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Novay_Z [31]
4 years ago
7

9. This piecewise function represents the Social Security taxes for 2009. How much did Rachel pay in Social

Mathematics
1 answer:
ANEK [815]4 years ago
5 0

Answer:

Option c.

Step-by-step explanation:

It is given that the piecewise function represents the Social Security taxes for 2009.

Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}

We need to find Rachel's security tax if she earned $102,000 in 2009.

Since 102,000 lies in 0, therefore

Tax=0.062x

Put x=102000.

Tax=0.062(102000)

Tax=6324

So, the Social  Security tax is $6324.

Therefore, the correct option is c.

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Ok, so 1/4 is 25%
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3 years ago
What is the simplified form of square root of 100x^36? a.10x^18 b.10x^6 c.50x^18 d.50x^6
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3 years ago
Lim x-0 3x²/(1-cos5x)
mylen [45]

The limit is presented in the following undefined form:

\displaystyle \lim_{x\to 0}\dfrac{3x^2}{1-\cos(5x)} \to \dfrac{3\cdot 0^2}{1-\cos(5\cdot 0)} = \dfrac{0}{0}

In cases like this, we can use de l'Hospital rule, which states that this limit, if it exists, is the same as the limit of the derivatives of numerator and denominator.

So, we switch

\dfrac{f(x)}{g(x)}\to\dfrac{f'(x)}{g'(x)}

The derivative of the numerator is

\dfrac{d}{dx} 3x^2 = 6x

Whereas the derivative of the denominator is

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So, the new limit is

\displaystyle \lim_{x\to 0}\dfrac{6x}{5\sin(5x)} \to \dfrac{6\cdot 0}{5\cdot 0} = \dfrac{0}{0}

So, it would seem that we didn't solve anything, but indeed we have! Recall the limit

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4 0
4 years ago
Read 2 more answers
James is playing his favorite game at the arcade. After playing the game 33 times, he has 88 tokens remaining. He initially had
Vlad1618 [11]

Answer:

t(g)=-4g+20

Step-by-step explanation:

Let g be the number of games James plays and t be the number of tokens James has.

We will write our function's formula in slope-intercept form of equation.

y=mx+b, where,

m = Slope of line,

b = y-intercept.

We have been given that initially James has 20 tokens. This means that before playing the games James has 20 tokens or at g equals 0 t equals 20. So our y-intercept will be 20.

We are also told that after playing the game 3 times, he has 8 tokens remaining.

Let us find the slope of line using points (3,8) and (0,20).

m=\frac{y_2-y_1}{x_2-x_1}, where,

m = Slope of line,

y_2-y_1= Difference between two y-coordinates,

x_2-x_1= Difference between x-coordinates of same two y-coordinates.

Upon substituting coordinates of our given points we will get,

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So the slope of our line will be -4.

We can see that number of remaining tokens are dependent on number games James plays, this mean that t is a function of g.

Upon substituting our values in slope-intercept form of equation we will get,

t(g)=-4g+20, where, t(g) represents number of tokens James has left after playing g games.

Therefore, our required function will be t(g)=-4g+20.

4 0
3 years ago
Question on packer due tomorrow also can you please show work? Question: the perimiter of an isosceles triangle is 75mm. The two
Korvikt [17]
75=x+2(x+10)
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3x=55
X=55/3
7 0
4 years ago
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