Using the following cutoffs for different tax brackets, what is the income tax liability for a taxpayer who has $$160,000$ of taxable income? $($taxable income means that all deductions and exemptions are already accounted for$)$

Hint: do not use a tax table, calculate using the rates and do not use a $ sign

Example: if the answer is $$20,000$ enter $20,000$

$10\%-$ $$18,450$

$15\%-$ $$74,900$

$25\%-$ $$151,200$

$28\%-$ $$230,450$

$33\%-$ $$411,500$

$35\%-$ $$464,850$

$39\mathrm{.}6\%-$ above $$464,850$