Expand
- $$\left( \frac { 5 } { x } - 3 x \right) ^ { 4 }$$

question 83

Multiple Choice

Expand.
- $$\left( \frac { 5 } { x } - 3 x \right) ^ { 4 }$$

• A) \(\frac { 625 } { x ^ { 4 } } - \frac { 1500 } { x ^ { 2 } } + 1350 x - 540 x ^ { 2 } + 81 x ^ { 4 }\)
• B) \(\frac { 625 } { x ^ { 4 } } - \frac { 1500 } { x ^ { 2 } } + 2700 - 540 x ^ { 2 } + 81 x ^ { 4 }\)
• C) \(\frac { 625 } { x ^ { 4 } } - \frac { 1500 } { x ^ { 3 } } + 1350 - 540 x ^ { 3 } + 81 x ^ { 4 }\)
• D) \(\frac { 625 } { x ^ { 4 } } - \frac { 1500 } { x ^ { 2 } } + 1350 - 540 x ^ { 2 } + 81 x ^ { 4 }\)

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Definitions:

Compounded Quarterly

A method where interest is added to the principal amount of an investment or loan at the end of every three months, leading to interest earning interest.

Deferred Annuity

A financial product that delays payments of income, installments, or a series of payments until a specified future date.

Ordinary Annuity

A sequence of identical disbursements done at consecutive period ends over a predefined duration.

Perpetuity

A type of annuity that generates an infinite series of future payments, theoretically lasting forever.