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3 years ago

Completely factor. x^4 + 3x^3 + 4x^2 + 12x = 0

Mathematics

1 answer:

sineoko [7]3 years ago

8 0

Answer:

x⁴ + 3x³ + 4x² + 12x = 0

<=> x³(x + 3) + 4x(x + 3) = 0

<=> (x³ + 4x)(x + 3) = 0

<=> x(x² + 4)(x + 3) = 0

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A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells

Mama L [17]

Answer:

the equilibrium expected growth rate is 6.65%

Step by step Explanation:

We were given stock sold per share of $32.50

Dividend per share =$1.25

Required Return rate = 10.5%

Then we can calculate Percentage of Dividend for share as;

dividend of br. 1.25 per share at the end of the year (D1=br.1.25)

= 1.25×100= 125

Let the dividend percentage = y

stock sold per share × y= 125

125= 32.50y

y = 125/32.50

y= 3.85

y= 3.85*100%

Then the Dividend percentage = 3.85%

Growth rate=(required rate of return -Dividend percentage)

= 10.5 - 3.85 = 6.65

Therefore, the equilibrium expected growth rate is 6.65%

3 0

4 years ago

Find the values for x and y.

vivado [14]

Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90
$180 - 90$
to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90
$90 \div 5 = 18$
and we get 18 which is X.
$x = 18$
Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.
$5(y + 11) + 4y - 10 = 180$
First, distribute 5(y + 11)
$5 \times y \\ 5 \times 11$
Then you get this equation :
$5y + 55 + 4y - 10 = 180$
Now, add the two equations together
$5y + 55 + 4y - 10$
and you get this equation

$9y + 45 = 180$
Now subtract 45 from both sides
$9y + 45 - 45 = 180 - 45$
and divide by 9 on both sides
$9y \div 9 = 135 \div 9$
and you get your answer
$y = 15$

So
$x = 18$
and
$y = 15$

8 0

3 years ago

-4.35

Advocard [28]

Answer:

The answer is -4.35

Step-by-step explanation:

3/8 = 0.375

x = 0.4

Now,

3/8x - 4.5

0.375 × 0.4 - 4.5

0.15 - 4.5 = -4.35

Thus, The answer is -4.35

<u>-TheUnknownScientist</u><u> 72</u>

7 0

3 years ago

Can someone explain why A is the right answer to this question? I'm unsure of how to work out this problem.

joja [24]

So firstly, we have to find the radius of the circular garden before finding the circumference (the amount of fencing needed to surround the garden). To find the radius, use the area formula ( $A=\pi r^2$ ), plug in the area of the garden (36 ft^2) and solve for r as such: