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xenn [34]
4 years ago
11

You purchase an item to sell in your store. The item costs you $6.45. You mark the item up 20%, but later run the item on sale a

t 5% off the marked price.If your customer must pay 6% sales tax, what will be the total amount paid by the customer for the item?
Mathematics
1 answer:
baherus [9]4 years ago
7 0
You mark it up 20% Price + 20% = p + 20/100p = p (1 + 0.20 ) = 1.2 p 
6.45 * 1.2 = 7.74

You take off 5% which by the same reasoning (almost) means p/1.05
7.74 / 1.05 = 7.37

Now you need a sales tax
7.37 * 1.06 = 7.81 dollars.

Answer: The customer paid 7.81 <<<<=====
 
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A forest covers 46,000 acres. A survey finds that 0.6​% of the forest is​ old-growth trees. How many acres of​ old-growth trees
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Answer: 275 maybe

Step-by-step explanation: i did 46,000 x 0.6% and got 275.

5 0
3 years ago
Consider the graph of the linear function h(x) = –x + 5. Which could you change to move the graph down 3 units?
Feliz [49]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}&#10;\\ \quad \\\\&#10;% left side templates&#10;\begin{array}{llll}&#10;f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}&#10;\\ \quad \\&#10;y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}&#10;\\ \quad \\&#10;f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}&#10;\\ \quad \\&#10;f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}&#10;\\ \quad \\&#10;f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}&#10;\end{array}\\\\&#10;--------------------\\\\

\bf \bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\&#10;\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\&#10;\left. \qquad   \right.  \textit{reflection over the x-axis}&#10;\\\\&#10;\bullet \textit{ flips it sideways if }{{  B}}\textit{ is negative}\\&#10;\left. \qquad   \right.  \textit{reflection over the y-axis}

\bf \bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\&#10;\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\&#10;\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\&#10;\bullet \textit{ vertical shift by }{{  D}}\\&#10;\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\&#10;\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\&#10;\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

with that template in mind, let's see

\bf h(x)=-x+5\implies h(x)=\stackrel{A}{-1}(\stackrel{B}{1}x\stackrel{C}{+0})\stackrel{D}{+5}

a shift down by 3 units, means a vertical shift downwards, so D needs to drop by 3 units.

\bf h(x)=\stackrel{A}{-1}(\stackrel{B}{1}x\stackrel{C}{+0})\boxed{\stackrel{D}{+5-3}}\implies h(x)=-1(1x+0)+2&#10;\\\\\\&#10;h(x)=-x+2
4 0
3 years ago
Match the justifications for each step in order to prove the Alternate Interior Angles Theorem. Note that lines p and q are para
Alex_Xolod [135]

Answer:

Option (3)

Step-by-step explanation:

There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.

Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.

Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.

Since, alternate interior angles are equal in measure,

∠2 ≅ ∠6

∠3 ≅ ∠7

Option (3) will be the answer.

6 0
3 years ago
Y-x=4 and x is three times the value of y, what is the value of x+y?
slega [8]

Answer:

x+y=-8

Step-by-step explanation:

y-x=4

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y-3y=4

x=3y

-2y=4

x=3y

y=4/(-2)

x=3y

y=-2

x=3*(-2)

x=-6, y=-2 then

x+y=-6-2=-8

6 0
3 years ago
Too much to type!! So here is a photo instead
klasskru [66]

Answer:

<em><u>9 months</u></em>

Step-by-step explanation:

1. write out equation

100 + 22x = 298

2. Subtract 100 from both sides

22x = 198

3. Divide 22 from each side

198/22 = 9

<em>hence, Katrina will pay off the sofa in 9 months.</em>

have a great day! :)

7 0
3 years ago
Read 2 more answers
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