Jean Gray's total earnings over the past week was $3,925
Since Jean earns 4% for the first $2,00 business she does, she earns a base commission of = $2,000*0.04 = $80
Now, we need to find how of additional sales did Jean do over and above the base of $2,000. This is calculated as follows:
Total Sales = 3,925
Base sales =2,000
Add-on sales = 3,925-2,000 = 1,925
For the $1,925 sales, Jeans earns 8% commission, her commission for this will be 1,925*0.08 = $154
So, the total commission = $80 + $154 = $234
Her commission for the week was $234
Answer:
Options B, D and E
Step-by-step explanation:
Given equation is,
-4x + 5y - 12 = 8
-4x + 5y = 20
If a point given in the options lie on the line, point will satisfy the equation.
Option A.
For a point (5, 0),
-4(5) + 5(0) = 20
-20 = 20
False
Therefore, (5, 0) will not lie on the given line.
Option B
For (-2, 2.4)
-4(-2) + 5(2.4) = 20
8 + 12 = 20
20 = 20
True.
Therefore, (-2, 2.4) will lie on the given line
Option C
For (8, 5),
-4(8) + 5(5) = 20
-32 + 25 = 20
-7 = 20
False
Therefore, (8, 5) will not lie on the line.
Option D
For (10, 12)
-4(10) + 5(12) = 20
-40 + 60 = 20
20 = 20
True.
Therefore, (10, 12) will lie on the line.
Option E
For (0, 4)
-4(0) + 5(4) = 20
20 = 20
True.
Therefore, (0, 4) will lie on the line.
Options B, D and E are correct.
Answer:
Step-by-step explanation:
Assuming that the tree is perpendicular with the ground, we can use trigonometric ratios to find the height of the tree.
First, let's draw a diagram. From the point on the ground to the base, it is 120 feet and forms a 30 degree angle. We want to find the height of the tree, which is labeled h. (The diagram is attached and not to scale).
Next, recall the ratios.
- sin(θ)= opposite/hypotenuse
- cos(θ)= adjacent/hypotenuse
- tan(θ)= opposite/adjacent
We see that the height is opposite the 30 degree angle and 120 is adjacent.
Since we are given opposite and adjacent, we must use tangent.
Substitute the values in.
We are solving for h, so we must isolate it. It is being divided by 120 and the inverse of division is multiplication. Multiply both sides by 120.
Round to the hundredth place (2 decimal places). The 2 in the thousandth place tells us to leave the 8 in the hundredth place.
The height of the tree is about <u>69.28 feet.</u>
Answer:
900
Step-by-step explanation:
