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3 years ago

You buy 3 bags of takis for $2.25 each. the sales tax is 8%. How much was the sales tax

Mathematics

1 answer:

aev [14]3 years ago

5 0

Answer:

0.54 is the sales tax.

Step-by-step explanation:

2.25 x 3 = 6.75

When trying to do percentages move the decimal place to the right 2 times.

6.75 x 0.08= 0.54.

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Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings

faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

$\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=0.20\times (32,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=6400$

$\text{The amount of tax paid by Carys for the amount over 43000}=\frac{40}{100}\times (45,600-43,000)$

$\text{The amount of tax paid by Carys for the amount over 43000}=0.40\times (2600)$

$\text{The amount of tax paid by Carys for the amount over 43000}=1040$

$\text{The total amount of tax paid by Carys}=6400+1040$

$\text{The total amount of tax paid by Carys}=7440$

Therefore, Carys paid an amount of $7,440 in tax.

6 0

3 years ago

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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

5 0

3 years ago

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A student answers 160 of 200 questions on an exam correctly. What percent of the questions did he answer correctly?

Alexandra [31]

Dive correct answers by total questions:

160/200 = 0.80

Multiply by 100 to get percent:

0.80 x 100 = 80%

5 0

3 years ago

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How does the speaker’s repetition of the neighbor’s cherished belief about the importance of walls (lines 27 and 45) convey the

Reptile [31]

Answer:

C The speaker describes the neighbor’s superstitious beliefs about elves in order to characterize him as uncivilized and misguided. The speaker describes the neighbor’s superstitious beliefs about elves in order to characterize him as uncivilized and misguided.

Step-by-step explanation:

This is likely the answer to the question asked.

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3 years ago

Anne is designing a shower for a client. The shower includes a triangular-shaped ledge for storage.

Mrrafil [7]

The answer is . (one [point] 4)

((Yes, its correct, checked and took an exam on it))

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3 years ago

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