The required debt-equity ratio is 14:15
<u>Solution:</u>
<em>Given:</em>
Liabilities of the company = $14000
Equity of the company = $15000
<em>To calculate: </em>The debt-equity ratio
Here, the liabilities are included in the debt of the company. The debt-to-equity (D/E) ratio is calculated by dividing a company's total liabilities by its shareholder equity. Therefore, the debt equity ratio is as follows,


The debt-equity ratio reflects the ability of shareholder equity to cover all outstanding debts in the event of a business downturn.
Answer:
<em>Option c</em>
Step-by-step explanation:
<u>Best Fit Regression Model
</u>
When experimental data is collected, scientists frequently ask themselves if there is a relationship between some of the variables under study. It's crucial in modern times where artificial intelligence technology is trying to find key answers where traditional approaches hadn't before.
One of the most-used tools to find relations between variables is the regression model and its best fit lines to try to find an expression who relates variable x (years from 1960) and variable y (minimum wage requirement) as of our case.
The provided data was entered into a digital spreadsheet and an automatic function was applied to find the best-fit model.
We found this equation:

when rounded to three decimal places, we find

Which corresponds to the option c.
A: The center is the mid point of the diameter. So, the center of the circle will be the midpoint of points P and Q. The coordinates of the midpoint are the averaged coordinates of the endpoints.
So, the x-cooardinate of the center is the average of the x-coordinates of P and Q:

Try to do the same thing with the y coordinates, and you'll get the y-coordinate
. This first part will be over, because the circle will be point

B: The radius is exactly half the diameter. So, we find the length of the diameter, and we divide it by 2. To find the length of the diameter, we use the standard formula for the distance between two points:

Divide this length by 2 and you'll get the radius.
C: At this point, we have both the radius and the coordinates of the center. The equation of the circle depends on these two parameters, and it is

Substitute
and
with the coordinates of the center (found in point A.) and
with the radius (found in point B.) and you'll have the equation of the circle.
Answer:Tiffany has 28 Justin has 64
Step-by-step explanation:
64+28=92
Carlos and Mike earn same amount for 10 hours of part time work
<em><u>Solution:</u></em>
Let "x" be the number of hours worked by Carlos and mike
Given that,
<em><u>Carlos earns $7.25 per hour plus a $10 bonus</u></em>
Thus, total amount earned by Carlos for "x" hours is given by:
total earned = 7.25(number of hours) + $ 10
total earned = 7.25x + 10 ----- eqn 1
<em><u>Mike earns $7.75 per hour plus a $5 bonus</u></em>
Thus, total amount earned by Mike for "x" hours is given by:
total earned = 7.75(number of hours) + $ 5
total earned = 7.75x + 5 ------- eqn 2
To find number of hours, they earn same amount, equate eqn 1 and eqn 2
7.25x + 10 = 7.75x + 5
7.75x - 7.25x = 10 - 5
0.5x = 5
x = 10
Thus for 10 hours, they earn the same amount