Use the Binomial Theorem to Approximate $1.82 ^ { 8 }$

question 46

Multiple Choice

Use the Binomial Theorem to approximate $1.82 ^ { 8 }$ rounded to three decimal places. For example: $( 1.02 ) ^ { 10 } = ( 1 + 0.02 ) ^ { 10 } \approx 1 + 10 ( 0.02 ) + 45 ( 0.02 ) ^ { 2 }$ .

• A) \(89.235\)
• B) \(120.385\)
• C) \(92.066\)
• D) \(52.31\)
• E) \(66.145\)

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Definitions:

Aggregate

A total or whole made up of distinct elements or individuals gathered together.

Morality

A system of values and principles concerning the distinction between right and wrong or good and bad behavior.

Formation

The process of coming into existence or the act of creating or developing something.

Entitativity

The extent to which a group is perceived as a cohesive and singular entity, distinguished by the uniformity and interdependence of its members.