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Algebra
Question

Suppose a state's income tax code states that tax ...

Suppose a state's income tax code states that tax liability is \(19 \% \) on the first \(\$ 19,900\) of taxable earning and \(12 \% \) on the remainder. Find constants \(a\) and \(b\) for the tax function 

\(T ( x ) = \left\{ \begin{array} { l r } { a + 0.19 x } \ \ { x \leq 19,900 }\\ { b + 0.12 ( x - 19,900 ) } \ \ { x > 19,900 } \end{array} \right.\) such that \(\lim _ { x \rightarrow 0 ^ { + } } T ( x ) = 0\) and \(\lim _ { x \rightarrow 19,900 } T ( x )\) exists.\(a = \square , b = \square\)

Answer

a = -1393

b = 2388

Solution
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