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Vladimir79 [104]
4 years ago
8

Mr. John Doe was figuring out his federal tax. His income was $26,800, but he was able to subtract $5,000 in deductions. He paid

15% of the remaining income in tax. How much did he pay?
Mathematics
1 answer:
dangina [55]4 years ago
6 0
u have to subtract 26,800 by 5,000 then u would get 21800 then u find 15% of 21800 and u get 3270 John Doe paid $3,270
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a line has a slope of -2 and passes through the point (-1,4).what is its equation in slope intercept form?​
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Answer:

y=-2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-2(x-(-1))

y-4=-2(x+1)

y-4=-2x-2

y=-2x-2+4

y=-2x+2

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3 years ago
Lilly bought stock at $83.60. The next day, the price increased by $15.35. Then this price changed by $-2.15.Wgat was the final
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Simplify (12a5−6a−10a3)−(10a−2a5−14a4) . Write the answer in standard form
almond37 [142]

Answer:

=14a^5+14a^4-10a^3-16a

Step-by-step explanation:

\left(12a^5-6a-10a^3\right)-\left(10a-2a^5-14a^4\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=12a^5-6a-10a^3-\left(10a-2a^5-14a^4\right)\\-\left(10a-2a^5-14a^4\right):\quad -10a+2a^5+14a^4\\-\left(10a-2a^5-14a^4\right)\\\mathrm{Distribute\:parentheses}\\=-\left(10a\right)-\left(-2a^5\right)-\left(-14a^4\right)\\Apply\:minus-plus\:rules\\-\left(-a\right)=a,\:\:\:-\left(a\right)=-a\\=-10a+2a^5+14a^4\\=12a^5-6a-10a^3-10a+2a^5+14a^4

\mathrm{Simplify}\:12a^5-6a-10a^3-10a+2a^5+14a^4:\quad 14a^5+14a^4-10a^3-16a12a^5-6a-10a^3-10a+2a^5+14a^4\\Group\:like\:terms\\=12a^5+2a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:12a^5+2a^5=14a^5\\=14a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:-6a-10a=-16a\\=14a^5+14a^4-10a^3-16a

4 0
3 years ago
The ratio of the length of a rectangle to its width is 8 to 5. If the longer side of the rectangle is 20ft, what is the length o
choli [55]

Answer: The answer is 12.5 ft.


Step-by-step explanation:  Given that there is a rectangle with ratio of its length to breadth 8 : 5. Also, the longer side of the rectangle is 20 feet. We are to find the length of the shorter side.

Let, '8x' and '5x' be the length and breadth of the rectangle respectively. Since length is the longer side, so we have

8x=20\\\\\Rightarrow x=\dfrac{20}{8}\\\\\\\Rightarrow x=2.5.

Therefore, width, length of the shorter side will be

W=5x=5\times 2.5=12.5~\textup{ft.}

Thus, the length of the shorter side is 12.5 ft.


6 0
3 years ago
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Estimate the perimeter of the figure to the nearest whole number.
Brrunno [24]

Answer:

<u>The perimeter of the pentagon ≅ 19 units (approximately)</u>

Step-by-step explanation:

Clockwise, starting from the base of the pentagon, we have:

  • Base of the pentagon or bottom side ≅ 4 units
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  • 3rd side ≅ 3.75 units
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In consequence,

Perimeter of the pentagon ≅ 4 + 3.75 + 3.75 + 3.75 + 3.75

<u>Perimeter of the pentagon ≅ 19 units</u>

8 0
3 years ago
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