Find the Quotient $$\frac { 2 + 3 i } { 5 + 2 i }$$

question 297

Multiple Choice

Find the quotient. Write the answer in standard form.
- $$\frac { 2 + 3 i } { 5 + 2 i }$$

• A) \(\frac { 16 } { 29 } + \frac { 11 } { 29 } \mathrm { i }\)
• B) \(\frac { 16 } { 21 } - \frac { 11 } { 21 } \mathrm { i }\)
• C) \(\frac { 4 } { 21 } - \frac { 11 } { 21 } \mathrm { i }\)
• D) \(\frac { 4 } { 29 } - \frac { 19 } { 29 } i\)

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Definitions:

Expected Return

The estimated average return on an investment, accounting for the probabilities of each possible outcome.

Undiversifiable Risk

A type of risk inherent to the entire market or market segment that cannot be mitigated through diversification.

Beta Coefficient

The beta coefficient measures the volatility of an investment in relation to the market as a whole, indicating its relative risk.

Variance of Returns

A statistical measurement of the dispersion of returns for a given security or market index, often used as a measure of volatility or risk.