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Inessa [10]
2 years ago
8

You buy a new laptop for $300. The sales tax is 6%. What is the total cost for the laptop including the sales tax?

Mathematics
1 answer:
ladessa [460]2 years ago
6 0

Answer: Total cost incurred on new laptop is $318.

Explanation:

Since we have given that

Cost price of new laptop = $300

Sales tax = 6%

total cost of laptop including the sales tax is given by

Cost\times \frac{100+\text{ sales tax}}{100}

so,

\text{ Cost price including the sales tax }\\\\=300\times \frac{100+6}{100}\\\\=300\times \frac{106}{100}\\\\=\$318

So, total cost incurred on new laptop is $318.

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The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent decrease in the fee?
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Answer:

The answer is c

Step-by-step explanation:

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3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from p
Marrrta [24]

Answer:

The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer

Step-by-step explanation:

* <em>Lets explain the meaning of the vertical angles</em>

- Vertical angles are the angles opposite to each other when two lines

  are intersected

- The vertical angle are equal in measures

- <em>Look to attached figure which represents the lines </em>

∵ Line TW intersects line SV at R

∴ ∠ WRV and ∠ SRT are vertical angle

∴ <u><em>∠ WRS and ∠ VRT</em></u> are vertical angle

∵ RU is between the rays of angle VRW

∴ RU intersects the lines TW and SV at R

∴ No vertical angles between RU and the other two lines because

  it intersects them its endpoint R

* <em>Now lets look to the answer to chose the right one</em>

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- <em><u>∠ WRS and ∠ VRT are vertical angles </u></em>

- ∠ VRU and ∠ TRS are not vertical angles

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4 0
2 years ago
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point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). what is the point of B?
irina [24]

Answer:

  B = (7, 2)

Step-by-step explanation:

B = 2M -A

B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)

B = (7, 2)

_____

The expression for the other end point, B, comes from the equation for the midpoint.

  M = (A +B)/2

  2M = A + B . . . . . multiply by 2

  2M -A = B . . . . . . subtract A to get an expression for B

4 0
2 years ago
Find the area of quadrilateral ABCD. Round the area to the nearest whole number, if necessary. A(-5, 4) 4 B(0, 3) 2. F(-2, 1) -2
valentina_108 [34]

Answer:26

Step-by-step explanation:

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2 years ago
Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi
miss Akunina [59]

Answer:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

Step-by-step explanation:

1st boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

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Equation:

y=ax^2 -2ax+c

The y-coordinate of the vertex:

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Parabola equation:

y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}

2nd boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0

Equation:

y=ax^2+c

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a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7

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