Answer:
B, "The graph of g(x) will eventually exceed the graph of f(x)."
Step-by-step explanation:
Answer:
Percentage=33.33%
Step-by-step explanation:
Total number of students=Number of 8th grader+others who went on trip
where;
Total number of students=60
Number of 8th graders=20
Others who went on trip=x
replacing;
60=20+x
x=(60-20)
x=40
Others who went on trip=x=40
Ratio of number of eighth graders to the number of everyone who went on the trip is;
Eighth graders who went=20 students
Everyone who went including the eighth graders=60
20/60==1/3
(1/3)×100=33.33%
Percentage=33.33%
Marilyn's net pay will increase by $18.15 as her Federal Withholding Allowance increases from 3 to 4.
<h3>What is Federal Withholding Allowance?</h3>
A Federal Withholding Allowance is an exemption that lowers the amount of income tax you must deduct from an employee's paycheck.
Given: The following are the deductible computation:
- For federal withholding allowance = 3:
- Social Security Tax: 6.2% of $810 =
= $50.22 - Medicare tax : 1.45% of $810 =
= $11.745 - State tax: (21% of 3)% of $810=
= 0.63% of $810 =
= $5.103
Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).
- For Federal Withholding Allowance = 4:
- State tax: (21% of 4)% of $810 =
= 0.84% of $810 =
= $6.8704
Thus, as we can see from the calculations, the State taxes increased from $5.103 to $6.8704. Hence, the net pay increases by $18.15 as the federal allowance increases from 3 to 4.
To learn more about Federal Withholding Allowance, refer to the link: brainly.com/question/1212566
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Answer:
x = 47°
Step-by-step explanation:
m∠DPB + ∠BPC = 180° (Definition of a straight line)
Plug in the corresponding numbers and variables to the corresponding places:
x + 133 = 180
Isolate the variable, x. Subtract 133 from both sides:
x + 133 (-133) = 180 (-133)
x = 180 - 133
x = 47
47° is your answer.
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Answer:
y = 1/3x + 7
Step-by-step explanation:
Perpendicular slope is opposite reciprocal so it will be 1/3
Use the slope and point given and plug into y = mx + b
4 = 1/3 (-9) + b
4 = -3 + b
7 = b
write new equation with new b and m
y = 1/3x + 7