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Gnoma [55]
3 years ago
5

The gross income of Ginger Hughes is $215 per week. Her deductions are: $15.16, FICA tax; $29.33, income tax; 2% state tax; 1% c

ity tax; and 3% retirement fund. What is her net income?
Mathematics
1 answer:
Anika [276]3 years ago
6 0
215 - 44.49  (I added the two deductions mentally) = 170.51

I see the percentages 2%, 1% and 3% add up to 6%
So we want 6% of 215 or .06 x 215 = $12.90

$170.51 - 12.90 = $157.61 net income.
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The area of a parallelogram is 96 cm squared the height is 4 cm less than the length what is
andrey2020 [161]
Area of paralellogram=legnth times height

l=legnth
h=height
area=96

lh=96

h is 4 less than l
h=-4+l
sub
l(-4+l)=96
-4l+l^2=96
minus 96 both sides
l^2-4l-96=0
factor
(l-12)(x+8)=0
set to zero
l-12=0
l=12

l+8=0
l=-8, imossible, legnth cannot be negative, disreagard this soultion

legnth=12cm
8 0
3 years ago
Read 2 more answers
Could you help me with this. <br><br> Express in simplest radical form.<br> 162<br><br> ​
Ivanshal [37]

Answer:

The square root of 162 in its simplest form means to get the number 162 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 162 like this:

√162

The largest perfect square of the factors of 162 is 81. We can therefore convert √162 like this:

√81 × 2

Next, we separate the numbers inside the √ as such:

√81 × √2

√81 is a perfect square that equals 9. We can therefore put 9 outside the radical and get the final answer to square root of 162 in simplest radical form as follows:

9√2

Step-by-step explanation:

7 0
3 years ago
The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
3 years ago
Find a parametrization r ( t ) r(t) of the line through the origin whose projection on the x y - xy- plane is a line of slope 8
ankoles [38]

Answer:

please check the attached file for the answer

Step-by-step explanation:

the explanation is in the attached file

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B7%7D%20%20%5Ctimes%20%20%5Cfra
VikaD [51]

Answer:

\frac{2}{3}*\frac{5}{7}*\frac{4}{5}*\frac{3}{4}\\=\frac{2}{7}

Step-by-step explanation:

5 0
3 years ago
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