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Novay_Z [31]
3 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]3 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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f each bowl of ice cream creates a profit of $0.35, what could be the profit made from the 3/4 of a gallon of ice cream?
WINSTONCH [101]

Answer:

  • $4.2

Step-by-step explanation:

<u>Full question is:</u>

  • <em>At an ice cream social, 3/4 of a gallon of ice cream is split into bowls, each containing 1/16 of a gallon of ice cream. How many bowls of ice cream can be made? </em>
  • <em>If each bowl of ice cream creates a profit of $0.35, what could be the profit made from the 3/4 of a gallon of ice cream?</em>
<h3>Solution</h3>

<u>Number of bowls is:</u>

  • 3/4 ÷ 1/16 = 3/4*16 = 12 bowls

<u>Profit made:</u>

  • 12*$0.35 = $4.2
3 0
2 years ago
Angie is 11 which is three years younger than four times her sisters age
solong [7]
A=Angie
S=Sister

A=4*S-3
4 0
3 years ago
Read 2 more answers
If Ryan paid $63 for shoes that were regularly priced at $90, what was the percent discount of the
Ray Of Light [21]

Answer:

30% off

Step-by-step explanation:

63 is 70% of 90 which means that 30 percent of the price is off.

Please mark me brainliest. I need it. Hope this helps

7 0
3 years ago
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Step-by-step explanation:

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2 years ago
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Y=x² + 16x + 64
motikmotik

I'll do the first one to get you started

The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64

Compare that to y = ax^2+bx+c and we see that

a = 1

b = 16

c = 64

Use the values of 'a' and b to get the value of h as shown below

h = -b/(2a)

h = -16/(2*1)

h = -8

This is the x coordinate of the vertex.

Plug this x value into the original equation to find the corresponding y value of the vertex.

y = x^2+16x+64

y = (-8)^2 + 16(-8) + 64

y = 0

Since the y coordinate of the vertex is 0, this means k = 0.

The vertex is (h,k) = (-8, 0)

---------------------

So we found that a = 1, h = -8 and k = 0

Therefore,

f(x) = a(x-h)^2 + k

f(x) = 1(x-(-8))^2 + 0

f(x) = (x+8)^2

is the vertex form

---------------------

<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
8 0
3 years ago
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