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Jlenok [28]
3 years ago
10

Your grandfather likes to tell the story about how he started with 50 head of cattle on his ranch and grew the ranch to 1,000 he

ad of cattle. He said "My plan was simple: grow the number of head of cattle at a rate of 10% per year."
Your grandfather reached his goal before he retired. How long did it take him?
A) 18.63 years
B) 31.43 years
C) 25.22 years
D) 47.65 years
Business
1 answer:
koban [17]3 years ago
8 0

Answer:

31.43 years

Explanation:

The number of years can be calculated using growth rate formula

yf = yi ( 1 + r) ^ t where yf is the final population, yi is the initial population, r is the rate in % and t is the number of years

yi = 50, yf = 1000, r = 10% and t = ?

substitute the values into the formula

1000 = 50 ( 1 + (10/100)) ^ t

divide both side by 50

1000/ 50 = 1000/50 ( 1.1) ^t

20 = (1.1) ^t

take log of both side

log 20 = t log 1.1  ( remember log a^b = b log a)

divide both side by log 1.1

log 20 / log 1.1 = t

t = 31.43 years

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Joe bought a stock at $57 per share. The price promptly fell to $55. Joe held on to the stock until it again reached $57, and th
Y_Kistochka [10]

Answer: Weak form EMH

Explanation:

Weak form efficiency is also called the random walk theory states that past volume, price movements and earnings do not affect the price of a stock and can not be used to forecast its future direction. Weak form efficiency states that prices of future securities are random and not determined by past events and that there is no relationship between past information and current market prices.

The principle of weak form efficiency has been contradicted because other investors are making use of Joe's past information to create a trading pattern.

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3 0
1 year ago
3. The Johnson Company will pay an annual dividend of $2.05 next year. The company has increased its dividend by 3.5% a year for
vlada-n [284]

Answer:

A share of this stock be worth$ 21.88 four years from now

Explanation:

Amount of annual dividend that will be paid the next year = $ 2.05

increase in dividend by 3.5% = \frac{100+3.5}{100} = increase by a factor of 1.035

Since there is a 14% return, overall increase in dividend = \frac{1.035}{0.14 - 0.035} = 9.857

<em>Note:</em>

<em>0.035 was obtained from </em>\frac{3.5}{100}<em>= 0.035 (dividend increase)</em>

<em>0.14 was obtained from </em>\frac{1.4}{100}<em> = 0.14 (percentage return required)</em>

over the next 20 years his new value of dividend will be

New value of dividend = $2.05 + 9.857 = 11.907

Converting to a percentage,

\frac{100+11.907}{100}= 1.1907

Net dividend increase =

Dividend returns minus increase in dividend for 20 years is given as

14% - 3.5% = 10.5%

From the above, the

Worth of a share of his stock 4 years from now can be computed by

(dividend X Percentage increase in 20 years)/ net percent dividend increase  + (increase in 4 years/ net dividend increase) X 100

\frac{(2.05 (1.1907))  }{10.5} + \frac{(2.2729)}{10.5} × 100  =$21.88

∴ A share of this stock be worth$ 21.88 four years from now

4 0
3 years ago
Suppose there are 1000 firms in a market and all are identical. Firm A will hire 20 workers when the wage rate is $10, 25 worker
Triss [41]

Answer:

d. the quantity demanded for the market will increase to less than 30,000 workers.

Explanation:

Missing options:

  • a. the quantity demanded for the market will increase to 30,000 workers.
  • b. the quantity demanded for the market will increase to more than 30,000 workers.
  • c. the quantity demanded for the market will increase, but we can't tell which of the above answers is correct.
  • d. the quantity demanded for the market will increase to less than 30,000 workers.

maximum total demand for labor = 30 (at $8) x 1,000 firms = 30,000 workers, but since the equilibrium rate had been $9 for many years, some workers have already been hired at $9, and it is usually very difficult to lower someone's wage once they have been working. Even thought the quantity demanded will increase, it will probably not be able to reach 30,000 workers.

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