Joe's taxable income is $67,825. Use this tax schedule to calculate the total amount he owes in taxes.1. $8,993.752. $13,380.003
2 answers:
Table:
<em>If Taxable Income Is Over -- But Not Over</em>
<em>The Tax Is:</em>
10 percent of the amount over $0
$782.50 plus 15 percent of the amount over 7,825
$4,386.25 plus 25 percent of the amount over 31,850
$15,698.75 plus 28 percent of the amount over 77,100
$39,148.75 plus 33 percent of the amount over 160,850
$101,469.25 plus 35 percent of the amount over 349,700
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Answer:
{y | y ≥ -11 }
Step-by-step explanation:
To answer a question like this, it is often helpful to graph the function or to rewrite it to vertex form.
f(x) = 3x^2 +6x -8
f(x) = 3(x^2 +2x) -8 . . . . factor the leading coefficient from x terms
f(x) = 3(x^2 +2x +1) -8 -3(1) . . . . complete the square*
f(x) = 3(x +1)^2 -11
The form of this equation tells you that the graph is a parabola that opens upward. Its vertex is (-1, -11), so the minimum value is -11. The range is the vertical extent of the function values, so goes upward from -11:
y ≥ -11
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* Vertex form is ...
f(x) = a(x -h)^2 +k
where "a" is the vertical scale factor and (h, k) is the vertex. When "a" is positive, the parabola opens upward; when it is negative, the parabola opens downward.
The square is completed by adding the square of half the x-coefficient inside parentheses, and subtracting the equivalent amount outside parentheses. Here, we had 2x inside parentheses, so we added (2/2)^2 = 1 inside and -3(1) outside, because "a" was 3.
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Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.
