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podryga [215]
2 years ago
14

QUESTION 1 of 10: A corporation sold 100,000 shares of stock when the company was formed at $20 per share. After the first year

of
operations the company made a profit of $25,000 and distributed dividends of $.10 per share. What was the total value of stockholder's equity
at the end of the year?
Mathematics
1 answer:
tiny-mole [99]2 years ago
3 0

Answer:

option b. $2,000,000.

Step-by-step explanation:Explanation:

Increase in stockholders equity = Number of shares sold * Selling price per share

Increase in stockholders equity = 100,000 shares * $20

Increase in stockholders equity = $2,000,000

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Calculate the equation of the line if two points are (1,6) and (5,0) Hint, you will have to find the slope of the line and then
motikmotik

Answer:

The equation is y=\frac{-3}{2} x-9

Step-by-step explanation:

First, you will have to find the slope of the two points.To do that, you will have to use the formula : m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

Our points are (1,6) and (5,0)

We will have to substitute the points into the formula.

m=\frac{0-6}{5-1}

Then, we will simplify

m= \frac{-6}{4}

We could simplify that fraction into \frac{-3}{2}

So, our slope is \frac{-3}{2}

We will have to pick a coordinate point, and choose. I chose (1,6)

We will substitute the x-value and the y-value of the coordinate point, including our slope, to calculate the y-intercept.

The formula we will be using is y=mx+b

We will substitute in our values which will make it look like:

6=\frac{-3}{2} (1)+b

We will then multiply \frac{-3}{2} by 1 which will stay the same.

Then, we will multiply \frac{-3}{2} by 6 which will equal -9

-9=b

Hence, the equation for our line is y=\frac{-3}{2} x-9

Hope it helped:D

<u><em>-Jazz</em></u>

5 0
2 years ago
A statistics professor drew a random sample of 81 observations and found that x with bar on top equals 62 s equals 15. Estimate
ratelena [41]

Answer:

LCL = 59.26 to two decimal places

Step-by-step explanation:

Here, we want to estimate the LCL of the population mean with 90% confidence

We proceed as follows;

Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15

Mathematically;

LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81

LCL = 62- (24.675)/9 = 59.2583

LCL = 59.26 to two decimal places

3 0
1 year ago
Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.He spun a 4 five time
kogti [31]
If the number of trials is changed the number of experimental outcomes also changes
6 0
2 years ago
A Candlestick burns at a rate of 0.2 inches per hour. After 8 straight hours of burning , the candlestick is 13.4 inches tall. W
Montano1993 [528]

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:

A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

d = - 0.2 (it is decreasing)

n = 8

T8 = 13.4 inches

We want to determine the value of the first term, a. Therefore,

13.4 = a - 0.2(8 - 1)

13.4 = a - 1.4

a = 13.4 + 1.4 = 14.8 inches

8 0
2 years ago
Drag each expression to show whether it is equivalent to (5⋅9x)+(5⋅1), 45x+15, or 15(3x−1).
JulijaS [17]

Part A: Option e: 5(9 x+1)

           Option f: 45 x+5

Part B: Option c: 15(3 x+1)

           Option d: (5 \cdot 9 x)+(5 \cdot 3)

Part C: Option a: (5 \cdot 9 x)-(5 \cdot 3)

           Option b: 45 x-15

Explanation:

Part A: The equation is (5 \cdot 9 x)+(5 \cdot 1)

Simplifying, we have,

45x+5

Taking the term 5 common out, we have,

5(9 x+1)

Thus, the above two expressions are equivalent to the equation (5 \cdot 9 x)+(5 \cdot 1).

Hence, Option e and Option f are the correct answers.

Part B: The equation is 45 x+15

Taking the term 15 common out, we have,

15(3 x+1)

Also, the equation can be rewritten as,

(5 \cdot 9 x)+(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 45 x+15

Hence, Option c and Option d are the correct answers.

Part C: The equation is 15(3 x-1)

Multiplying, we have,

45 x-15

The above expression can be rewritten as,

(5 \cdot 9 x)-(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 15(3 x-1)

Hence, Option a and Option b are the correct answers.

3 0
2 years ago
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