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crimeas [40]
4 years ago
15

A cone-shaped container has a height of 9 inches and diameter of 2 inches. It is filled with a liquid that is worth $2 per cubic

inch. What is the total value of the liquid in the container? Use 3.14 for π .
Business
1 answer:
IRISSAK [1]4 years ago
4 0

Answer:

$18.84

Explanation:

Firstly, we need to find the volume of the solid shape. We have identified the solid shape to be a cone.

The volume of a cone is v = 1/3 π r^2 h

Here π = 3.14, r = d/2 = 2/2 = 1 inch and h = 9 inches

V = 1/3 * 3.14 * 1 * 1 * 9 = 9.42 cube.inches

Total value of liquid in the container is thus 9.42 * $2 = $18.84

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f the interest rate is 7.8% per year, approximately how long will it take for your money to quadruple in value? (Use the Rule of
kondaur [170]

Answer:

The rule of 72 establishes that, to determine the time in which an investment will double its initial capital through the generation of compound interest, 72 must be divided by the interest rate number of said financial investment.

In the present question, the interest rate is 7.8%, with which the investment would double in 9.23 years (72 / 7.8 = 9.23).

Now, at the same time there will be an annual inflation of 4.9%, that is, an accumulated inflation of 45.22% (4.9 x 9.23 = 45.22). In other words, the real growth of investment will not be 100%, but the accumulated inflation will have to be discounted from said number, with which the real growth of investment will be 54.88% over those 9.23 years.

6 0
3 years ago
If Wesley Corporation has 80,000 shares of common stock authorized. 50,000 shares of common stock issued, and holds 12,000 share
Vesna [10]

Answer: E. 18,000

Explanation:

Wesley Corporation has 80,000 shares of common stock authorized. This the total amount of common stock that is available for sale by the company.

Only 50,000 shares of common stock were issued and 12,000 shares of common stock as held as treasury stock.

Then the total number of outstanding shares of Wesley Corporation amounts to 80,000 - 50,000 - 12,000 = 18,000

5 0
4 years ago
Piedmont Company segments its business into two regions - North and South.
Anna35 [415]

Answer:

1. Company-wide break-even point in dollar sales:

Break even point in dollar sales = (Traceable fixed expenses + Common fixed expenses) / Contribution margin %

Contribution margin % = Contribution margin / Sales revenue * 100%

= 240,000 / 800,000 * 100%

= 30%

Break even point in dollar sales :

=  (122,000 + 52,000) / 30%

= $580,000

2. Break-even point in dollar sales for the North region.

Break even point in dollar sales = Traceable fixed costs / Contribution margin %

Contribution margin % = Contribution margin / Sales revenue * 100%

= 120,000 / 600,000 * 100%

= 20%

Break even point in dollar sales :

= 61,000 / 20%

= $305,000

3. Break-even point in dollar sales for the South region.

Break even point in dollar sales = Traceable fixed costs / Contribution margin %

Contribution margin % = Contribution margin / Sales revenue * 100%

= 120,000 / 200,000 * 100%

= 60%

Break even point in dollar sales :

= 61,000 / 60%

= $101,666.67

5 0
3 years ago
Pharrell, Inc., has sales of $602,000, costs of $256,000, depreciation expense of $62,500, interest expense of $29,500, and a ta
hjlf

Answer:

The earnings per share figure is $1.89

Explanation:

Sales of $602,000

Costs of $256,000

Depreciation expense of $62,500

Interest expense of $29,500

Tax rate of 40 percent.

-> Profit Before Tax  = Sales - Cost - Depreciation Expense - Interest expense

= $602,000 - $256,000 - $62,500 - $29,500

= $254,000

Net profit = Profit before Tax x (1 - Tax rate) = $254,000 * (1 - 40%) = $152,400

Earnings per share = (net profit - dividend paid for preferred stock)/ common stock outstanding = ($152,400-$44,500)/ 57,000

= $1.89

7 0
4 years ago
The company expects an annual need for 5,000 switches. If the company makes the product, it will have to utilize factory space c
WITCHER [35]

Based on the cost to produce each unit of the switches and the annual demand, the total costs will be $25,900 more than the cost of purchasing the switches.

<h3>What is the cost of producing the switches?</h3>

This can be found as:

= Variable cost + set up costs + supervisor's salary + opportunity cost of lost rent

= ( (6 + 5 + 4) x 5,000 units) + 45,500 + 41,000 + (3,700 x 12 months)

= $205,900

If they bought the switches at $36, they would cost:

= 36 x 5,000

= $180,000

Its cheaper to buy by:

= 205,900 - 180,000

= $25,900

Find out more on total costs computation at brainly.com/question/5168855.

#SPJ1

7 0
2 years ago
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