Answer:
$129 000/yr
Step-by-step explanation:
Weighted average is used to answer this question.
<em>total employees are 20</em>
10 employees make 80 000
<em>total earning for 10 employees </em>= 80 000 * 10 = 800 000 (multiplying)
6 employees make 150 000
<em>total earning for 6 employees= </em>150 000 * 6 =900 000<em> (multiplying)</em>
4 employees make 220 000
<em>total earning for 4 employees </em>= 220 000 * 4 = 880 00<em>0 (multiplying)</em>
<em />
<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>
<em>weighted average =</em> (800 000 + 900 000 + 880 000)/20
<em />
<em>weighted average = </em>2580000/20
<em />
<em>Weighted average = </em>129 000
<em />
True because it’s constant
Answer:
Radius:
Step-by-step explanation:
Given
Solving (a): The radius of the circle
First, we express the equation as:
Where
So, we have:
Divide through by 9
Rewrite as:
Group the expression into 2
Next, we complete the square on each group.
For
1: Divide the
2: Take the
3: Add this
So, we have:
Factorize
Apply the same to y
Add the fractions
Recall that:
By comparison:
Take square roots of both sides
Split
Rationalize
Solving (b): The center
Recall that:
Where
From:
and
Solve for h and k
and
Hence, the center is: