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antoniya [11.8K]
3 years ago
15

There are 6 triangles and 2 circles. What is the simplest ratio of circles to total shapes?

Mathematics
1 answer:
damaskus [11]3 years ago
8 0
There is no simpler ratio then 1:4. So the answer is 1:4.
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Income Statements under Absorption Costing and Variable Costing
rodikova [14]

The Income Statements under Absorption Costing and Variable Costing are as follows:

                                                       Absorption Costing     Variable Costing

Sales (19,500 units)                              $2,145,000               $2,145,000

Cost of goods sold                                $1,491,750               $1,365,000

Gross profit                                            $653,250                 $780,000

Selling and administrative expenses:

Fixed factory overhead                                          $162,500

Variable selling and

 administrative expenses    $296,400                  296,400

Fixed selling and

 administrative expenses       114,800    411,200    114,800   573,700

Net Income                                          $242,050                $206,300

<h3>What is the difference between Absorption Costing and Variable Costing?</h3>

The difference between Absorption Costing and Variable Costing is that the Ending Inventory costs under Variable Costing include only direct materials, direct labor, and variable factory overhead.  Absorption Costing includes all the variable factory costs plus fixed factory overhead (a period cost) in the Ending Inventory costs.

<h3>Data and Calculations under Absorption Costing:</h3>

Sales (19,500 units)                              $2,145,000

Production costs (25,000 units):

Direct materials                $1,017,500

Direct labor                          487,500

Variable factory overhead 245,000

Fixed factory overhead       162,500

Total production costs      1,912,500

Cost per unit = $76.50 ($1,912,500/25,000)

Less Ending inventory        420,750               (5,500 x $76.50)

Cost of goods sold                              $1,491,750

Gross profit

Selling and administrative expenses:

Variable selling and administrative expenses $296,400

Fixed selling and administrative expenses 114,800 411,200

<h3>Data and Calculations under Variable Costing:</h3>

Sales (19,500 units)                              $2,145,000

Production costs (25,000 units):

Direct materials                $1,017,500

Direct labor                          487,500

Variable factory overhead 245,000

Total variable production costs  1,750,000

Cost per unit = $70 ($1,750,000/25,000)

Less Ending inventory       385,000               (5,500 x $70)

Cost of goods sold                              $1,365,000

Gross profit

Selling and administrative expenses:

Variable selling and

administrative expenses $296,400

Fixed factory overhead       162,500

Fixed selling and administrative expenses 114,800 411,200

Learn more about absorption costing and variable costing at brainly.com/question/6337340

#SPJ1

7 0
2 years ago
Evaluate piecewise functions
Vika [28.1K]

Answer:

F(4) = 9

Step-by-step explanation:

Notice that for f(4), we need to use the function definition for the partitioned Domain that includes x = 4, and that is the expression :

f(x) = x^2-7

Therefore:

f(4) = 4^2-7 = 16-7 =9

5 0
3 years ago
Jane sells 8 times as many Volvos as Melissa. If the difference in their sales is 35, how many cars did Jane sell?
Usimov [2.4K]
Here we have 2 variables we need to calculate:
x - how many Volvos Jane sold
y - how many Volvos Melissa sold

We write system of equations:
x = 8*y
x - y = 35
------------
8y - y = 35
7y = 35
y = 5
x = 8*5 = 40

Jane sold 40 cars.
8 0
3 years ago
What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches
jek_recluse [69]

Answer:

12π cubic inches

Step-by-step explanation:

Volume  = (4/3)πr^3

V = (4/3)π9

V = (36/3)π

V = 12π

8 0
3 years ago
Examine triangle ABC.<br><br> What is the value of x?<br><br> 37<br> 48<br> 127<br> 138
Flura [38]

The outside angle of B needs to equal 180 - 79 = 101 degrees.

The 3 outside angles of a triangle need to equal 360 degrees.

Set up the equation with what we know:

X + (x+5) + 101 = 360

Simplify:

2x + 106 = 360

Subtract 106 from both sides:

2x = 254

Divide both sides by 2:

x = 254 / 2

x = 127

4 0
3 years ago
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