Answer: The interest rate is .166%
Step-by-step explanation:
So what I did was divide $50(Amount at the end) by 6 (the number of months). Which would give me the amount of money he made per month ($8.333...). So then $8.333.../$5000(Total $) is .166...% (Interest rate)
-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;
-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.
I can see the function right now, but I'll show you how to go through the steps to
find the function. I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ?
Somebody give me the answer !".
Just take a look at what has already been handed to you:
0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees
You know three points on the line !
(0, 65) , (1, 62) , and (2, 59) .
For the first point, 'x' happens to be zero, so immediately
you have your y-intercept ! ' b ' = 65 .
You can use any two of the points to find the slope of the line.
You will calculate that the slope is negative-3 . . . which you
might have realized as you read the story, looked at the numbers,
and saw that they are <u>firing 3 employees per month</u>.
("Losing" them doesn't quite capture the true spirit of what is happening.)
So your function ... call it ' W(n) ' . . . Workforce after 'n' months . . .
is <em>W(n) = 65 - 3n</em> .
5x-3=42. To solve you add three to both sides making the equation 5x=45. Then you divide both sides by five, and you get 9 as your answer.
The saying "A picture is worth a thousand words" comes to mind here. You can list all of the possible points in a solution region, or you can list a few points to give the general pattern. Though this method requires a bit more work than simply graphing and showing the solution shaded region. A visual is often more efficient at conveying a message especially to those who aren't proficient with algebra. I'm sure there are other reasons why graphs are the better choice, but that's all I could think of really.
The area of a shape is the amount of space a shape can occupy, while the perimeter is the sum of its lengths.
- <em>The perimeter is </em>
<em>units</em> - <em>The area of the sanctuary is 27 square units</em>
We have:
<u>Perimeter</u>
See attachment for the layout of the sanctuary
From the attachment, the sides are
<em>AB, BF, FC, CD, DE and EA</em>
Start by calculating the length of each side using the following distance formula:
So, we have:
So, the perimeter (P) is:
<em>Hence, the perimeter is </em><em>units</em>
<u />
<u>Area</u>
To calculate the area, we need to divide the sanctuary into three.
- <em>Triangle ABF</em>
- <em>Triangle EFA</em>
- <em>Trapezium CDEF</em>
The area of ABF is:
Where:
The area of EFA is:
Where:
So:
The area of CDEF is:
Where
So, we have:
So, the area of the sanctuary is:
<em>Hence, the area of the sanctuary is 27 square units</em>
Read more about areas and perimeters at:
brainly.com/question/11957651
