SOLUTION: 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 i

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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?
Found 3 solutions by ikleyn, MathTherapy, greenestamps:
Answer by ikleyn(52798) About Me  (Show Source):
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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?
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Write a proportion

    gross_income%5B1%5D%2Ftax%5B1%5D = gross_income%5B2%5D%2Ftax%5B2%5D.


Use the given info:  gross_income%5B1%5D = 30000;

                     tax%5B1%5D = 4500;

                     gross_income%5B2%5D = 30000 + 2000 = 32000.


Substitute it into the proportion

    30000%2F4500 = 32000%2Ftax%5B2%5D.


From the proportion, find  tax%5B2%5D = %284500%2A32000%29%2F30000 = 4800 dollars.


The increase in tax is  tax%5B2%5D - tax%5B1%5D = 4800 - 4500 = 300 dollars.    ANSWER

Solved and carefully/thoroughly explained.



Answer by MathTherapy(10552) About Me  (Show Source):
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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?
      

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

Tax on $32,000, or 

So, excess tax to be paid = $4,800 - $4,500 = $300

Answer by greenestamps(13200) About Me  (Show Source):
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From the given information, the tax rate for this tax bracket is

$4500/$30000 = 0.15

The amount of additional tax on the additional $2000 is therefore

0.15($2000)=$300