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liubo4ka [24]
3 years ago
8

The DuPont equation shows the relationships among asset management, debt management, and ratios. Management can use the DuPont e

quation to analyze ways of improving the firm's performance. Its equation is:
Mathematics
1 answer:
eduard3 years ago
6 0

Answer:

Return on equity (ROE) = profit margin × asset turnover × financial leverage

Step-by-step explanation:

Return on equity (ROE) = profit margin × asset turnover × financial leverage

Which can be written as:

ROE = (net income÷ sales) × (sales ÷ total assets) × (total asset ÷ average shareholder equity)

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A cone has a volume of 50π in3 and a diameter of 10 in. Wilson states that a cylinder with the same height and diameter has the
QveST [7]

Answer:

A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ; therefore, Wilson is incorrect ⇒ last answer

Step-by-step explanation:

* Lets revise the volume of the cone and the cylinder

- The volume of cone is 1/3 πr²h, where r is its radius and h is its height

- The volume of the cylinder is πr²h

* Lets solve the problem

∵ The cone has a volume 50π inches³

∵ The diameter of the cone is 10 inches

∵ The diameter is twice the radius

∴ 2r = 10 ⇒ divide both sides by 2

∴ r = 5

∵ The rule of the volume of the cone = 1/3 πr²h

∴ 50π = 1/3 π (5²)h

∵ 50π = 1/3 (25π)h ⇒ divide both sides by 25π

∴ 2 = 1/3 h ⇒ multiply both sides by 3

∴ 6 = h

∴ The height of the cone is 6 inches

- The cylinder has the same diameter and the same height of the cone

∵ The diameter of the cone = 10 inches

∵ The height of the cone = 6 inches

∴ The diameter of the cylinder is 10 inches

∴ The height of the cylinder is 6 inches

∵ The rule of the volume of the cylinder is πr²h

∵ The radius of the cylinder = 10/2 = 5 inches

∴ The volume of the cylinder = π(5²)(6) = 150π inches³

* The volume of the cylinder not equal the volume of the cone

∴ A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ;

   therefore, Wilson is incorrect.

5 0
3 years ago
Read 2 more answers
What is the median of the following numbers: 120, 35, 42, 119, 120.5, 99, 72 ? *
Roman55 [17]

Answer:

the median is 99

Step-by-step explanation:

(lowest) 35, 42, 72, <u>99</u>, 119, 120, 120.5 (highest)

the median is the middle #

the middle # is 99

6 0
3 years ago
Find the difference.<br> -7-(-5)
Dvinal [7]

Answer:

Remember: minus a minus is a plus:

=11

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centime
zheka24 [161]

Answer:

34 cm

Step-by-step explanation:

The actual question is How many inches of ribbon Peter will need to make the "X".

Using the Pythagorean theorem, the length of the diagonal of a square with 12 cm sides is:

d^2=12^2+12^2\\d=\sqrt{288}\\ d=16.97\ cm

Since the "X" requires two diagonals, the length of ribbon required is:

L=2*16.97\\L=34\ cm

The length required, rounded to the nearest centimeter, is 34 cm.

6 0
3 years ago
Perimeter of a triangle with side length of 13.9in,10.4,8.5in
AlladinOne [14]

Perimeter =a+b+c

13.9 + 10.4 + 8.5 =

32.8 in (perimeter)


6 0
3 years ago
Read 2 more answers
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