Answer: Quadrant 2
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Explanation:
Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.
The reflection rule is
showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.
The point started in quadrant 3 and it moves to quadrant 2 after the reflection over the line y = 0.
Side note: all points on the line y = 0 have a y coordinate of 0
The opposite of the number -2 1/3 is 2 1/3 because if you look at a number line you will see that -2 1/3 and 2 1/3 are on opposite sides of the line
The amount of tax would be $67.92. the total he would pay would be $916.92
Answer:
$1445.11
Step-by-step explanation:
The formula to use would be:
![F=P(1+r)^t](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et)
Where
F is the future amount (what we want to find)
P is the present (principal) amount (this is 400)
r is the rate of interest, monthly (1.8% or 0.018)
t is the time in months (6 years = 6 * 12 = 72)
Now substituting, we get:
![F=P(1+r)^t\\F=400(1+0.018)^{72}\\F = 400(1.018)^{72}\\F=1445.11](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et%5C%5CF%3D400%281%2B0.018%29%5E%7B72%7D%5C%5CF%20%3D%20400%281.018%29%5E%7B72%7D%5C%5CF%3D1445.11)
After 6 years, the CD will be worth $1445.11
Answer:
x = -2, proven below.
Step-by-step explanation:
3x + 7 + 2(4x+1) = 3(x-1) - 4
3x + 7 + 8x + 2 = 3x - 3 - 4
9 + 11x = 3x - 7
16 + 11x = 3x
16 = - 8x
-2 = x