Solve the Problem Can Be Used to Estimate the Value Of

question 138

Multiple Choice

Solve the problem.
-The series $\ln ( \mathrm { x } ) = ( \mathrm { x } - 1 ) - \frac { ( \mathrm { x } - 1 ) ^ { 2 } } { 2 } + \frac { ( \mathrm { x } - 1 ) ^ { 3 } } { 3 } - \ldots + ( - 1 ) ^ { \mathrm { n } - 1 } \frac { ( \mathrm { x } - 1 ) ^ { \mathrm { n } } } { \mathrm { n } }$ can be used to estimate the value of $\ln ( a )$ for any positive real number a such that $0 < a \leq 2$ . Use the first five terms of this series to estimate $\ln ( 1.54 )$ . Round to the nearest thousandth.

• A) \(- 0.495\)
• B) \(0.435\)
• C) \(1.995\)
• D) \(1.325\)

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Definitions:

Cash Flows

Incoming and outgoing cash movements in a business or project, crucial for understanding its liquidity and operational efficiency.

Target Cash Balance

The optimal amount of cash that a company aims to hold at any given time to fulfill operational and transactional requirements.

Interest Rate

The fraction of a loan subject to interest charges for the borrower, commonly stated as an annual percentage of the outstanding loan balance.

BAT Model

Stands for Behavioral Adjustment Tax, a concept in economic theories but without a standard definition; alternatively, it may refer to niche or specific theoretical models not widely recognized in mainstream economics.