Given Julia's taxable income of [tex]$37,500, let's determine her income bracket and total tax due:
1. Income Bracket:
- Julia's income of $[/tex]37,500 falls in the [tex]$9,526 to $[/tex]38,700 bracket.
2. Tax Calculation:
- For the first bracket ([tex]$0 to $[/tex]9,525) at 10%:
[tex]\[
9,525 \times 0.10 = 952.50
\][/tex]
- For the second bracket ([tex]$9,526 to $[/tex]37,500) at 12%:
[tex]\[
(37,500 - 9,526 + 1) \times 0.12 = 27,975 \times 0.12 = 3,357
\][/tex]
Adding up these amounts:
[tex]\[
952.50 + 3,357 = 4,309.50
\][/tex]
Thus, Julia's taxable income falls in the [tex]$9,526 to $[/tex]38,700 income bracket, and her total tax due is [tex]$4,309.50.
So the completed text is:
Julia's taxable income falls in the $[/tex]\boxed{9,526 \text{ to } 38,700}[tex]$ income bracket, and her total tax due is $[/tex]\boxed{4,309.50}$.