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Oksanka [162]
3 years ago
5

Sam’s gross income is $1800 every other Friday. Calculate his net income, for one paycheck, if his Federal tax rate is 10% and h

is State tax rate is 3%.
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

I believe the answer is $1571.4

Step-by-step explanation:

1800 - 10% = 1620

1620 - 3% = 1571.4

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tankabanditka [31]

Answer:

0 = 0

Step-by-step explanation:

8 0
3 years ago
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The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch. Suppose that the speci
Leni [432]

Answer:

0.0002 inch

Step-by-step explanation:

The empirical rule of the normal distribution, the 68-95-99.7 rule, means

if the mean is <em>μ</em> and the standard deviation is <em>σ</em>,

68% of data lies within <em>μ </em>- <em>σ</em> and <em>μ </em>+ <em>σ</em>,

95% of data lies within <em>μ </em>- 2<em>σ</em> and <em>μ </em>+ 2<em>σ</em>,

99.7% of data lies within <em>μ </em>- 3<em>σ</em> and <em>μ </em>+ 3<em>σ.</em>

<em />

From the question, <em>μ</em> = 0.002.

The required range is 0.0014 to 0.0026.

With a probability of 0.9963, then 0.9963 × 100% = 99.63% should lie within the range. This approximately corresponds to <em>μ </em>- 3<em>σ</em> and <em>μ </em>+ 3<em>σ.</em>

<em>μ </em>- 3<em>σ</em> = 0.0014

0.002 - 3<em>σ</em> = 0.0014

3<em>σ</em> = 0.0006

<em>σ</em> = 0.0002

Hence, the standard deviation is 0.0002 inch

We can check with the other end of the range:

<em>μ </em>+ 3<em>σ</em> = 0.0026

3<em>σ</em> = 0.0026 - 0.002

3<em>σ</em> = 0.0006

<em>σ</em> = 0.0002

7 0
3 years ago
2 congruent triangles solve for x and y
pishuonlain [190]

Answer:

3x+y=43

Step-by-step explanation:

because

ML~=SR

43=43

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3 years ago
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General <br> term for the sequence m, -m,m,-m.....
Lelu [443]
I'm assuming it is -m, +m, -m, +m etc..
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3 years ago
The directrix of a parabola is x = 4. Its focus is (2,6) .
Sati [7]

Answer:

Step-by-step explanation:

If you plot the directrix and the focus, you can see that the focus is to the left of the directrix.  Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific.  The formula for the parabola that opens to the left is

-(y-k)^2=4p(x-h)

We will solve this for x at the end.  The negative is out front because it opens to the left.  If it opened to the right, it would be positive.

The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus.  Since the vertex is directly between both the directrix and the focus, each distance is the same.  P = 1.  Filling in what we have now:

-(y-6)^2=4(1)(x-3) which simplifies to

-(y-6)^2=4(x-3)

Now we will solve it for x.

-(y-6)^2=4x-12 and

-(y-6)^2+12=4x so

-\frac{1}{4}(y-6)^2+12=x

4 0
3 years ago
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