The sum of 3 rational numbers is 90 determine, №18009928, 02.04.2021 03:04

Mathematics

The sum of 3 rational numbers is 90 determine these 3 numbers

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The sum of 3 rational numbers is 90 determine these 3 numbers

Business

The comparative financial statements prepared at December 31, 2015, for Prince Company showed the following summarized data: 2015 2014 Income statement Sales Revenue 190,900 167,300 Cost of goods sold 113,000 102,000 Gross Profit 77,900 65,300 Operating expenses and interest expense 56,700 53,700 Pretax income 21,200 11,600 Income Tax 6,200 3,100 Net Income 15,000 8,500 Balance Sheet Cash 4,600 6,500 Accounts Receivable (net) 15,300 16,900 Inventory 40,300 32,600 Operational Assets (net) 46,400 36,400 106,600 92,400 Current liabilities (no interest)

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Prince Company

1. Component percentages for 2015:

Income statement 2015 Percentage

Sales Revenue 190,900 100%

Cost of goods sold 113,000 59% (113,000/190,900 * 100)

Gross Profit 77,900 41% (77,900/190,900 * 100)

Operating expenses and

interest expense 56,700 30% (56,700/190,900 * 100)

Pretax income 21,200 11% (21,200/190,900 * 100)

Income Tax 6,200 3% (6,200/190,900 * 100)

Net Income 15,000 8% (15,000/190,900 * 100)

Balance Sheet 2015 Percentage

Cash $4,600 4.3% (4,600/106,600 * 100)

Accounts Receivable (net) 15,300 14.4% (15,300/106,600 * 100)

Inventory 40,300 37.8% (40,300/106,600 * 100)

Operational Assets (net) 46,400 43.5% (46,400/106,600 * 100)

Total 106,600 100%

Current liabilities (no interest) 15,100 14.2% (15,100/106,600 * 100)

Long-term liabilities (10%interest) 44,900 42.1% (44,900/106,600 * 100)

Common Stock (par $5) 29,900 28% (29,900/106,600 * 100)

Retained Earnings 16,700 15.7% (16,700/106,600 * 100)

Total 106,600 100%

2. Gross profit percentage for 2015: 41%

Explanation:

a) Data and Calculations:

Income statement 2015 2014

Sales Revenue 190,900 167,300

Cost of goods sold 113,000 102,000

Gross Profit 77,900 65,300

Operating expenses and

interest expense 56,700 53,700

Pretax income 21,200 11,600

Income Tax 6,200 3,100

Net Income 15,000 8,500

Balance Sheet

Cash $4,600 $6,500

Accounts Receivable (net) 15,300 16,900

Inventory 40,300 32,600

Operational Assets (net) 46,400 36,400

Total 106,600 92,400

Current liabilities (no interest) 15,100 16,100

Long-term liabilities (10%interest) 44,900 44,900

Common Stock (par $5) 29,900 29,900

Retained Earnings 16,700 1,500

Total 106,600 92,400

Business

The comparative financial statements prepared at December 31, 2015, for Prince Company showed the following summarized data: 2015 2014 Income statement Sales Revenue 190,900 167,300 Cost of goods sold 113,000 102,000 Gross Profit 77,900 65,300 Operating expenses and interest expense 56,700 53,700 Pretax income 21,200 11,600 Income Tax 6,200 3,100 Net Income 15,000 8,500 Balance Sheet Cash 4,600 6,500 Accounts Receivable (net) 15,300 16,900 Inventory 40,300 32,600 Operational Assets (net) 46,400 36,400 106,600 92,400 Current liabilities (no interest)

Step-by-step answer

P Answered by PhD

Prince Company

1. Component percentages for 2015:

Income statement 2015 Percentage

Sales Revenue 190,900 100%

Cost of goods sold 113,000 59% (113,000/190,900 * 100)

Gross Profit 77,900 41% (77,900/190,900 * 100)

Operating expenses and

interest expense 56,700 30% (56,700/190,900 * 100)

Pretax income 21,200 11% (21,200/190,900 * 100)

Income Tax 6,200 3% (6,200/190,900 * 100)

Net Income 15,000 8% (15,000/190,900 * 100)

Balance Sheet 2015 Percentage

Cash $4,600 4.3% (4,600/106,600 * 100)

Accounts Receivable (net) 15,300 14.4% (15,300/106,600 * 100)

Inventory 40,300 37.8% (40,300/106,600 * 100)

Operational Assets (net) 46,400 43.5% (46,400/106,600 * 100)

Total 106,600 100%

Current liabilities (no interest) 15,100 14.2% (15,100/106,600 * 100)

Long-term liabilities (10%interest) 44,900 42.1% (44,900/106,600 * 100)

Common Stock (par $5) 29,900 28% (29,900/106,600 * 100)

Retained Earnings 16,700 15.7% (16,700/106,600 * 100)

Total 106,600 100%

2. Gross profit percentage for 2015: 41%

Explanation:

a) Data and Calculations:

Income statement 2015 2014

Sales Revenue 190,900 167,300

Cost of goods sold 113,000 102,000

Gross Profit 77,900 65,300

Operating expenses and

interest expense 56,700 53,700

Pretax income 21,200 11,600

Income Tax 6,200 3,100

Net Income 15,000 8,500

Balance Sheet

Cash $4,600 $6,500

Accounts Receivable (net) 15,300 16,900

Inventory 40,300 32,600

Operational Assets (net) 46,400 36,400

Total 106,600 92,400

Current liabilities (no interest) 15,100 16,100

Long-term liabilities (10%interest) 44,900 44,900

Common Stock (par $5) 29,900 29,900

Retained Earnings 16,700 1,500

Total 106,600 92,400

Business

Inspirational Inc. is a motivational consulting business. At the end of its accounting period, October 31, 20Y2, Inspirational has assets of $5,250,000 and liabilities of $1,600,000. Using the accounting equation and considering each case independently, determine the following amounts: a. Stockholders equity as of October 31, 20Y2. $ 3,650,000 b. Stockholders’ equity as of October 31, 20Y3, assuming that assets increased by $800,000 and liabilities increased by $330,000 during 20Y3. $ 4,120,000 c. Stockholders equity as of October 31, 20Y3, assuming

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a.Stockholders equity as at October 31, 20Y2.

Equity = $3,650,000

b. Stockholders equity as at October 31, 20Y3

Equity = $4,120,000

c. Stockholders equity as at October 31, 20Y3.

Equity = $2,910,000

d.Stockholders equity as at October 31, 20Y3.

Equity = $4,180,000

e. Net Income as at October 2OY3

Net Income = $540,000

Explanation:

Accounting equation equate asset with liabilities and equity:

Assets = Liaibilities + Equity.

With this formula, any of the missing value can be derived mathematically.

To get equity, the item will be rearranged as follows:

Equity = Asset - Liabilities

a. Stockholders equity as at October 31, 20Y2.

Equity = $5,250,000 - $1,600,000

Equity = $3,650,000

b. Stockholders equity as at October 31, 20Y3

Increase in asset of $800,000 and increase in liabilities of $330,000

Equity = ($5,250,000 +$800,000) - ($1,600,000 + $330,000)

Equity = $6,050,000 - $1,930,000

Equity = $4,120,000

c. Stockholders equity as at October 31, 20Y3.

Assuming that assets decreased by $600,000 and liabilities increased by $140,000

Equity =( $5,250,000 - $600,000) - ($1,600,000 + $140,000)

Equity = $4,650,000 - $1,740,000

Equity = $2,910,000

d. Stockholders equity as at October 31, 20Y3.

assuming that assets increased by $440,000 and liabilities decreased by $90,000

Equity = ($5,250,000+$440,000) - ($1,600,000 -$90,000)

Equity = $5,690,000 - $1,510,000

Equity = $4,180,000

e. Net Income as at October 2OY3

Net income (or net loss) during 20Y3, assuming that as of October 31, 20Y3, assets were $6,140,000, liabilities were $1,950,000, and no additional common stock was issued or dividends paid

Net income = Closing equity - opening equity.

Closing equity:

= $6,140,000 - $1,950,000

= $4,190,000

Opening equity as at October 31, 20Y2 = $3,650,000

Net Income = $4,190,000 -$3,650,000

Net Income = $540,000

Physics

The annual production of Cl2 is about 45 millions tons per year. Assume that a typical plant is operational 90 % of the year. The operating voltage of a cell is 3.4 V (considerably higher than the equilibrium voltage) (a) Write down the half-cell reaction for the oxidation chloride to form chlorine. (b) Determine the total current worldwide needed to gener- ate the global supply of Cl2. (c) Calculate the electrical power needed to produce the global supply of chlorine using electrolysis.

Step-by-step answer

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a) CI^- ⇒ CI2 + 2e^-

b) 4.2 * 10^9 amperes

c) 1.4 * 10^10 watts

Explanation:

Given data:

Annual production of C12 = 45 millions tons per year

Typical plant operational percentage = 90%

Operating voltage of a cell = 3.4 v

A) Half-cell reaction for oxidation chloride to form chlorine

CI^- ⇒ CI2 + 2e^-

B) Calculate the total current worldwide needed to generate the global supply of CI 2

Total current = $\frac{Q}{t}$ = $\frac{1.2*10^{17} }{2.84*10^7}$ = 4.2 * 10^9 amperes

Q = charge , t = time

C ) Calculate electrical power need to produce global supply of chlorine using electrolysis

P = V*I

= 3.4 * 4.2 * 10^9

= 1.4 * 10^10 watts

The annual production of Cl2 is about 45 millions tons per year. Assume that a typical plant is oper

Business

Inspirational Inc. is a motivational consulting business. At the end of its accounting period, October 31, 20Y2, Inspirational has assets of $5,250,000 and liabilities of $1,600,000. Using the accounting equation and considering each case independently, determine the following amounts: a. Stockholders equity as of October 31, 20Y2. $ 3,650,000 b. Stockholders’ equity as of October 31, 20Y3, assuming that assets increased by $800,000 and liabilities increased by $330,000 during 20Y3. $ 4,120,000 c. Stockholders equity as of October 31, 20Y3, assuming

Step-by-step answer

P Answered by Specialist

7

a.Stockholders equity as at October 31, 20Y2.

Equity = $3,650,000

b. Stockholders equity as at October 31, 20Y3

Equity = $4,120,000

c. Stockholders equity as at October 31, 20Y3.

Equity = $2,910,000

d.Stockholders equity as at October 31, 20Y3.

Equity = $4,180,000

e. Net Income as at October 2OY3

Net Income = $540,000

Explanation:

Accounting equation equate asset with liabilities and equity:

Assets = Liaibilities + Equity.

With this formula, any of the missing value can be derived mathematically.

To get equity, the item will be rearranged as follows:

Equity = Asset - Liabilities

a. Stockholders equity as at October 31, 20Y2.

Equity = $5,250,000 - $1,600,000

Equity = $3,650,000

b. Stockholders equity as at October 31, 20Y3

Increase in asset of $800,000 and increase in liabilities of $330,000

Equity = ($5,250,000 +$800,000) - ($1,600,000 + $330,000)

Equity = $6,050,000 - $1,930,000

Equity = $4,120,000

c. Stockholders equity as at October 31, 20Y3.

Assuming that assets decreased by $600,000 and liabilities increased by $140,000

Equity =( $5,250,000 - $600,000) - ($1,600,000 + $140,000)

Equity = $4,650,000 - $1,740,000

Equity = $2,910,000

d. Stockholders equity as at October 31, 20Y3.

assuming that assets increased by $440,000 and liabilities decreased by $90,000

Equity = ($5,250,000+$440,000) - ($1,600,000 -$90,000)

Equity = $5,690,000 - $1,510,000

Equity = $4,180,000

e. Net Income as at October 2OY3

Net income (or net loss) during 20Y3, assuming that as of October 31, 20Y3, assets were $6,140,000, liabilities were $1,950,000, and no additional common stock was issued or dividends paid

Net income = Closing equity - opening equity.

Closing equity:

= $6,140,000 - $1,950,000

= $4,190,000

Opening equity as at October 31, 20Y2 = $3,650,000

Net Income = $4,190,000 -$3,650,000

Net Income = $540,000

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

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