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:
$0
$7,825 10% of the amount over $0
$7,825
$31,850 $782.50 plus 15% of the amount over 7,825
$31,850
$64, 250 $4,386.25 plus 25% of the amount over 31,850
S64,250
$97.925
$12,486 25 plus 28% of the amount over
64,250
$97.925
$174,850
$21.915.25 plus 33% of the amount over
97,925
$174,850
no limit
$47.300.50 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 $37,626

597

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1