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DochEvi [55]
3 years ago
12

A student sells ice cream bars. Her weekly salary is given by ​, where x is the number of ice cream bars sold. Her employer dete

rmines the amount withheld for taxes using the function ​, where x is her weekly salary. Write the amount withheld as a function of the number of ice cream bars sold.​ Hint: Use composition.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

9514 1404 393

Answer:

  W(x) = 0.06x +30

Step-by-step explanation:

The withholding on the student's salary is ...

  W(S(x)) = 0.10(0.60x +300) = 0.06x +30

Where x is the number of ice cream bars sold, the withholding is ...

  W(x) = 0.06x +30

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Name the rule and find the next two numbers in the pattern 10,70,490
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Each of the numbers 10, 70 and 490 is separated from the next by a factor of 7.  10 times 7 is 70; 70 times 7 is 490; 7 times 490 is what?  7 times 7 times 490 is what?
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Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method. 1. Determine
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Answer:

Step-by-step explanation:

The given equations are:

-9.5x – 2.5y = –4.3                    (1)

and 7x + 2.5y = 0.8                  (2)

Adding equation (1) and (2) together, we get

-9.5x-2.5y+7x+2.5y=-4.3+0.8

⇒-2.5x=-3.5

⇒x=1.4

Now, substitute the value of x=1.4 in equation (1),

-9.5(1.4)-2.5y=-4.3

⇒-13.3-2.5y=-4.3

⇒-13.3+4.3=2.5y

⇒-9=2.5y

⇒y=-3.6

Thus, the value of x and y are 1.4 and -3.6 respectively.

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3 years ago
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Which of these characteristics does a rhombus have
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Step-by-step explanation:

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Solve 4|x + 5| + 8 = 24.
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2 years ago
A car is travelling at exactly 6 miles per hour and accelerates at a constant rate to exactly 65 miles per hour.
vichka [17]

Answer:

14878.04878miles/hours^2

Step-by-step explanation:

Let's find a solution by understanding the following:

The acceleration rate is defined as the change of velocity within a time interval, which can be written as:

A=(Vf-Vi)/T where:

A=acceleration rate

Vf=final velocity

Vi=initial velocity

T=time required for passing from Vi to Vf.

Using the problem's data we have:

Vf=65miles/hour

Vi=6miles/hour

T=14.8seconds

Using the acceleration rate equation we have:

A=(65miles/hour - 6miles/hour)/14.8seconds, but look that velocities use 'hours' unit while 'T' uses 'seconds'.

So we need to transform 14.8seconds into Xhours, as follows:

X=(14.8seconds)*(1hours/60minutes)*(1minute/60seconds)

X=0.0041hours

Using X=0.0041hours in the previous equation instead of 14.8seconds we  have:

A=(65miles/hour - 6miles/hour)/0.0041hours

A=(61miles/hour)/0.0041hours

A=(61miles)/(hour*0.0041hours)

A=61miles/0.0041hours^2

A=14878.04878miles/hours^2

In conclusion, the acceleration rate is 14878.04878miles/hours^2

7 0
3 years ago
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