New York state income tax is based on taxable income, which is part of a...

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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 the taxable income (not total income). In 2016, for a single person with a taxable income between $80,150 and $214,000, the tax owed was $4833 plus 6.65% of the taxable income over $80,1501.
(a) Compute the tax owed by a lawyer whose taxable income is $99,000. NOTE: Round to the nearest cent.
Tax owed =
(b) Consider a lawyer whose taxable income is 90% of her total income, x, where x is between $110,000 and $200,000. Assuming her total income is between $110,000 and $200,000, write a
formula for T(x), the taxable income.
T(x)=
(c) Write a formula for L(x), the amount of tax owed by the lawyer in part (b). NOTE: Enter the exact answer or round to 3 decimal places.
L(x)=
(d) Use L(x) to evaluate the tax owed for x=110,000 and compare your results to part (a). NOTE: Round to the nearest cent.
Tax owed =$
The values from (a) and (d) are
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