \frac { 8 + 4 \sqrt { 3 } } { 67 } i\)
• B) \(\quad \frac { 32 + \sqrt { 3 } } { 67 } + \frac { 8 - 4 \sqrt { 3 } } { 1 } i\)
• C) \(\quad \frac { 67 - \sqrt { 3 } } { 67 } - \frac { 8 - 4 \sqrt { 3 } } { 67 } i\)
• D) \(\quad \frac { 32 - \sqrt { 3 } } { 67 } + \frac { 8 + 4 \sqrt { 3 } } { 67 } i\)
• E) \(\quad \frac { 32 - \sqrt { 3 } } { 67 } - \frac { 8 - 4 \sqrt { 3 } } { 33 } i\)

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Definitions:

Earnings Rate

The return on an investment for a specific period, typically expressed as a percentage of the investment's initial cost.

Internal Rate Of Return

A financial metric used to evaluate the profitability of potential investments, calculated as the discount rate that makes the net present value of all cash flows from a project equal to zero.

Useful Life

The period over which an asset is expected to be usable by a company for the purpose of its operations.

Automatic Insertion Machine

Equipment used in manufacturing to automatically place components onto printed circuit boards or other assemblies with precision and speed.