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torisob [31]
4 years ago
7

Adrian lives and works in Georgia. He earns a gross income of $1,600 each month but gets a net income of $1,224.65. His employer

deducts the following taxes from his pay:
Tax collected for the IRS = $207.40
Tax collected for the state of Georgia = $68.75
Tax collected for Social Security, Medicare, and Medicaid = $99.20

Write the amount of tax next to the appropriate tax type in Adrian’s pay stub.

Mathematics
2 answers:
Rashid [163]4 years ago
5 0

they take out $438.35 of taxes.


WITCHER [35]4 years ago
4 0

Answer:

Current II year to date

99.20 II 99.20

207.40 II 207.40

68.75 II 68.75

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olga2289 [7]

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

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Then in our case, the vertex is at:

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The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

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2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

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df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

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So the maximum height is at t = 1

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Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

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