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3 years ago

A firm has a debt to asset ratio of 75%, $264,000 in debt, and net income of $49,280. calculate return on equity

1 answer:

3 0

Asset = 264,000 / 0.75 = $352,000
Shareholders equity = $352,000 - $264,000 = 88,000

Return on equity = 49,280 / 88,000 x 100% = 56%

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Is it possible for two rectangles to have the same area but only if they also have the same perimeter

SpyIntel [72]

Yes, this can happen if the rectangles are the same dimensions, BUT NO if the dimensions are different.

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3 years ago

Is it possible to draw a triangle with numbers 5,6,11

Tatiana [17]

Answer:

Step-by-step explanation:

Let's use the Pythagorean Theorem. For those of you that don't know, it is $a^2 + b^2 = c^2\\$ .

11 is the bigger side in this case, so our formula would go like this: $5^2 + 6^2 = 11^2\\$ .

We now calculate to see if this is true.

25 + 36 $\neq$ 121

Therefore, the answer is wrong.

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3 years ago

Read 2 more answers

What is the surface area of cone below Diameter AB=21 and distance from B to C =36

Vesnalui [34]

Answer:

1533.88261311522

Step-by-step explanation:

Let r be the radius of the (base/circle)

and L be the slant height of the cone

Formula ………………………………………………………………………………………………………

The surface area of a cone = the (curved/lateral) surface area + the base

$=\pi r^{2}\ \ \ +\ \ \ \pi Lr$

=========================================

$r=\frac{21}{2} =10.5$

L = BC = 36

$\text{surface area} =\pi \left( 10.5\right)^{2} +\pi \times 36\times \left( 10.5\right)$

$=346.360590058275 + 1187.52202305694$

$=1533.88261311522$

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2 years ago

Here is a picture of a cube, and the net of this cube.

makvit [3.9K]

Answer:

96 ft²

Step-by-step explanation:

in a cube all sides are congruent so you take one measurement and multiply it by the number of sides, so you do 16 × 6 equals 96.

4 0

3 years ago

Read 2 more answers

The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.

$h^-^1\ o\ h$

$\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x$

Now substitute (-3) in place of (x),

$=-3$

8 0

3 years ago