Capital Budgeting:

$AE=\frac{NPV}{[\frac{1-(1+r{)}^{-n}}{r}]}$

$NP{V}_{}=NP{V}_0(\frac{(1+r{)}^n}{(1+r{)}^n-1})$

Free Cash Flow $=$ EBIT $(1-{}_c)+$ Depreciation $-$ CapEx $-NWC$

After Tax Salvage Value $=$ Sale Price Sale Price $-$ Book Value

How are these formulas used? Please provide examples.