Find the AGI and taxable income:
2 answers:
Find the AGI and taxable income:
- $31,200 and $20,601
- $30106 and $19,606
- $29,586 and $18,505
- $28,863 and $17,636
Gross Income $30,856
Adjustments $750
1 Exemption $8200
Deduction $2,300
Gross Income $30,856
Adjustments $750
Adjusted gross income (AGI) is an individual's total gross income minus specific deductions. Therefore:
Taxable income is the base which an income tax system imposes tax. It is described as adjusted gross income which is your total income minus any deductions or exemptions allowed in that tax year. Therefore:
Therefore the answer is $30106 and $19,606
Find the AGI and taxable income.
Gross Income $67,890
Adjustments $0
3 Exemptions $24,600
Deduction $1469
- $69,440 and $45,300
- $68,990 and $42,831
- $67,890 and $41,821
- $65,551 and $44,821
Find the AGI and taxable income.
Gross income $19,723
Adjustments $255
1 Exemption $8200
Deduction $1430
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One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
Plugging this in for our points, we get
as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)
Feel free to ask further questions!
Plugging this in for our points, we get
Feel free to ask further questions!
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations
Which is really the same as this system
The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.