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3 years ago

A small accounting firm has 4 accountants who each earn

Mathematics

1 answer:

solniwko [45]3 years ago

7 0

Answer:

Both the mean and median will decrease, but the

median will decrease by more than the mean

Step-by-step explanation:

The mean is an expression giving to the average earning of the Accountants.

Average defined is total earnings divided by total Accountants hired.

When they were 4 in number and earned between $50,000 to $60,000.

One can assume the average is the mid range of this number or worked out as [($50,000 x 2) + ($60,000 x 2)] divided by 4

= 220,000 / 4 = $55,000

When the 5th Accountant was hired, because he earns very low compared to the others; the average will decline thus:

= (220,000 + $10,000) divided by 5 = $46,000

Whereas the Median would have fallen sharply from $55,000 to $35,000.

That is; ($60,000 + $10,000)/2 = $35,000

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A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o

ladessa [460]

X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%? well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution? well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that? well, (20/100) * 10, or 2 liters.

$\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}$

$\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}$

how much of the 40% solution? well y = 10 - x

3 0

4 years ago

I need a long essay about may the bridges i burn light the way

aivan3 [116]

Answer:

I will let it lead me down the paths ahead of me. I never in my life thought that Dylan McKay would be a major influence on my growth as a person. But that's the way it seems to be going right now. So wish me luck, and may the bridges I've burned light the way.

this is not that long but I tried

6 0

3 years ago

Question 7 PLEASE HELP Describe the transformation from the graph of f(x) =x to the graph of g(x)=1/5x+4 A: The transformations

Elis [28]

Answer:

A: The transformations are a rotation and a translation.

Step-by-step explanation:

The function f(x) is shown in the attachment as a dashed red line. The function g(x) is shown as the blue line.

The two lines have different slopes. The change in slope can be accomplished by horizontal or vertical scaling, or by rotation. The offered answer choices only include rotation as an option for changing the slope.

The two lines have different intercepts. To move the line from one intercept to another, generally translation is involved.

The simplest transformation is rotation and translation.

_____

Comment on the answer choices

If the reflection is done across a line other than an axis, or if the rotation is done about a point other than the origin, then any combination of rotation, reflection, and translation can be used to make the transformation seen. (Translation alone is not sufficient.)

For example, reflecting the line across the bisector of the angle between the lines (a line with a slope of (√13 -2)/3 through (5, 5)) will give the desired transformation in one step.

Similarly, a rotation of about 33.69° about the point (5, 5) will give the transformation in on step. (That angle is 45°-arctan(1/5).)

7 0

3 years ago

Write a polynomial equation of degree 4 in standard form that has the solutions i, −i, 1, −1.

Brut [27]

Answer:

x⁴ + 2 x² + 1

Step-by-step explanation:

given solution of the polynomial

i, −i, 1, −1.

equation of the polynomial will be equal to

=(x - i)(x + i)(x - 1)(x + 1)

= (x² + i x - i x - i²)(x² + x - x + 1)

=(x² - (-1))(x² + 1 )

= (x² + 1)(x² + 1)

= x⁴ + x² + x² + 1

= x⁴ + 2 x² + 1

hence, the required polynomial equation is x⁴ + 2 x² + 1

4 0

3 years ago

Round 90608.5881594 to 1 decimal place

zalisa [80]

90608.6 is the answer

 Remember if the number after this line is less than 5 round down, or round up if the number is 5 or above.

8 0

4 years ago

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