The slope is 0 in this case because you are not moving up or down to get to the next point.
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Answer:
x = 50°
Step-by-step explanation:
Step 1.
180° - 80° (because there are 180 degrees in a triangle) = 100°
Step 2.
100° ÷ 2 = 50° (because the two angles on the bottom are identical, as this is an isosceles triangle - which we know because the two sides on the left and right are both the same length, 7 units)
Step 3.
Answer: x = 50°
Answer:
$318
Step-by-step explanation:
The treasury bond is $10,000
The current yield is 3%
= 3/100
=0.03
It is quoted at 106 points
The first step is to calculate the price of the bond
Price of the bond= $10,000×106/100
= $10,000×1.06
= $10,600
Therefore the annual interest can be calculated as follows
Annual interest= $10,600×0.03
= $318
Hence the annual interest is $318
Answer:
x=133 y=-25
Step-by-step explanation:
I'll do both ways for you. So let's start with Substitution:
With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.
x + 2y = 83 & x + 5y = 8
Solve for x.
x = 83 - 2y & x = 8 - 5y
Once you have solved for x, set each equation equal to one another and solve for y now.
83 - 2y = 8 - 5y
Isolate all variables to one side:
83 = 8 - 3y
Now subtract the 8 to fully isolate the y variable:
75 = -3y
Divide by -3:
-25 = y Now that you have your first variable, plug it into one of the original equations and solve for x.
x + 2(-25) = 83
x - 50 = 83
x = 133
Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:
Put each equation on top of one another and subtract:
x + 2y = 83
- (x + 5y = 8)
The x's will cancel out:
(x - x) + (2y - 5y) = (83 - 8)
Simplify:
-3y = 75
Solve for y
y = -25
Then, plug y = -25 into one of the original equations:
x + 5(-25) = 8
Solve for x:
x - 125 = 8
x = 133
Hope this helps!
Answer:
You put i at the end.
Step-by-step explanation:
The correct answer is u^5 remove the i.
