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Rashid [163]
3 years ago
15

Factor the expression completely by first taking out a common factor 3x^2 + 27x +24

Mathematics
1 answer:
Mrac [35]3 years ago
4 0
The answer to this is
3(x+1)(x+8)

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There are 7,500 shares of $10 par value participating 9 percent preferred stock outstanding, and 32,500 shares of common stock o
astraxan [27]
<h2>Answer:</h2><h2>Free distributable dividend = $ 27000</h2>

Step-by-step explanation:

There are 7,500 shares of $10 par value participating 9 percent preferred stock outstanding, and 32,500 shares of common stock outstanding. Therefore,

dividend paid to common stockholder =32500(0.50) = $ 16250

Preferred Stock dividend= 7500 (10) (0.09) = $ 6750

considering total dividend paid $ 50000 includes preferred dividend,then free distributable dividend = 50000 - 16250 - 6750 = $ 27000

8 0
3 years ago
What is k? (look at the attached photo for the problem, thank you!!)
ycow [4]
The solution for k would be 12
8 0
3 years ago
Twice the difference of a number and 4 is equal to three times the sum of the number and 6. Find the number.
aivan3 [116]

Answer:

-26

Step-by-step explanation:

2(x-4)=3(x+6)

2x-8=3x+18

2x-2x -8 = 3x-2x +18

-8 =X+18

-8-18=x+18-18

-26 = x

8 0
4 years ago
You are standing 400ft away from a building that is 850ft tall. Find the angle of elevation from where you’re standing to the to
klio [65]

Answer:

The angle of elevation is approximately 64.8^o

Step-by-step explanation:

Notice that the two pieces of information given: "400 ft away from a building", and building that is "850 ft tall", can be regarded as the two legs of a right angle triangle (see attached image).

Then the angle \theta that we are trying to find (the angle of elevation) can be found by using the arc-tangent function:

tan(\theta)=\frac{850}{400} \\tan(\theta)=\frac{17}{8}\\\theta =arctan(\frac{17}{8})\\\theta = 64.8 ^o

4 0
3 years ago
A one-night stay at the Great Wolf Lodge is
Andreyy89

Answer: $252.68

Step-by-step explanation:

Find 12.75% of 249 by using formula T= A + (A•I/100)

T=249+(249•12.75)/100)= 31.75 (taxes)

Then add taxes to room cost;

249+31.75= 280.75

Then you’d apply the coupon of 10% by using; Discount = Original Price x Discount %/100

Discount = 10% or 10/100=0.1

Discount = 280.75 x 0.1

= $28.08

Now you’d find the final price by;

Final Price = Original Price - Discount

Final Price = 280.75 - 28.075

Final Price = $252.68

5 0
3 years ago
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