What is 55+84=n+76 answer

Violet contributes 12% of her $55,700 annual salary to her 401(k) plan. What is her pretax income?

NikAS [45]

You have that:

- Her contribution from her salary <span>to her 401(k) plan, </span>is: 12%.
- Her annual salary is: $55,700.

Then, to solve this problem and calculate her pretax income, you must following the steps below:

1. You must calculate the amount that Violet contributed to her 401(k) plan. So, you have:

12%/100=0.12

($55,700x0.12)=$6,684

2. Now, you must subtract her annual pay ($55,700) by the amount obtained ($6,684), as below:

Pretax income= $55,700-$6,684
<span> Pretax income=$49,016
</span><span>
What is her pretax income?

The answer is: Her pretax income is </span>$49,016

7 0

3 years ago

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Round 6,703.58 to the nearest tenth

strojnjashka [21]

The tenth place is the number on the right of the decimal which is

6703.58

So to round to the nearest tenth, look at the number before it, which is 8. The rule for rounding: 5+ = round up, 4 or less = keep as same number

8 is a number that is 5+ so we round 5 (number in the tenths place) up one number

6703.6

5 0

2 years ago

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Bruno's Bakery uses 4/9 of a barrel of raisins each day. Cosmo's Bakery uses 6/5 as many raisins as Bruno's Bakery. How many bar

alexgriva [62]

First of 3/7 of a week is 3 days because there are 7 days in a week e out of seven so you get it?

1. The question is asking you how much barrels of raisins is used in three days but first you need to find out how much they use in 1 day (this is how I would do it) so turn all the fractions into a decimal

4/9 = 0.4444...
6/5= 1.20
3/7= 0.43

So now you got your decimals

2. Multiply 0.4444 by 1.20 now you got how much you get a day for cosmos bakery which is 0.53

3. Now go back to the 3/7 of a week which is 3 days and now you need to multiply 0.53 by 3 and you will get your answer

ANSWER!

1.59 a day for cosmos bakery

I HOPE THIS HELPED YOU TO SOLVE THIS PROBLEM AND SOME FUTURE ONES!

8 0

3 years ago

Jacob transformed quadrilateral FGHJ to F'G'H'J'.

Rudik [331]

Answer:

A. Reflection across the line x = 1

Step-by-step explanation:

Please find the attachment.

We have been given that Jacob transformed quadrilateral FGHJ to F'G'H'J'. We are asked to find which transformation Jacob used to reflect FGHJ to F'G'H'J'.

Since we know that while reflecting a figure, the line of reflection will lie between the original figure and reflected figure. Each point of the reflected figure will have the same distance from the line of reflection as the corresponding point of the original figure.

Now let us see our given choices one by one.

A. Reflection across the line x = 1.

Upon looking at point G and G' we can see that both points are equidistant (2 units) from the line x=1. Other corresponding points of both quadrilaterals are also equidistant from line x=1, therefore, Jacob used the reflection across the line x=1 to transform quadrilateral FGHJ to F'G'H'J'.

B. Reflection across the line y = 1 .

If Jacob had reflected quadrilateral across line y=1, the points of quadrilateral F'G'H'J' will lie in second and third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option B is not a correct choice.

C. Reflection across the line y-axis.

If Jacob had reflected quadrilateral across y-axis, the coordinates of points of quadrilateral F'G'H'J' will be G'(1,4), H'(1,2), J'(4,0) and F'(2,5). Therefore, option B is not a correct choice.

D. Reflection across the x -axis.

If Jacob had reflected quadrilateral across x-axis, the points of quadrilateral F'G'H'J' will lie in third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option D is not a correct choice.

3 0

2 years ago

A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur

Paraphin [41]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

$H_0: \mu = 16$

At the alternative hypothesis, it is tested if the mean is different, hence:

$H_1: \mu \neq 16$

<h3>What is the test statistic?</h3>

The test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the population.

n is the sample size.

The parameters for this problem are:

$\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150$ .

Hence:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}$

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

3 0

1 year ago