MATHEMATICS HIGH SCHOOL

George bought a Christmas tree to put in his living room.He paid$50 for his tree. After he took it home, he realized it was too tall and sold it to his neighbor for $60.his neighbor put the lights on the tree and then decided the tree was to wide. George looked at the tree again and offered to buy the tree back for $70. He was no longer pleased with the tree so he sold it for$80. What was George 's financial outcome on hie venture?

Answers

Answer 1

Answer:

George's financial outcome includes a profit of $20.

We have a buy and sell situation between George and his Neighbor as mentioned in the question.

We have to find out about George 's financial outcome after the complete process.

What is the formula to calculate the profit and loss of an object?

The formula to calculate -

Profit = Cost price - Selling price

Loss = Selling price - cost price

According to the question, we have -

Case - 1 :

Cost of tree bought by George = $50

Amount at which he sold it to his neighbor = $60

Case - 2 :

New Cost George offered to buy the tree back = $70

New cost at which the George sold it again = $80

Now -

Profit in Case 1 for George = $60 - $50 = $10

Profit in Case 2 for George = $80 - $70 = $10

Now -

initial cost of tree = $60

final cost at which George sold it = $80

Profit = $80 - $ 60

Profit = $ 20

Hence, George's financial outcome includes a profit of $20.

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Answer 2

Answer: George's financial outcome was $70. He bought it for $50, and then he sold it for $60 in return. He bought it for $70 again, so subtract 60-70= -10. He then sold it for $80 which he gained so -10 + 80 = $70.

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The structure most responsible for maintaining cell homeostasis in any given cell is the

Answers

Answer: the plasma membrane

Step-by-step explanation: It controls what enters and exits the cell based on what the cell requires to function and live. It functions as a boundary separating the external environment from the internal environment.

Final answer:

The main structure responsible for maintaining cell homeostasis is the cell membrane, which is selectively permeable, thus regulating molecules' movement across the membrane. The cytoplasm and nucleus also contribute to maintaining homeostasis.

Explanation:

The structure most responsible for maintaining cell homeostasis in any given cell is mainly the cell membrane. The cell membrane plays a key role in managing homeostasis through becoming selectively permeable. This means the cell membrane allows certain molecules to pass through via the constant movement of molecules across it, yet it restricts others. This selective process helps in maintaining the internal balance of the cell, ensuring that the essential molecules necessary for cellular processes are kept inside, and unnecessary or harmful molecules are kept out.

Besides the cell membrane, the cytoplasm and the nucleus also play parts in cellular homeostasis. The cytoplasm houses organelles and chemicals necessary for various metabolic reactions and protein syntheses. The nucleus, acting as the control center of the cell, holds the genetic material that dictates the cell's function and structure.

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A plane intersects a double-napped cone so that it contains the generating line.Which geometric shape is formed?
Circle
Point
Parabola
line
And
17. what is the length of the segment whose endpoints are A(-4,3) and B(10,6) in square root form.

Answers

To understand this picture 2 cones that are stacked one on top of another. A double-napped cone is created when a generator is rotated about a fixed vertical axis. A line is created when the cone is cut by a plane containing the generator. Please see the attachment to help you understand this.

I hope this helps, Regards.

Given the volume of a cube is 8 cubic meters, findthe distance from any vertex to the center point
inside the cube.
(A) 1 m
(B) √2 m
(C) 2√2 m
(D) 2√3 m
(E) √3 m

Answers

$V=8m^3\n\nV=a^3\n\na^3=8m^3\to a=\sqrt[3]{8m^3}=2m\n\ndiagonal\ of\ a\ cube:D=a\sqrt3\n\nD=2\sqrt3m\n\nDistance\ from\ any\ vertex\ to\ the\ center\ point\ inside\ the\ cube\nis\ a\ half\ of\ a\ diagonal:\n2\sqrt3:2=\sqrt3\ (m)\n\nAnswer:E$

What is 40 percent as a decimal?

Answers

Your answer= .4
To change 40% into a fraction, you have to move the decimal two spots to the left. If you are turning a decimal into a percent, you would move the decimal two spots to the right.

Answer:

$\Large \boxed{0.4}$

Step-by-step explanation:

To write a percent for a decimal, move the decimal point two places to the right. Add the percent sign.

First, divide by 100.

40/100=0.4

Therefore, the correct answer is 0.4.

Complete the equation to show two equivalent expressions.

g2 – 4g – 21 = (g – )(g + )

Answers

Answer:

$g^2-4g-21=(g-7)(g+3)$

Step-by-step explanation:

To complete the left side of the equation, we need to bring it to the form

$(g-a)(g+b)$

expanding this expression we get:

$g^2+bg-ag-ab$

$g^2+(b-a)g-ab$

Thus we have

$g^2-4g-21=g^2+(b-a)g-ab$

from here we see that for both sides of the equation to be equal, it must be that

$b-a=-4$

$-ab=-21$ .

Getting rid of the negative signs we get:

$a-b=4$

$ab=21$

At this point we can either guess the solution to this system (that's how you usually solve these types of problems) or solve for $a$ and $b$ systematically.