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STatiana [176]
2 years ago
7

An entry level web developer's annual pay is $55,640 based on 52 weeks per year. Due to the economy, his company is having to cu

t back on the number of weeks that it employs its web developers. If the firm cuts the work year to 49 weeks but keeps the same rate of pay, how much should the web developer expect his annual pay to decrease? Round your answer to the nearest dollar.
Mathematics
1 answer:
katen-ka-za [31]2 years ago
5 0

Answer:

Reduction = \$3300

Step-by-step explanation:

Given

Pay\ for\ 52\ weeks = \$55,640

Required

Determine the reduction when paid is reduced to 49 weeks

First, we need to determine the weekly pay

Weekly\ Pay = \frac{\$55,640}{52}

Weekly\ Pay = \$1070

Next, is to determine the pay for 49 weeks;

Pay = Weekly\ Pay * 49

Pay = \$1070 * 49

Pay = \$52430

Subtract the 49 week pay from 52 weeks pay to get the payment reduction;

Reduction = \$55640 - \$52340

Reduction = \$3300

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B is the center of a circle of radius 1.  A and C are on the circle 100 degrees apart.  So arc AC is 100 degrees.  Arc AC the long way around is 360-100=260 degrees.   That means any point D on arc AC will subtend a 130 degree angle.  BD is a radius for all of those, and the radius is 1.

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2 years ago
Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub
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Answer:

4. 54- 8.5x>20

Step-by-step explanation:

Catherine only has $54, so she cannot spend more than that.

The canvas will cost at least $20, but we don't know how much exactly.

The tubes cost $8.50 each.

So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.

So, we transpose those facts into the inequity:

54 - 8.5x > 20

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Mr. Phillips is mixing paint for his art class. How many 6-ounce bottles can he fill with the quantities of paint shown at the r
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Twelve more than the product of a number and four is fewer than 60.
valina [46]
Product of a number and four is 4x 
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2 years ago
A marketing firm wants to estimate how much root beer the average teenager drinks per year. A previous study found a standard de
Verdich [7]

Answer:

At least 832 teenargers must be interviewed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many teenagers must the firm interview in order to have a margin of error of at most 0.1 liter when constructing a 99% confidence interval

At least n teenargers must be interviewed.

n is found when M = 0.1.

We have that \sigma = 1.12

So

M = z*\frac{\sigma}{\sqrt{n}}

0.1 = 2.575*\frac{1.12}{\sqrt{n}}

0.1\sqrt{n} = 2.575*1.12

\sqrt{n} = \frac{2.575*1.12}{0.1}

(\sqrt{n})^{2} = (\frac{2.575*1.12}{0.1})^{2}

n = 831.7

Rounding up

At least 832 teenargers must be interviewed.

4 0
2 years ago
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