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Phantasy [73]
3 years ago
9

A company's board of directors votes to declare a cash dividend of $1.50 per share of common stock. the company has 30,000 share

s authorized, 25,000 issued, and 24,500 shares outstanding. the total amount of the cash dividend is:
Mathematics
1 answer:
Zarrin [17]3 years ago
5 0
The total amount of dividend will be:
Total=(Number of issued shares)*(dividend per share)
Number of issued shares=25000
dividend per share=$1.5
thus the total dividend will be:
1.5*25000
=$37500
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3 years ago
If a loan of 1,500 at 4% is paid off in 90 days what is the interest
slega [8]

Answer:

Compound interest =$14.58

Simple Interest=$14.79

Step-by-step explanation:

Let's assume the interest rate charged on the loan was simple in nature.

-Simple interest is calculated using the formula:

I=PRT,\\\\=1500\times 0.04\times \frac{90}{365}\\\\=14.79

Hence, the simple interest on the loan was $14.79

#If the interest is compound in nature with just one compounding per year:

A=P(1+i)^n\\\\I=A-P\\\\I=1500(1.04)^{90/365}-1500\\\\=14.58

Hence, the compound interest charged on the loan is $14.58

3 0
3 years ago
Solve 2x+3y=2<br> 5x-y=-29<br> By elimination
Andreyy89

Answer:

\huge\boxed{x=-5,\ y=4\to(-5,\ 4)}

Step-by-step explanation:

\left\{\begin{array}{ccc}2x+3y=2\\5x-y=-29&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+3y=2\\15x-3y=-87\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad17x=-85\qquad\text{divide both sides by 17}\\.\qquad\dfrac{17x}{17}=\dfrac{-85}{17}\\.\qquad\boxed{x=-5}\\\\\text{Substitute it to the second equation:}\\\\5(-5)-y=-29\\\\-25-y=-29\qquad\text{add 25 to both sides}\\\\-25+25-y=-29+25\\\\-y=-4\qquad\text{change the signs}\\\\\boxed{y=4}

5 0
4 years ago
the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 48 M. the length of the alley
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Answer:

Length is 20 m and width is 4 m.

Step-by-step explanation:

Given:

Perimeter of the rectangular alley, P=48\textrm{ m}

Length is 5 times the width.

Let width be x.

So, as per question,

Length,l = 5x

Now, perimeter of rectangle is given as:

P=2(l+b)

Plug in 48 for P, 5x for l and x for b.

48=2(5x+x)\\48=2(6x)\\48=12x\\x=\frac{48}{12}=4

Therefore, width is 4 m.

Length is 5x=5\times 4=20 m.

8 0
4 years ago
NEED HELP NOW 25 POINTS!!!!!!!
AysviL [449]
70 degrees, hope this helped.
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4 years ago
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