In Canada, the federal tax rate you have to pay depends on your income bracket.

$-15\%$ on the first $$53,358$ of taxable income.

$-20\mathrm{.}5\%$ on taxable income over $$53,359$ up to $$106,717.$

$-26\%$ on taxable income over $$106,717$ up to $$165,430.$

$-29\%$ on taxable income over $$165,430$ up to $$235,675.$

$-33\%$ on any taxable income over $$235,675.$

a$.$ Write an expression that determines the Tax $($T$)$ as a function of income $($i$)$ for someone making more than

$$235,675.$

b$.$ How much federal tax would a person making $$100,000$ have to pay?