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ololo11
1 month ago
15

Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 2%

stock, $60 par and 300,000 shares of $20 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $51,000; second year, $105,000; third year, $81,000; fourth year, $120,000. Determine the dividends per share on each class of stock for each of the four years. Round your answers to two decimal places. If no dividends are paid in a given year, enter "0".
Business
1 answer:
soldi70 [3.6K]1 month ago
5 0

Response:

Year 1: Cumulative preferred stock dividends amount to $51,000; Common stock dividends amount to 0.

Year 2: Cumulative preferred stock dividends amount to $93,000; Common stock dividends amount to $12,000.

Year 3: Cumulative preferred stock dividends amount to $72,000; Common stock dividends equal $9,000.

Year 4: Cumulative preferred stock dividends amount to $72,000; Common stock dividends total $48,000.

Clarification:

Year 1

Total dividends distributed = $51,000

Cumulative preferred stock dividends due = 60,000 * $60 * 2% = $72,000

Paid dividends to cumulative preferred stock = $51,000

Outstanding cumulative preferred stock dividends carried over = $72,000 - $51,000 = $21,000

Common stock dividends = 0

Year 2

Total dividends distributed = $105,000

Cumulative preferred stock dividends due for year 2 = 60,000 * $60 * 2% = $72,000

Total cumulative preferred stock dividends owed = 72,000 plus the amount carried over from year 1 = $72,000 + $21,000 = $93,000

Dividends paid on cumulative preferred stock = $93,000

Dividends paid to common stock = $105,000 - $93,000 = $12,000

Year 3

Total dividends distributed = $81,000

Cumulative preferred stock dividends owed = 60,000 * $60 * 2% = $72,000

Dividends paid on cumulative preferred stock = $72,000

Dividends paid to common stock = $81,000 - $72,000 = $9,000

Year 4

Total dividends distributed = $120,000

Cumulative preferred stock dividends owed = 60,000 * $60 * 2% = $72,000

Dividends paid on cumulative preferred stock = $72,000

Dividends paid to common stock = $120,000 - $72,000 = $48,000

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marusya05 [3725]

Response:

(A)0.6600 (B) 1.325 (C) 0.997 or 1 minute

Clarification:

Resolution

It's provided that:

The fixed production time = 30 seconds

The customer arrival time determined by the Poisson distribution is = 45 seconds

Now,

(A) We calculate the typical line length of vehicles

The formula is as follows:

Lq = λ²/ 2μ ( μ -λ)

In this equation,

λ = signifies the average arrival rate

μ = denotes the average service rate

We first determine the average arrival rate as shown below:

The average arrival rate λ = arrival rate/ 60 seconds

= 60/45

= 1.33 customers per minute

Next, we find the average service rate which is detailed below

The average service rate μ = 60 seconds/ average rate

= 60/30 = 2 customers per minute

Now we will calculate the average line length in vehicles as shown here:

Lq = λ²/ 2μ ( μ -λ)

Lq = 1.33²/2*2 (2-1.33)

Lq = 1.7689/4 (0.67)

Lq = 1.7689/2.68

Lq = 0.6600

Thus, the average line length for vehicles is 0.6600 cars

(B) We calculate the average number of vehicles in the entire system

Ls = Lq + λ /μ

Ls = 0.600 + 1.33/2

Ls = 0.6600 + 0.665

Ls = 1.325

(C) Lastly, we need to ascertain the expected average duration in the system outlined here:

Ws = Ls/λ

Ws= 1.325/1.33 = 0.997 or 1.00

The predicted average duration in the system is 0.997 or 1.00 minutes.

3 0
1 month ago
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D.

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Workers should be made aware of the monitoring so they comprehend that it will occur.

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The bank statement ending balance is $45 lower than the general ledger bank balance. On the bank statement, there is a line item
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Answer:

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