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2 years ago

13

Simplify 5a-4b=2[a-(2b+c)]

1 answer:

Agata [3.3K]2 years ago

4 0

The answer is - 2c/3

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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

2 years ago

Read 2 more answers

Will mark 5 stars

lyudmila [28]

R is also known as the correlation coefficient. Hence your statement is ...
B. False

8 0

2 years ago

Problem #1 HELP SHOW WORK PLS

OLEGan [10]

Answer: 30 degrees

Step-by-step explanation:

Corresponding angles of similar triangles are congruent.

5 0

1 year ago

Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili

3241004551 [841]

Answer:

$P(p>0.43) = 0.0436$

Step-by-step explanation:

Given

$p = 40\%$ -- proportion of baseball players

$n = 781$ --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

$Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

This gives:

$Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}$

Convert % to decimal

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}$

$Z = \frac{0.03}{\sqrt{0.00030729833}}$

$Z = \frac{0.03}{0.01752992669}$

$Z = 1.71$

So:

$P(p>0.43) = P(Z>1.71)$

$P(p>0.43) = 1 - P(Z$

$P(p>0.43) = 1 - 0.9564$

$P(p>0.43) = 0.0436$

5 0

2 years ago

Yianni typed a 36-word paragraph in 2/3 of a minute<br> what is her typing speed in words per minute

elena-s [515]

I think it would be 54 words per minute

36÷2=18 which is 1/3 of a minute so we multiply 18 by 3 to get how many words in one minute, 18×3=54

4 0

3 years ago