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For a levered firm (a firm that uses debt financing), which of the following ratios would ideally indicate the highest return to equity shareholders?
A levered firm uses debt, which creates a financial leverage effect. When a firm earns more on borrowed funds than it pays in interest, the surplus accrues to equity shareholders — amplifying returns. Return on Common Equity (ROE) $= \dfrac{\text{Net Income}}{\text{Shareholders' Equity}}$ captures this magnified return because the denominator (equity) is smaller when the firm uses debt. ROA and ROCE use total assets or capital employed (including debt) as the base, which dilutes the leverage effect.
According to the text, ethics in HRM is described as:
The text explicitly states that ethics is the bedrock of socially responsible behavior. While codes of ethics exist, managerial decisions related to HR are subject to judgment calls, and what is ethical or unethical is often open to debate except in blatant cases.
The statement that 'stock market often looks favorably on layoffs' suggests:
This reveals that financial markets often prioritize short-term cost reduction (immediate expense savings from layoffs) over long-term human capital development, even though chronic job insecurity causes stress and can lower performance and productivity.
For each $x\in\mathbb{R}$, let $[x]$ be the greatest integer $\leq x$. Find: $\displaystyle\lim_{x\to0^-}\dfrac{x([x]+|x|)\sin[x]}{|x|}$
For $x\to0^-$: $x<0$, $|x|=-x$, $[x]=-1$.
$\dfrac{x((-1)+(-x))\sin(-1)}{-x} = \dfrac{x(-1-x)(-\sin1)}{-x}$
$= \dfrac{x(1+x)\sin1}{x} = (1+x)\sin1$
As $x\to0^-$: limit $= 1\cdot\sin1$... wait: $= \dfrac{x(-1-x)(-\sin1)}{-x} = \dfrac{(1+x)\sin1 \cdot x}{x}=(1+x)\sin1\to\sin1$? Re-doing: numerator $= x(-1-x)\sin(-1)=x(-1-x)(-\sin1)=x(1+x)\sin1$; denominator $=-x$. So $=\dfrac{x(1+x)\sin1}{-x}=-(1+x)\sin1\to-\sin1$. Answer: $\mathbf{-\sin 1}$.
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