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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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The perimeter of a triangle is 30 inches. After a dilation, the perimeter is 6 inches. What is the scale factor of the perimeter
Black_prince [1.1K]
1/5 is the answer brainiest plzzz  i hope it helps
5 0
2 years ago
Seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Find the probability that (a)
UNO [17]

Answer:

a) P=0.226

b) P=0.6

c) P=0.0008

d) P=0.74

Step-by-step explanation:

We know that the seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Therefore, we have 46 balls.

a) We calculate the probability that are 3 red, 2 blue, and 2 green balls.

We calculate the number of possible combinations:

C_7^{46}=\frac{46!}{7!(46-7)!}=53524680

We calculate the number of favorable combinations:

C_3^{12}\cdot C_2^{16}\cdot C_2^{18}=660\cdot 120\cdot 153=12117600

Therefore, the probability is

P=\frac{12117600}{53524680}\\\\P=0.226

b) We calculate the probability that are at least 2 red balls.

We calculate the probability  withdrawn of 1 or none of the red balls.

We calculate the number of possible combinations:

C_7^{46}=\frac{46!}{7!(46-7)!}=53524680

We calculate the number of favorable combinations: for 1 red balls

C_1^{12}\cdot C_7^{34}=12\cdot 1344904=16138848

Therefore, the probability is

P_1=\frac{16138848}{53524680}\\\\P_1=0.3

We calculate the number of favorable combinations: for none red balls

C_7^{34}=5379616

Therefore, the probability is

P_0=\frac{5379616}{53524680}\\\\P_0=0.1

Therefore, the  the probability that are at least 2 red balls is

P=1-P_1-P_0\\\\P=1-0.3-0.1\\\\P=0.6

c) We calculate the probability that are all withdrawn balls are the same color.

We calculate the number of possible combinations:

C_7^{46}=\frac{46!}{7!(46-7)!}=53524680

We calculate the number of favorable combinations:

C_7^{12}+C_7^{16}+C_7^{18}=792+11440+31824=44056

Therefore, the probability is

P=\frac{44056}{53524680}\\\\P=0.0008

d) We calculate the probability that are either exactly 3 red balls or exactly 3 blue balls are withdrawn.

Let X, event that exactly 3 red balls selected.

P(X)=\frac{C_3^{12}\cdot C_4^{34}}{53524680}=0.57\\

Let Y, event that exactly 3 blue balls selected.

P(Y)=\frac{C_3^{16}\cdot C_4^{30}}{53524680}=0.29\\

We have

P(X\cap Y)=\frac{18\cdot C_3^{12} C_3^{16}}{53524680}=0.12

Therefore, we get

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)\\\\P(X\cup Y)=0.57+0.29-0.12\\\\P(X\cup Y)=0.74

8 0
2 years ago
the sugar is sold at rupees 5.4 per kg at a loss of 10% at what price relative is sold per kg to earn a profit of 20%​
ladessa [460]

Answer:

the  price sold per kg to earn a profit of 20% is 7.2 kg

Step-by-step explanation:

The computation of the price sold per kg to earn a profit of 20% is shown below:

But before that the normal price per kg is

= 5.4  per kg × 100 ÷ 90

= 6 per kg

Now for 20% profit, the price per kg is

= 6 × (1 + 0.20)

= 6 + 1.2

= 7.2 kg

hence, the  price sold per kg to earn a profit of 20% is 7.2 kg

5 0
2 years ago
A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could repre
kiruha [24]
The <u>correct answer</u> is:

The last graph.

Explanation:

The leaf starts at 12 feet above the ground.  This eliminates the <u>first and third</u> graph, leaving the second and last.

The leaf falls at 0.25 ft/sec.  This means it would take 4 seconds for the leaf to fall 1 foot.  

On the <u>second graph</u>, when we go over to 4 seconds and then up, the line is at 10 feet; this means it fell 2 feet in 4 seconds.  This is <u>too fast</u>.

On the <u>last graph</u>, going over to 4 seconds and then up, the line is at 11 feet; this means it fell 1 foot in 4 seconds.  <u>This is correct</u>.
5 0
2 years ago
Read 2 more answers
Marjorie is building a dog run that is 25'8" long and 8'8" wide. How much fencing will she need if the opening is 3'6" wide and
antiseptic1488 [7]

Answer:

782 in

Step-by-step explanation:

To find the length of fence, we have to find the perimeter first.

Given

Length = l = 25 feet 8 in

Width = w = 8 feet 8 in

Opening = o =3 feet 6 in

So,

we have to convert the lengths into same unit first

So,

l = (25*12)+8 = 308 in

w = ( 8*12) +8 = 104 in

O = (12*3) + 6 = 42 in

Perimeter = 2(l+w)

= 2(308+104)

=2(412)

=824

As the opening does not need fencing

Total fence = P - o

= 824 - 42

=782 in

or

65 feet 2 in ..

3 0
2 years ago
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