Table 5 shows a recent state income tax schedule for married...

Table 5 shows a recent state income tax schedule for married couples filing a joint return in Kansas. (A) Write a piecewise definition for the tax due $T(x)$ on an income of $x$ dollars. (B) Graph $T(x)$. (C) Find the tax due on a taxable income of $\$ 40,000$. Of $\$ 70.000$

Table 6 shows a recent state income tax schedule for individuals filing a return in Kansas. $$ \begin{array}{l} \text { SCHEDULE II-SINGLE, HEAD OF HOUSEHOLD, OR } \\ \text { MARRIED FILING SEPARATE } \\ \text { If taxable income is } \\ \text { Over } \quad \text { But Not Over } \quad \text { Tax Due Is } \\ \qquad \begin{array}{rll} \$ 0 & \$ 15,000 & 3.50 \% \text { of taxable income } \\ \$ 15,000 & \$ 30,000 & \$ 525 \text { plus } 6.25 \% \text { of excess over } \$ 15,000 \\ \$ 30,000 & & \$ 1,462.50 \text { plus } 6.45 \% \text { of excess over } \\ & & \$ 30,000 \\ \end{array} \end{array} $$ (A) Write a piecewise definition for the tax due $T(x)$ on an income of $x$ dollars. (B) $\operatorname{Graph} T(x)$. (C) Find the tax due on a taxable income of $\$ 20,000$. Of $\$ 35,000$ (D) Would it be better for a married couple in Kansas with two equal incomes to file jointly or separately? Discuss.

Calculus for Business, Economics, Life Sciences, and Social Sciences

Functions and Graphs

Elementary Functions: Graphs and Transformations

Question

Table 5 shows a recent state income tax schedule for married couples filing a joint return in Kansas. (A) Write a piecewise definition for the tax due $T(x)$ on an income of $x$ dollars. (B) Graph $T(x)$. (C) Find the tax due on a taxable income of $\$ 40,000$. Of $\$ 70.000$

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