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3 years ago

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John's gross monthly salary is $2,000 starting next month, John receives a 15% raise power month. also starting next month, 30%

of his monthly paycheck is withheld for taxes. what will John's net monthly income be next month, after adding the raise and deducting taxes.

1 answer:

timama [110]3 years ago

5 0

John's gross monthly salary is $2000.

John receives a 15% raise in his salary.

So first we have to find 15% of $2000.

15% of 2000 = $(2000)(\frac{15}{100})$

= $\frac{(2000)(15)}{100}$

= $\frac{30000}{100}$

= $300$

John's salary including the raise = $ $(2000+300)$ = $2300.

Now 30% of his monthly paycheck withheld for taxes.

30% of 2300 = $(2300)(\frac{30}{100})$

= $\frac{(2300)(30)}{100}$

= $\frac{69000}{100}$

= $690$

So the amount of tax deducted = $690.

John's net monthly income = $ $(2300-690)$ = $1610.

So we have got the required answer.

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A cube has a volume of 64. What is the length of one side of the cube?

bearhunter [10]

Answer:

4

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

The cube root of a number is the number you multiply by itself 3 times to get another number.
One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

1: 1 x 1 x 1 = 1.
2: 2 x 2 x 2 = 8.
3: 3 x 3 x 3 = 27.
4: 4 x 4 x 4 = 64. (This is the cube root!)

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0

2 years ago

Express 0.55% a precent

cupoosta [38]

0.55%*100 = 55% is the answer

4 0

3 years ago

Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp

aleksklad [387]

Answer:

95.44% probability the resulting sample proportion is within .04 of the true proportion.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sampling distribution of the sample proportion in sample of size n, the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

$p = 0.2, n = 400$

So

$\mu = 0.2, s = \sqrt{\frac{0.2*0.8}{400}} = 0.02$

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16.

X = 0.24

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.24 - 0.2}{0.02}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772.

X = 0.16

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.16 - 0.2}{0.02}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

95.44% probability the resulting sample proportion is within .04 of the true proportion.

6 0

3 years ago

Read 2 more answers

What is the verbal expression for 15+r

exis [7]

Your answer is going to be fifteen plus r

5 0

3 years ago

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5/3÷7=_____<br>Answer in a fraction form<br><br>PLZ HELP

vfiekz [6]

Answer:

5/21

Step-by-step explanation:

5/3/7=?

so 5/3 *1/7=5/21

so 5/21 is your answer

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3 years ago