calculate the exact tax liability for Manuel, a 45 single teacher with $90,000 in taxable income.

Table 4-3 Tax Table \begin{tabular}{|c|c|c|c|} \hline 58,800 & r & 8,800 & \\ \hline 58,850 & 58,900 & 8,811 & 6,677 \\ \hline 66,450 & 66,500 & 10,483 & 7,589 \\ \hline 66,500 & 66,550 & 10,494 & 7,595 \\ \hline 70,000 & 70,050 & 11,264 & 8,015 \\ \hline 70,050 & 74,150 & 11,275 & 8,021 \\ \hline 74,150 & 74,200 & 12,177 & 8,513 \\ \hline 74,200 & 74,250 & 12,188 & 8,519 \\ \hline 92,200 & 92,250 & 16,309 & 12,007 \\ \hline 92,250 & 92,300 & 16,321 & 12,018 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c} \hline 50,100 & 50,150 & 6,886 & 5,627 \\ \hline 56,000 & 56,150 & 8,195 & 6,341 \\ \hline 56,150 & 56,200 & 8,217 & 6,353 \\ \hline 58,150 & 58,200 & 8,657 & 6,593 \\ \hline 58,800 & 58,850 & 8,800 & 6,671 \\ \hline 58,850 & 58,900 & 8,811 & 7,677 \\ \hline 66,450 & 66,500 & 10,483 & 7,595 \\ \hline 66,500 & 66,550 & 10,494 & 8,015 \\ \hline 70,000 & 70,050 & 11,264 & 8,021 \\ \hline 70,050 & 74,150 & 11,275 & \\ \hline 74,150 & & 12,177 & \\ \hline \end{tabular}