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MakcuM [25]
2 years ago
5

Heather paid $2,022.30 for a computer. If the price paid includes a 7% sales tax, which if the following equation can be used to

determine the price of the computer after tax?
(Let x represent the cost of the computer and y represent the total cost after tax.)

Mathematics
2 answers:
Yuliya22 [10]2 years ago
4 0

Answer:

D)y=1.07x

Step-by-step explanation:

The Total cost, price plus taxes, will given by

1) Dividing the tax 7 by 100, and write it in its decimal form:

\frac{7}{100}=0.07

2) Add the number 1, and make it a constant

0.07+1=1.07 \Rightarrow y=1.07x

This function fits to calculate the total cost after a 7% tax. In this case just plug $2,022.30 for x, then solve for y to have the total cost.

y=1.07(2,022.30)=\$2,163.86

andrey2020 [161]2 years ago
3 0

Answer:

B

Step-by-step explanation:

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Tresset [83]

Answer:

Step-by-step explanation:

Below is the rectangle in the attachment.

Current scale:

1 cm : 6 inches

If the dimensions of the rectangle is:

Length = a cm

Width = b cm

Using the scale:

Length = a × 6 inches

Width = b × 6 inches

Using the same dimensions of the rectangle is:

Length = a cm

Width = b cm

Using the scale:

Length = a × 12 inches

Width = b × 12 inches

Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.

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1 year ago
100 POINTS AND BRAINLIYEST!!!
Helga [31]

See explanations below

Step-by-step explanation:

Chanel

(i) 90° counterclockwise and then dilation by a factor of 1/2

Trapezoid PQRS is given as :

P(6,-4) -------P'(4,6)

Q(2,-2)------Q'(2,2)

R(2,-6)-------R'(6,2)

S(6,-6)-------S'(6,6)

The transformation switches the position of (x,y) to and adds a -ve sign to the original y value

B. The new coordinates are : P'(4,6), Q'(2,2),R'(6,2) and S'(6,6)

The  rule for rotation 90° counterclockwise about the origin is (x,y)⇒(-y,x)

The rule for dilation with scale factor of 1/2 is (x,y)------(1/2x,1/2y)

P'(4,6) -----P''(2,3)

Q'(2,2)-----Q''(1,1)

R'(6,2)-----R''(3,1)

S'( 6,6)-----S''(3,3)

The dilation reduces the coordinates by 1/2

Preston

E. (i)Reflection over x-axis where the rule is : (x,y)----(x,-y)

(ii)Dilation by scale factor of 1/2 the rule is : (x,y)---(1/2x, 1/2y)

Applying reflection over x-axis rule;

P(6,-4) -----P'(6,4)

Q(2,-2)-----Q'(2,2)

R(2,-6)------R'(2,6)

S(6,-6)------S'(6,6)

The coordinates have changed in that a negative sign is added to the y-axis coordinate.

F. P'(6,4), Q'(2,2), R'(2,6) and S'(6,6)

G. Applying the dilation by scale factor of 1/2

P'(6,4)-------P''(3,2)

Q'(2,2)------Q''(1,1)

R'(2,6)------R''(1,3)

S'(6,6)------S''(3,3)

The coordinates of P'Q'R'S are divide by 2 to give coordinates of P''Q''R''S''

Comparing the answers to the final figure given

K(3,2)

L(1,1)

M(1,3)

N(3,3)

Preston is correct because his sequence proves trapezoid PQRS is similar to trapezoid KLMN.

Learn More

Reflection and dilation :brainly.com/question/13408902

Keywords :trapezoid, maps, rotate, counterclockwise, dilate,reflect,scale factor,shape, coordinate

#LearnwithBrainly

4 0
2 years ago
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In one of its Spring catalogs, L.L. Bean® advertised footwear on 28 of its 192 catalog pages. Suppose we randomly survey 20 page
vichka [17]
100 easy os it correct
8 0
1 year ago
A barrel of crude oil contains about 5.61 cubic feet of oil. How many barrels of oil contained in 1 mile (5280 feet) of a pipeli
8_murik_8 [283]
1)volume of the  pipeline

The pipeline is a cylinder, therefore;
Volume (cylinder)=πr²h
r=radius
h=height of the cylinder

diameter=6 in*(1 ft / 12 in)=0.5 ft
raius=diameter / 2=0.5 ft / 2=0.25 ft.
height=5280 ft

Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.


2) we calculate the number of barrel
1 mile of oil in this pipeline is 330π ft³ of oil.

1 barrel of crude------------------5.61 ft³
x----------------------------------330π ft³

x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels

3) we calculate the price.

1 barrel---------------$100
184.8 barrels----------  x

x=(184.8 barrels * $100) / 1 barrel=$18,480

Solution: ≈$18,480
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2 years ago
The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + b over a ti
Nostrana [21]

Answer:

x + \frac{b}{2a} =  \frac{+/ -  \sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

<u><em>Step 1:</em></u>

ax^2+bx+c = 0

<u><em>Step 2:</em></u>

ax^2+bx = -c

<u><em>Step 3:</em></u>

\frac{ax^2+bx}{a} = \frac{-c}{a}

<u><em>Step 4:</em></u>

Adding \frac{b^2}{4a^2} to both sides to complete the square

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}

<u><em>Step 5:</em></u>

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-4ac+b^2}{4a^2}

<u><em>Step 6:</em></u>

Taking square root on both sides

x + \frac{b}{2a} =  \frac{+/ -  \sqrt{b^2-4ac} }{2a}

3 0
1 year ago
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