Mr. Cahn’s total earnings in a year is $18,900.
<h3>What is the total earnings?</h3>
The total earnings is a function of the annual salary, commission and Christmas bonus.
Total earnings = annual salary + commission + Christmas bonus
Commission = 6% x (160,000 - 20,000)
6% x $140,000
0.06 x 140,000 = $8,400
Total earnings = $8,400 + 10,000 + $500 = $18,900
To learn more about addition, please check: brainly.com/question/19628082
#SPJ1
Answer:
1). The constant of variation is 7
2). w = 6 for the given values of x and y
Step-by-step explanation:
"Varies jointly" tells us that y is a direct result of a mathematic operation involving x and w. We will assume y is directly prorportional to x and w, in the sense that we can find a multiplicative relationship of the form y=Kxw, where K is the constant of variation.
We are given one data point: y=-42 where x is 2 and w is -3. Let's put those values into our trrial expression:
y=Kxw
-42=K(2)(-3)
-42 = -6K
K = 7
<h2>The expression becames <u>
y = 7xw</u></h2>
The constant of variation is 7.
The value of w for y=3 and x=(1/14) would be:
y=7xw
3 = 7*(1/14)*w
3 = (1/2)*w
<h2><u>
w = 6</u></h2>
The sample is 200 randomly selected students.
The following things should be considered:
- Let us assume the no of siblings for each student be x.
- Now for determining the mean no of siblings she choose 200 students.
So, here the sample should be 200 randomly selected students.
Therefore the other options should be incorrect.
Thus we can conclude that the sample is 200 randomly selected students.
Learn more about the sample here: brainly.com/question/13287171
Using the given information, the height of the tree is 48 ft
<h3>Trigonometry </h3>
From the question, we are to determine the height of the tree
In the given diagram, the height of the tree is (x + 5) feet
First, we will determine the value of x
tan 47° = x / 40
x = 40 × tan47°
x = 42.89 ft
∴ The height of the tree = (42.89 + 5) ft
Height of the tree = 47.89 ft
Height of the tree ≈ 48 ft
Hence, the height of the tree is 48 ft.
Learn more on Trigonometry here: brainly.com/question/15821537
#SPJ1
