New York state income tax is based on taxable income which is part of a person's total income. The tax owed to the state is calculated using taxable income (not total income). In 2005, for a single person with a taxable income between $20,000 and $100,000, the tax owed was $973 plus 6.85% of the taxable income over $20,000. Answer the following questions, and DO NOT include any commas in your final answers.

(a) Compute the tax owed by a person whose taxable income is $63,000.
tax = $ (round to nearest dollar)

(b) Consider a lawyer whose taxable income is 70% of her total income, $$x$, where $x$ is between $60,000 and $120,000. Write a formula for $T(x)$, the amount of taxable income (not the tax owed, yet).
$T(x) =$

(c) Write a formula for $L(x)$, the amount owed by the lawyer in part (b).
$L(x) =$

(d) Use $L(x)$ to evaluate the tax liability (amount owed) for $x = 90 ,000$ and compare your results to part (a).
$L( 90000 ) =$ $ (round to nearest dollar)