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vladimir2022 [97]
3 years ago
11

Jorgensen Company has sales of $380,000,000, and the break-even point in sales dollars is $323,000,000. Determine Jorgensen Comp

any’s margin of safety as a percent of current sales
Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Answer:

1) a. break even point in units = fixed cost / contribution margin                                                   = 1,750,000 / 5                                                  = 350,000 units

Step-by-step explanation:

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Seventeen more than five times a number is negative twenty three. What is the number?
EastWind [94]
5x+17=-23
Subtract 17 on both sides
5x=-40
Divide by 5 on both sides
X=-8
Double Check:
5(-8)+17=-23
-40+17=-23
-23=-23
6 0
4 years ago
Write an equation for the line parallel to the given line that contains C. <br> C (1,8); 5/7x + 7
Genrish500 [490]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = 5/7x + 51/7}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Goes through (1, 8) and is parallel to y = 5/7x + 7}

Find:  \textsf{Write an equation that follows that criteria}

Solution: We know that our equation is going to parallel to the line that was given therefore the slope would stay the same at 5/7.  We also have a point so we can plug in the values into the point-slope form, distribute, and solve for y.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - 8 = 5/7(x - 1)}

<u>Distribute</u>

  • \textsf{y - 8 = (5/7 * x) + (5/7 * (-1))}
  • \textsf{y - 8 = 5/7x - 5/7}

<u>Add 8 to both sides</u>

  • \textsf{y - 8 + 8 = 5/7x - 5/7 + 8}
  • \textsf{y = 5/7x - 5/7 + 8}
  • \textsf{y = 5/7x + 51/7}

Therefore, the final equation that follows the description that was provided in the problem statement is y = 5/7x + 51/7.

4 0
2 years ago
Explain if the combination of iron and copper sulfate is an example of a chemical reaction
zysi [14]

Answer:

Yes it is.

Step-by-step explanation:

When we mix Fe(iron) to CuSO⁴ (Copper sulphate), Iron removes copper from CuSO⁴ and makes FeSO⁴. This happens because iron is more reactive than copper. We cannot remove iron from this solution now until any stronger element is added.

6 0
3 years ago
Read 2 more answers
_+3=-9 pls help I will give branlyiest <br>​
lions [1.4K]
Answer:

-12

Step-by-step explanation:

? + 3 = -9

Subtract 3 from -9

-9 - 3 = -12

? = -12
7 0
3 years ago
Prove that.<br><br>lim Vx (Vx+ 1 - Vx) = 1/2 X&gt;00 ​
faltersainse [42]

Answer:

The idea is to transform the expression by multiplying (\sqrt{x + 1} - \sqrt{x}) with its conjugate, (\sqrt{x + 1} + \sqrt{x}).

Step-by-step explanation:

For any real number a and b, (a + b)\, (a - b) = a^{2} - b^{2}.

The factor (\sqrt{x + 1} - \sqrt{x}) is irrational. However, when multiplied with its square root conjugate (\sqrt{x + 1} + \sqrt{x}), the product would become rational:

\begin{aligned} & (\sqrt{x + 1} - \sqrt{x}) \, (\sqrt{x + 1} + \sqrt{x}) \\ &= (\sqrt{x + 1})^{2} -(\sqrt{x})^{2} \\ &= (x + 1) - (x) = 1\end{aligned}.

The idea is to multiply \sqrt{x}\, (\sqrt{x + 1} - \sqrt{x}) by \displaystyle \frac{\sqrt{x + 1} + \sqrt{x}}{\sqrt{x + 1} + \sqrt{x}} so as to make it easier to take the limit.

Since \displaystyle \frac{\sqrt{x + 1} + \sqrt{x}}{\sqrt{x + 1} + \sqrt{x}} = 1, multiplying the expression by this fraction would not change the value of the original expression.

\begin{aligned} & \lim\limits_{x \to \infty} \sqrt{x} \, (\sqrt{x + 1} - \sqrt{x}) \\ &= \lim\limits_{x \to \infty} \left[\sqrt{x} \, (\sqrt{x + 1} - \sqrt{x})\cdot \frac{\sqrt{x + 1} + \sqrt{x}}{\sqrt{x + 1} + \sqrt{x}}\right] \\ &= \lim\limits_{x \to \infty} \frac{\sqrt{x}\, ((x + 1) - x)}{\sqrt{x + 1} + \sqrt{x}} \\ &= \lim\limits_{x \to \infty} \frac{\sqrt{x}}{\sqrt{x + 1}+ \sqrt{x}}\end{aligned}.

The order of x in both the numerator and the denominator are now both (1/2). Hence, dividing both the numerator and the denominator by x^{(1/2)} (same as \sqrt{x}) would ensure that all but the constant terms would approach 0 under this limit:

\begin{aligned} & \lim\limits_{x \to \infty} \sqrt{x} \, (\sqrt{x + 1} - \sqrt{x}) \\ &= \cdots\\ &= \lim\limits_{x \to \infty} \frac{\sqrt{x}}{\sqrt{x + 1}+ \sqrt{x}} \\ &= \lim\limits_{x \to \infty} \frac{\sqrt{x} / \sqrt{x}}{(\sqrt{x + 1} / \sqrt{x}) + (\sqrt{x} / \sqrt{x})} \\ &= \lim\limits_{x \to \infty}\frac{1}{\sqrt{(x / x) + (1 / x)} + 1} \\ &= \lim\limits_{x \to \infty} \frac{1}{\sqrt{1 + (1/x)} + 1}\end{aligned}.

By continuity:

\begin{aligned} & \lim\limits_{x \to \infty} \sqrt{x} \, (\sqrt{x + 1} - \sqrt{x}) \\ &= \cdots\\ &= \lim\limits_{x \to \infty} \frac{\sqrt{x}}{\sqrt{x + 1}+ \sqrt{x}} \\ &= \cdots \\ &= \lim\limits_{x \to \infty} \frac{1}{\sqrt{1 + (1/x)} + 1} \\ &= \frac{1}{\sqrt{1 + \lim\limits_{x \to \infty}(1/x)} + 1} \\ &= \frac{1}{1 + 1} \\ &= \frac{1}{2}\end{aligned}.

8 0
3 years ago
Read 2 more answers
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