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zlopas [31]
2 years ago
13

Roberto listed his assets and liabilities on a personal balance sheet.

Mathematics
2 answers:
mixer [17]2 years ago
7 0
To see the effect on Robertos balance sheet, we will first have to get the total assets and liabilities
Total assets = cash+ investment+ house + car
Total liabilities= credit card + personal loan + mortgage  + car loan
Substituting the values, we will get
Total asset =$166000
Total liabilities =$1010000
Difference= $844000
To pay off car loan, he uses his investment
Total asset = $166000-5000
                   =$161000
Total liabilities= $1010000-5000
                        =$1005000
Difference=$844000
Therefore the answer is letter C, the difference between asset and liability will remain the same.

Vlad1618 [11]2 years ago
6 0

Answer: The correct option is C, i.e., the difference between the assets and the liabilities will remains the same.

Explanation:

Assets are the thing which gives the future profits and liabilities are the obligations.

It in the given data the assets are cash, investment, house and car.

\text{Assets}=\$1,800+\$6,200+\$1,50,000+\$8,000=\$166,000

It in the given data the liabilities are credit card, personal loan, mortgage and car loan.

\text{Liability}=\$4,000+\$1,000+\$1000,000+\$5,000=\$1010,000

The difference between liability and assets is \$1010,000-\$166,000=\$884,000.

If Roberto use his his investment to pay off his car loan, then the assets decreased by $5000 and liabilities decreased by $5000.

\text{Assets}=\$166,000-\$5,000=\$161,000

\text{Liability}=\$1010,000-\$5000=\$1005,000

The difference between liability and assets is \$1005,000-\$161,000=\$884,000.

Therefore, the correct option is C, i.e., the difference between the assets and the liabilities will remains the same.

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Which expression has the same GCF as 15x2 - 21x?
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Answer:

15x^2 +21 x

Step-by-step explanation:

We have the following expression:

15x^2 -21 x

We can find the GCF with the following steps.

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The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

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If we consider the new expression:

15x^2 +21x

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

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Answer:

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