Answer: A sole proprietorship, also known as the sole trader, individual entrepreneurship or proprietorship, is a type of enterprise that is owned and run by one person and in which there is no legal distinction between the owner and the business entity.
Answer:
Results are below.
Explanation:
<u>To calculate the direct labor rate and efficiency variance, we need to use the following formulas:</u>
Direct labor rate variance= (Standard Rate - Actual Rate)*Actual Quantity
Direct labor rate variance= (17.7 - 17.8)*7,600
Direct labor rate variance= $760 unfavorable
Actual rate= 135,280/7,600= $17.8
Direct labor time (efficiency) variance= (Standard Quantity - Actual Quantity)*standard rate
Direct labor time (efficiency) variance= (4*1,800 - 7,600)*17.7
Direct labor time (efficiency) variance= $7,080 unfavorable
Answer:
0.09 or 9%
Explanation:
This question has some irregularities. The correct question should be :
Elinore is asked to invest $4,900 in a friend's business with the promise that the friend will repay $5,390 in one year's time. Elinore finds her best alternative to this investment, with similar risk, is one that will pay her $ 5,341 in one year's time. U.S. securities of similar term offer a rate of return of 7%. What is the opportunity cost of capital in this case?
Solution
Given from the question
Investment (I) = $4,900
Return on investment (ROI) in one year = $5,341
Rate or opportunity cost of capital r is given by
ROI = I × (1 + r)
input the given data
$5,341 = $4,900 (1 + r)
$5,341 = $4,900 + $4,900r
$5,341 - $4,900 = $4,900r
r = ($5,341 - $4,900) / $4,900
r = 0.09
Or 9% in percentage
Answer:
The boy: 8 years old
The sister: 11 years old
Explanation:
We assume that the age at present of the boy is x (years old).
As he is younger than his sister 3 years, so that his sister's present age is great than x 3 years
=> Her present age is: x + 3 (years old)
Two years ago, the boy is younger than present two years
=> The boy's age two years ago is: x - 2 (years old)
Similarly, the sister's age two years ago is: (x+3)-2 = x + 1 (years old)
As given, two years ago he was two-thirds of his sister's age, so that we have:
<em>The boy's age two years ago = </em>
<em> × the sister's age two years ago</em>
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
=> x + 3 = 8 + 3 = 11
So the present age of the boy is 8 years old, of the sister is 11 years old
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