The Total Numbers of Navy Personnel N (In Thousands)and Marines $N ( t ) = 0.193 t ^ { 3 } - 3.88 t ^ { 2 } + 15.9 t + 370$

question 52

Multiple Choice

The total numbers of Navy personnel N (in thousands) and Marines personnel M (in thousands) from 2000 through 2007 can be approximated by the models​ $N ( t ) = 0.193 t ^ { 3 } - 3.88 t ^ { 2 } + 15.9 t + 370$ and $M ( t ) = 0.033 t ^ { 3 } - 0.21 t ^ { 2 } + 1.7 t + 171$ ​ where t represents the year,with t = 0 corresponding to 2000.
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Find and interpret $( N + M ) ( t )$ .
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• A) \(( N + M ) ( t ) = 0.226 t ^ { 3 } + 4.09 t ^ { 2 } - 17.6 t - 541\) ,which represents the total number of Navy and Marines personnel combined.
• B) \(( N + M ) ( t ) = 0.226 t ^ { 3 } + 4.09 t ^ { 2 } + 17.6 t + 541\) ,which represents the total number of Navy and Marines personnel combined.
• C) \(( N + M ) ( t ) = 0.226 t ^ { 3 } - 4.09 t ^ { 2 } - 17.6 t - 541\) ,which represents the total number of Navy and Marines personnel combined.
• D) \(( N + M ) ( t ) = 0.226 t ^ { 3 } - 4.09 t ^ { 2 } + 17.6 t + 541\) ,which represents the total number of Navy and Marines personnel combined.
• E) \(( N + M ) ( t ) = 0.226 t ^ { 2 } - 4.09 t ^ { 3 } - 17.6 t + 541\) ,which represents the total number of Navy and Marines personnel combined.

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Definitions:

Treasury Stock

Represents shares that were previously issued and outstanding but have been repurchased by the company and are held in its treasury.

Cash Flow Statement

A financial statement that details the inflows and outflows of cash for an entity over a specific period, categorizing them into operations, investing, and financing activities.

Indirect Method

a financial reporting approach used to generate a cash flow statement, where net income is adjusted for changes in assets and liabilities that affect cash but not income.

Financing Activities

Transactions and events where cash flows result from raising capital and repaying debts, critical for understanding the company’s financial health.