The coordinates of the vertices of the image are L' = (-4, 6), M' = (-5, 1) and N' = (-7, 3)
<h3>What are the coordinates of the vertices of the image?</h3>
The vertices of the preimage of the triangle are given as:
L = (4, -6)
M = (5, -1)
N = (7, -3)
The rotation is given as: 180 degrees counterclockwise
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The rule of this rotation is
(x, y) => (-x, -y)
So, we have:
L' = (-4, 6)
M' = (-5, 1)
N' = (-7, 3)
Hence, the coordinates of the vertices of the image are L' = (-4, 6), M' = (-5, 1) and N' = (-7, 3)
Read more about rotation at:
brainly.com/question/4289712
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Answer:
$0.025x² . . . where x is a number of percentage points
Step-by-step explanation:
The multiplier for semi-annual compounding will be ...
(1 + x/2)² = 1 + x + x²/4
The multiplier for annual compounding will be ...
1 + x
The multiplier for semiannual compounding is greater by ...
(1 + x + x²/4) - (1 + x) = x²/4
Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.
If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...
$250·(x/100)² = $0.025x² . . . where x is a number of percentage points
_____
<u>Example</u>:
For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.
Answer:
Since the sum of the angles equal to 720, you have to add all the angles to add to 720 and then solve for x, in which would look like this (x+2)+(x-4)+(x+6)+(x-3)+(x+7)+(x-8)=720, which is simplified to (6x)=720, in which will make x=120. Next, since its angle E, you plug in tha x value, (120+6), in which the ANSWER IS 126 DEGREES
Step-by-step explanation:
Hope this help ^w^
Answer:
The answers are given below.
Step-by-step explanation:
The computation is shown below:
1.a.
Profit Margin = Net Income ÷ Sales × 100
= $374 ÷ $6,900 ×100
= 5.4%
1-b:
Average Assets = (Beginning Assets + Ending Assets) ÷ 2
= ($3,200 + $3,600) ÷ 2
= $3,400
Now
Return on Assets = Net Income ÷ Average Assets
= $374 ÷ $3,400
= 11%
1-c
Average Equity = ($700 + $700 + $320 + $270) ÷ 2
= $995
Now
Return on Equity = Net Income ÷ Average Equity *100
= $374 ÷ $995
= 37.59%
2:
Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings
= $270 + $374 - $320
= $324
