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Dvinal [7]
3 years ago
11

A digital camera for 249.99 at 4% sales tax

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0
First round up 249.99 to 250.00

Then change the 4% into a decimal= 1.04 

Now multiply so the equation is= 250 x 1.04 =

$260 as your answer!

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3/4(5x - 3) + 8 = 17. <br>​
Olin [163]

Answer:

x=3

Step-by-step explanation:

8 0
3 years ago
If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
MrMuchimi
After plotting the quadrilateral in a Cartesian plane, you can see that it is not a particular quadrilateral. Hence, you need to divide it into two triangles. Let's take ABC and ADC.

The area of a triangle with vertices known is  given by the matrix
M = \left[\begin{array}{ccc} x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right]

Area = 1/2· | det(M) |
        = 1/2· | x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃ |
        = 1/2· | x₁·(y₂ - y₃) + x₂·(y₃ - y₁) + x₃·(y₁ - y₂) |

Therefore, the area of ABC will be:
A(ABC) = 1/2· | (-5)·(-5 - (-6)) + (-4)·(-6 - 7) + (-1)·(7 - (-5)) |
             = 1/2· | -5·(1) - 4·(-13) - 1·(12) |
             = 1/2 | 35 |
             = 35/2

Similarly, the area of ADC will be:
A(ABC) = 1/2· | (-5)·(5 - (-6)) + (4)·(-6 - 7) + (-1)·(7 - 5) |
             = 1/2· | -5·(11) + 4·(-13) - 1·(2) |
             = 1/2 | -109 |
<span>             = 109/2</span>

The total area of the quadrilateral will be the sum of the areas of the two triangles:

A(ABCD) = A(ABC) + A(ADC) 
               = 35/2 + 109/2
               = 72
8 0
3 years ago
Solve for x <br>x- 2x (12 - 1/2) =2 (4-2x) +20<br>A.-14/9<br>B.-9/14<br>C.14/9<br>D.9/14​
MrMuchimi

Answer:

A

Step-by-step explanation:

-22x=-4x+28

-18x=28

x=-28/18=-14/9

7 0
2 years ago
Which one is it A B or c
sveticcg [70]

Answer:

c

Step-by-step explanation:

d=2r=2X3=6

8 0
3 years ago
Find 2 integers whose sum is -7 and whose product is 1.2
RSB [31]
X = - 7 - y ( - 7 - y ) y = 12y = - 3 or y = - 4x = - 7 - ( - 3) or x = - 7 - ( - 4)( - 4, - 3)( - 3, - 4)
7 0
3 years ago
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