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2 years ago

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Financial Literacy Quiz Question 2

2 answers:

lesya [120]2 years ago

8 0

Answer:

The amount of income tax is $9127.50 or 912750 cents :)

Step-by-step explanation:

Amount of annual income = $152,125

Rate of income tax = 6%

So, the amount of income tax in dollars

= 6% of $152,125

= (6/100 x 152,125) = 9,127.50

Lena [83]2 years ago

4 0

$9127.50 that’s the answer for the question

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The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

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3 years ago

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Which property or postulate is shown? If A=B and B=C, then A=C.

podryga [215]

This is the transitive property :)

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3 years ago

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If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p circle q) (x)?

mamaluj [8]

Answer:

2x^2 - 16x + 30

Step-by-step explanation:

Here, we want to get the composite function;

p•q(x)

All we have to do here is to replace the x value in p(x) by the totality of q(x)

we have this as ;

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

= 2(x^2 -6x + 9) - 4(x-3)

= 2x^2 -12x + 18 -4x + 12

= 2x^2 - 16x + 30

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2 years ago

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Ulleksa [173]

This would be 11.83 I hope you pass your test/quiz :)

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2 years ago

Bezzdna [24]

Answer:

2

Step-by-step explanation:

Well you should count with fingers, one finger and one finger, two fingers

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