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Marrrta [24]
3 years ago
5

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

in excess of 11000 and up to 43000 taxed at a rate of 20%. earnings in excess of 43000 and up to 150000 taxed at a rate of 40%. earnings over 150000 taxed at a rate of 45%. last year carys earned 45600 before tax .how much tax did she pay in total?
Mathematics
2 answers:
Zanzabum3 years ago
8 0

Answer:

total amount of tax paid by Carys is $7,440.

Step-by-step explanation:

<em>From the  given question, Let us recall the following,</em>

<em>The no of tax on first earnings =11000</em>

<em>The earnings in excess of 1100 and up to 43000 taxed at a rate of =20%</em>

<em>the earnings in excess of 4300 and up to 150000 taxed at a rate of 40%</em>

<em>The earnings over 150000 taxed at a rate of = 45%</em>

<em>Now,</em>

<em>Recall that,</em>

<em> The rates of tax is as follows: </em>

<em> $0-$11,000 = no tax. </em>

<em> $11,000-$43,000 = 20%. </em>

<em> $43,000-$150,000 = 40%. </em>

<em> The earnings over $150,000 = 45%. </em>

<em> During the past  year Carys earned $45,600, </em>

<em>The next step is  to find the tax paid by Carys for 11,000-43,000 at rate of 20%, after that we find  the tax for amount over 43,000 at the rate of 40%.</em>

<em>The tax  amount paid by Carys for 11000-43000  is = 0.20 * (32000)</em>

<em>The amount of tax paid by Carys for 11000-43000 = 6400</em>

<em>Then</em>

<em>The amount of tax paid by Carys for the amount over 43000 = 40/100 (45,600-43000)</em>

<em>The amount of tax paid by Carys for the amount over 43000 is = 0.40 *(2600)</em>

<em>The amount of tax paid by Carys for the amount over 43000 = 1040</em>

<em>Therefore, </em>

<em>The total amount  of tax paid by Carys is =6400+1040</em>

<em>which is =7440</em>

<em />

<em />

<em />

faust18 [17]3 years ago
6 0

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.

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Answer:

There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1432

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Alpha, α = 0.05

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First, we design the null and the alternate hypothesis  

H_{0}: p = 0.23\\H_A: p < 0.23

This is a one-tailed test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{321}{1432} =0.2241

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

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P-value = 0.298

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

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Step-by-step explanation:

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