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g100num [7]
3 years ago
10

Does the order of variables matter when combining like terms in algebra

Business
1 answer:
steposvetlana [31]3 years ago
4 0
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.
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Given sales of $1,452,000, variable expenses of $958,320 and fixed expenses of $354,000, the contribution margin ratio is ______
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Answer:

34%

Explanation:

( ($1,452,000 - $958,320) ÷ $1,452,000 = 34% )

4 0
2 years ago
At December 31, 2021, Moonlight Bay Resorts had the following deferred income tax items: Deferred tax asset of $62 million relat
o-na [289]

Answer:

Moon light Bay Resorts would report in the balance sheet December 31, 2021 ; non current deferred tax asset of $102 million and non current deferred tax liability of $208 million .

Explanation:

From the above question, we are to determine if Moon Light Bay Resorts should report as assets (Current or non current) or liabilities (Current or non current) in its balance sheet as at 31st December, 2021.

The items are also classified in the balance sheet as seen below;

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(Deferred tax liabilities related to both current or non current assets)

Total deferred tax asset ($62 million + $40 million) = $102 million

The net deferred tax liability = $106 million ($200 million - $102 million)

5 0
3 years ago
In divisional income statements prepared for Demopolis Company, the Payroll Department costs are charged back to user divisions
mojhsa [17]

Answer and Explanation:

According to the scenario, computation of the given data are as follow:-

a).  

Number Of Payroll Checks       Residential Government Contract  Commercial Total

Weekly Payroll 52 × 400 = 20,800 52 × 150=7,800 52 × 250 = 13,000 41,600

Monthly Payroll 12 × 80 = $960 12 × 10 =120 12 × 30=360 1,440

Total                           21,760       7,920 13,360       43,040

Number of Purchase Requisitions Per Year 7,500 2,000 3,000 12,500

 

Weekly Payroll = Weeks Per Year × Payroll Per Week  

Monthly Payroll = Months Per Year × Payroll Per Month

b).Charge Rate of Service Department:-

Purchasing Department

= Purchasing Department Expenses ÷  Number of Purchase Requisitions Per Year

=  ($40,000 ÷ 12,500)

= $3.2 Per Purchase Requisition

Payroll Department

= Payroll Department Expenses ÷ Total  No. of Payroll Checks

= ($64,560 ÷ 43,040)

= $1.5 Per Payroll Check

Service Department Charges:-

Payroll Department ($) Purchasing Department ($) Total ($)

Residential  1.5 × 21,760 = 32,640 3.2 × 7,500 = 24,000 56,640

Commercial 1.5 × 13,360 = 20,040 3.2 × 3,000 = 9,600 29,640

Government Contract 1.5 × 7,920 = 11,880 3.2 × 2,000 = 6,400 18,280

Total                                64,560 40,000 104,560

 

c) Residential service department pays more than the other two divisions because residential service department is a strong user of services. Residential has some weekly payroll employees which convert into a large number of payroll transactions.

                         

7 0
3 years ago
One of the positive effects that government regulation has or business is that many of the laws are intended to
allsm [11]
I think the answer is B
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Your business pays $1,200 per year for insurance, but the insurance company has offered a 15% discount if you complete an online
stepan [7]

Answer:

$1,020

Explanation:

15% of 1200 = 180

1200-180= 1020

5 0
3 years ago
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