The federal income tax rate schedule for a person filing a single return in $2018$ is shown here.

Answer parts $($a$)$ and $($b$).$

a$)$ Shenile works as a student tutor and paid $$846$ in federal taxes in $2018.$ Determine Shenile's taxable income.

Shenile's taxable income is $

b$)$ Logan works as a caddy at a golf course and paid $$1861\mathrm{.}50$ in federal taxes in $2018.$ Determine Logan's taxable income.

Logan's taxable income is $

$\backslash$table$[[$Taxable Income,Taxes$],[$$$0-$$$9525,10\%$ of taxable income$],[$$$9526-$$$38,700,$$$952\mathrm{.}50+12\%$ of the amount over $$9525$