Answer: No
The order of variables does not matter when combining like terms in algebra, because of the commutative property.
Explanation:
Consider the addition of two algebraic expressions.
f(x) = x³ - 5x² + 3x - 2
g(x) = 6x³ + 10x² - 7x + 9
Add f(x) and g(x).
f(x) + g(x) = x³ - 5x² + 3x - 2 + (6x³ + 10x² - 7x + 9)
= x³ + 6x³ - 5x² + 10x² + 3x - 7x - 2 + 9
= 7x³ + 5x² - 4x + 7
Now add g(x) and f(x) in order to change the order of variable addition.
g(x) + f(x) = 6x³ + 10x² - 7x + 9 + (x³ - 5x² + 3x - 2)
= 6x³ + x³ + 10x² - 5x² - 7x + 3x + 9 - 2
= 7x³ + 5x² - 4x + 7
The two additions yield the same result, although the order of variable was reversed during the addition.
In general, algebraic operations are commutative.
Answer:
the answer of the question is true
For using $money$ in the near future but not right away.
Answer:
60 percent
Explanation:
Contribution margin refers to the revenue a firm derives after deducting the variable cost it has incurred.
Contribution margin = Sales - Variable costs
Contribution margin or contribution to sales ratio represents the percentage of contribution a firm earns from the sale of it's output.
It is represented mathematically as,
= 
Also, contribution margin ratio = 100 - variable cost ratio percentage.
Hence, contribution margin for three departments would be:
A = 100 - 30% = 70%
B = 100 - 40% = 60%
C = 100- 50% = 50%
This represents if sales revenue is 100, contribution margin earned is 70, 60 and 50 under three cases.
Since sales revenue in all three departments is the same, let us assume the sales revenue of a department as y.
Thus, weighted average contribution margin would be, 60 percent
Answer:
Please refer to the below for Journal entries
Explanation:
The journal entries are seen below
1. Cash A/c Dr $58,523
Discount on bond payable A/c Cr $4,477
To bonds payable A/c Cr $63,000
(Being the issuance of bond that is recorded)
2. Interest expense A/c Dr $2,048
To discount payable A/c Cr $158
To cash A/c Cr $1,890
(Being the first interest payment that is recorded)
Note:
Interest expense
= $58,523 × 7% × 6 months ÷ 12
= $2,048
Cash
= $63,000 × 6% × 6 months ÷ 12
= $1,890