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Novay_Z [31]
3 years ago
11

Elgin Battery Manufacturers had sales of $1,000,000 in 2015 and their cost of goods sold is $700,000. Selling and administrative

expenses were $100,000. Depreciation expense was $80,000 and interest expense for the year was $10,000. The firm's tax rate is 30 percent. What is the dollar amount of taxes paid in 2015?
Mathematics
1 answer:
arlik [135]3 years ago
4 0
First, determine the profit for a certain year by subtracting the total cost from the total revenue. 

Total revenue = $1,000,000

Total Cost = $700,000 + $100,000 + $80,000 + $10,000
  Total cost = $890,000

The revenue is calculated below,

     Revenue = $1,000,000 - $890,000
         R = $110,000

The tax is calculated by multiplying the revenue by the percentage given.

           Tax = ($110,000)(0.30)
           Tax = $33,000

Answer: $33,000

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Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use
Dmitrij [34]

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

  • (h, k) - Coordinates of the center.
  • r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

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8 0
1 year ago
For what value of x is the rational expression below undefined x-4/3x2-75
abruzzese [7]

The given expression is undefined when x = 5 OR x = -5

<h3>Undefined expression </h3>

From the question, we are to determine the value of x for which the given expression is undefined

The given expression is

x-4/3x²-75

An expression is undefined when the denominator equals zero

Thus, the expression is undefined when

3x² - 75 = 0

Now, we will determine the values of x in the equation above

3x² - 75 = 0

3x²  = 75

x² = 75/3

x² = 25

x = ±√25

x = ±5

Hence, the given expression is undefined when x = 5 OR x = -5

Learn more on Undefined expression here: brainly.com/question/19815575

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7 0
2 years ago
Assume the upper arm length of males over 20 years old in the United States is approximately Normal with mean 39.2 centimeters (
MAVERICK [17]

Answer:

The interval [32.6 cm, 45.8 cm]

Step-by-step explanation:

According with the <em>68–95–99.7 rule for the Normal distribution:</em>  If \large \bar x  is the mean of the distribution and s the standard deviation, around 68% of the data must fall in the interval

\large [\bar x - s, \bar x +s]

around 95% of the data must fall in the interval

\large [\bar x -2s, \bar x +2s] 

around 99.7% of the data must fall in the interval

\large [\bar x -3s, \bar x +3s]

So, the range of lengths that covers almost all the data (99.7%) is the interval

[39.2 - 3*2.2, 39.2 + 3*2.2] = [32.6, 45.8]

<em>This means that if we measure the upper arm length of a male over 20 years old in the United States, the probability that the length is between 32.6 cm and 45.8 cm is 99.7%</em>

3 0
3 years ago
A stock has a Price/Earnings Ratio (P/E) of 4.5. Earnings per share (EPS) of these stocks is 8. What is the stock’s market value
zzz [600]

Answer:

$36

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Line a passes through the points (-1,0) and (3,-8)<br> what’s the slope?
konstantin123 [22]

Answer: 2

Step-by-step explanation:

(x1,y1) = (-1,0)

(x2,y2) = (3,8)

m = (8–0)/(3-(-1))

m = 8/(3+1)

m = 8/4

m = 2

8 0
2 years ago
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