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AveGali [126]
3 years ago
6

A soft-drink machine is regulated so that it dischargesan average of 200 milliliters per cup. If theamount of drink is normally

distributed with a standarddeviation equal to 15 milliliters,(a) what fraction of the cups will contain more than224 milliliters?
Business
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer:0.0548

Explanation:

Let x denotes the random variable that represents the  amount of drink in cups.

As per given , we have

\mu=200   \sigma=15

Since z=\dfrac{x-\mu}{\sigma}

The z-value corresponds to x=224

z=\dfrac{224-200}{15}=1.6

Required probability :

P-value : P(x>224)=P(z>1.6)=1-P(z

=1- 0.9452007=0.0547993\approx0.0548

Hence, the fraction of the cups will contain more than 224 milliliters = 0.0548

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2 years ago
Sales and costs are projected to grow at 20% a year for at least the next 4 years. Both current assets and accounts payable are
shusha [124]

Question Completion:

The 2017 financial statements for Growth Industries are presented below  

INCOME STATEMENT, 2017  

Sales $ 380,000  

Costs 240,000  

EBIT $ 140,000  

Interest expense 28,000  

Taxable income $ 112,000  

Taxes (at 35%) 39,200

Net income $ 72,800  

Dividends 21,840

Addition to retained earnings 50,960  

BALANCE SHEET, YEAR -END, 2017  

Assets    

Current assets  

Cash      $ 7,000      

Accounts receivable 12,000

Inventories 31,000

Total current assets $ 50,000  

Net plant and equipment 320,000

Total assets $ 370,000

Liabilities

Current liabilities

Accounts payable $ 14,000

Total current liabilities $14,000

Long-term debt Stockholders' equity 280,000

Common stock plus additional paid-in capital 15,000

Retained earnings 61,000  

Total liabilities and stockholders' equity $ 370,000

Answer:

Growth Industries

The required external financing over the next year is:

= $16,600.

Explanation:

a) Data and Calculations:

Sales and costs projected growth rates = 20%

Current assets and accounts payable growth rates = 20%

Fixed assets growth rates = 20%

Interest expense = 10% of long-term debt outstanding

Dividend payout ratio = 0.40

INCOME STATEMENTs,               2017        Projected

Sales                                      $ 380,000   $456,000 ($380,000 * 1.2)

Costs                                        240,000      288,000 ($240,000 * 1.2)

EBIT                                        $ 140,000    $168,000

Interest expense                       28,000        28,000

Taxable income                     $ 112,000    $140,000

Taxes (at 35%)                          39,200        49,000

Net income                            $ 72,800      $91,000

Dividends                                   21,840       36,400

Addition to retained earnings 50,960    $54,600

Retained earnings, 2017  $61,000

Projected addition             54,600

Retained earnings,         $115,600

BALANCE SHEET, YEAR -END, 2017  

Assets                                                                2017   Projected

Current assets  

Cash                                                               $ 7,000      $8,400 ($7,000*1.2)

Accounts receivable                                       12,000       14,400 (12,000*1.2)

Inventories                                                      31,000      37,200 (31,000*1.2)

Total current assets                                   $ 50,000   $60,000

Net plant and equipment                           320,000    384,000 ($320,000*1.2)

Total assets                                             $ 370,000 $ 444,000

Liabilities

Current liabilities

Accounts payable                                     $ 14,000      $16,800 ($14,000*1.2)

Total current liabilities                               $14,000      $16,800

Long-term debt Stockholders' equity     280,000     280,000

Common stock plus

additional paid-in capital                           15,000        15,000

Retained earnings                                      61,000      115,600

Total liabilities

and stockholders' equity                    $ 370,000  $427,400

External Financing Required = Assets - Liabilities & equity

Assets =                    $444,000

Liabilities + Equity = $427,400

External financing      $16,600

5 0
2 years ago
has 10 percent coupon bonds on the market with 19 years to maturity. The bonds make semiannual payments and currently sell for 1
katovenus [111]

Answer:

4.62%

Explanation:

we need to calculate the yield to maturity of the bond:

YTM = [coupon + (face value - market value)/n] / [(face value + market value)/2]

  • coupon = $50
  • face value = $1,000
  • market value = $1,078
  • n = 38 semiannual payments

YTM = [$50 + ($1,000 - $1,078)/38] / [($1,000 + $1,078)/2]

YTM = $47.95 / $1,039 = 4.615 ≈ 4.62%

5 0
3 years ago
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