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

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Step-by-step explanation:

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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

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

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

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 = = = 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

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

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7