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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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nikklg [1K]

<u>Explanation:</u>

1. Calculation of labor spending variance for the month of march

Labor spending variance = (Actual rate x actual hours)- (Standard rate x Standard hours)

=(13 x 63000) - (12 x (26000 x 3))

=-1,38,600

Labor spending variance for the month of March is $138600

2.Calculation of variable manufacturing overhead planning cost

Variable manufacturing overhead planning cost= (Planning budget units x required hours x cost per hour)

=(21000 x 3 x7)

=441,000

Variable manufacturing overhead planning cost is $441,000

3. Calculation of Variable manufacturing overhead cost

Variable manufacturing overhead  cost= (Actual units x required hours x cost per hour)

=(26600 x 3 x7)

=$558,600

Variable manufacturing overhead  cost is $558,600

4. Calculation of Variable overhead rate variance

Variable overhead rate variance= Actual hours ( actual rate - standard rate)

=63000((510930/63000)-8)

=63000(8.11-8)

=63000(0.11)

=6930

Variable overhead rate variance is =6930

3 0
3 years ago
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kvv77 [185]

Answer:

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3 0
2 years ago
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An online buying club requires an annual fee of $170 in order to qualify for a 19 percent discount on purchases. What amount wou
krek1111 [17]

Answer : The amount needed to spend to save $170 is, $32.3

Explanation :

As we are given that an online buying club requires an annual fee of $170 and a 19% discount on purchases.

Now we have to determine the amount needed to spend to save $170.

As, for every $100 the discount will be = $19

So, for every $170 the discount will be = \frac{\$ 170}{\$ 100}\times \$ 19

                                                                 = $32.3

Thus, the amount needed to spend to save $170 is, $32.3

3 0
2 years ago
After the stomach food passes through
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Answer:

After food enters your stomach, the stomach muscles mix the food and liquid with digestive juices. The stomach slowly empties its contents, called chyme, into your small intestine. Small intestine.

Explanation:

5 0
2 years ago
Which of the following is true about a "credit"? I. It is part of the double-entry procedure that keeps the accounting equation
kipiarov [429]

Answer:

III. I, II, III, and IV.

  • I. It is part of the double-entry procedure that keeps the accounting equation in balance.
  • II. It represents a decrease to assets.
  • III. It represents an increase to liabilities.
  • IV. It is on the right side of a T-account.

Explanation:

The debit-credit balance is necessary for maintaining the accounting equation in balance, i.e. all the debits must have a corresponding credit.

Asset accounts increase when they are debited and decrease when they are credited.

Liabilities accounts decrease when they are debited and increase when they are credited.

Debits are on the left side of a t-account and credits are on the right side.

3 0
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