Bogleheads:Sandbox

$$ \begin{align} \text{Net worth} & = (\text{Total Assets}) - (\text{Total Liabilities}) \\ $170,000 & = $397,000 - $227,000 \end{align} $$

Some text here.

This works:

$$ \begin{align} {marginal\ tax\ rate\ at\ income\ of\ $20,000} & = \frac{tax(20,000 + 100) - tax(20,000)}{(20,000 + 100) - (20,000)} \\ \\ {marginal\ tax\ rate(I)}&= \frac{tax(I + \Delta) - tax(I)}{\Delta}\\ \\ \frac{df(x)}{dx}&=\lim_{\delta\rightarrow \infty} \frac{(f(x+\delta)-f(x))}{\delta} \end{align} $$

This doesn't work.

$$ \begin{align} {marginal\ tax\ rate\ at\ income\ of\ $20,000} & = \frac{tax(20,000 + 100) - tax(20,000)}{(20,000 + 100) - (20,000)} \\ \\ {marginal\ tax\ rate(I)}&= \frac{tax(I + \Delta) - tax(I)}{\Delta}\\ \\ \frac{df(x)}{dx}&=\lim_{\delta\rightarrow 0} \frac{(f(x+\delta)-f(x))}{\delta} \end{align} $$