Question 1196077

In 2021, a single person could expect to pay $4500 in income taxes on an adjusted gross income of $30,000. How much more tax should the person expect to pay if her adjusted gross income increased $2000, knowing that this would not move her into a higher tax bracket?
<pre>      {{{matrix(3,3, matrix(1,2, "30,000", salary)/matrix(1,2, "32,000", salary), "=", matrix(1,3, tax, on, "$30,000")/matrix(1,2, T, matrix(1,3, "(tax", on, "32,000)")), "30,000"/"32,000", "=", "4,500"/T, 15/16, "=", "4,500"/T)}}}

                  15T = 16(4,500) ---- Cross-multiplying

Tax on $32,000, or {{{highlight_green(matrix(1,7, T, "=", 16("4,500")/15, "=", 16(300)(cross("4,500"))/cross(15), "=", highlight("$4,800")))}}}

So, <font color = red><font size = 4><b>excess tax to be paid</font></font></b> = $4,800 - $4,500 = <font color = red><font size = 4><b>$300</font></font></b></pre>