50<br> Σ (4n - 1) = [? ]<br> 1

$18.48 rounded to nearest dollar?

ANEK [815]

$18 is the rounded dollar to $18.48

6 0

2 years ago

Read 2 more answers

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 8 feet. Find the radius.

siniylev [52]

9514 1404 393

Answer:

6 feet

Step-by-step explanation:

The volume of a cylinder is given by ...

V = πr^2·h

For a sphere, the volume is ...

V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

8 = 4/3r

r = 3/4·8 = 6

The radius is 6 feet.

8 0

2 years ago

Income Statements under Absorption Costing and Variable Costing

kotykmax [81]

The estimated income statement for the month shows a loss of $840000.

<h3>How to illustrate the income statement?</h3>

The estimated income statement for the month will be:

Sales = $25,600,000

Less: Cost of goods sold

Direct materials (320000 × 15) = $4,800,000

Direct labor (320000 × 17) = $5,440,000

Variable costing (320000 × 15) = $11,200,000

Fixed manufacturing cost = $1,530,000

Total cost of goods sold = $22970000

Gross profit = $25,600,000 - $22970000 = $2,630,000

Gross profit = $2,630,000

Less:

Variable selling and administrative expense = $3200000

Fixed selling and administrative = $270000

Loss from operations = $840000

Therefore, the estimated income statement for the month shows a loss of $840000.

Learn more about income statement on:

brainly.com/question/15169974

#SPJ1

5 0

7 months ago

What is x. Please show *all* the steps.

Zolol [24]

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

<h3>How to determine the value of x?</h3>

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

Read more about equations at:

brainly.com/question/2972832

8 0

1 year ago

Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows

juin [17]

Answer:

$\frac{AB}{A''B''} = \frac{1}{4}$

Step-by-step explanation:

Given the information:

A'B'C' reflection over x = −1
dilation by a scale factor of 4 from the origin

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= $\frac{AB}{A''B''} = \frac{1}{4}$

We choose C.

Hope it will find you well.

7 0

2 years ago

50 Σ (4n - 1) = [? ] 1