Carol uses this graduated tax schedule to determine how much income tax she owes.

if taxable income is over. But not over

The tax is:

50

57 825 10% of the amount over 50

57 825

$31.850 5782 50 plus 15% of the amount over 7825

$31.850

564 250 54 386 25 plus 25% of the amount over 31.850

564 250

$97.925

$12.486 25 plus 28% of the amount over

64.250

597.925

$174 850

$21.915 25 plus 33% of the amount over

97 925

5174850

no limit

547 300.50 plus 35% of the amount over

174 850

If Carol's taxable income is $89,786, how much income tax does she owe, to the nearest dollar?

a $25,140

b. $12,654

c. $19,636

d. 27 626

The graph of f(x) = |x| is transformed to g(x) = |x + 11| - 7. on which interval is the function decreasing?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Suppose the equation ||x-a|-b|=2008 has 3 distinct real roots and a not =0. find the value of b.