The correct answer is C.
Because by looking at the diagram you can see that angles 7 and 8 are intersected
Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point
![|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x](https://tex.z-dn.net/?f=%7Cx%7C%3Dx%5C%2C%5C%2C%5Cmbox%7Bfor%7D%5C%2C%5C%2Cx%5Cgeq%200%5C%5C%7Cx%7C%3D-x%5C%2C%5C%2C%5Cmbox%7Bfor%7D%5C%2C%5C%2Cx%3C0)
To solve the equation, you need to treat the two cases as above:
![|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2](https://tex.z-dn.net/?f=%7Cx%2B4%7C%3Dx%2B4%3D2%5C%2C%5C%2C%5C%2C%5Cmbox%7Bfor%7D%5C%2C%5C%2Cx%2B4%5Cgeq%200%5Cimplies%20x%5Cgeq%20-4%5C%5Cx%2B4%3D2%5Cimplies%20x%3D-2)
The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:
![|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x](https://tex.z-dn.net/?f=%7Cx%2B4%7C%3D-%28x%2B4%29%3D2%5C%2C%5C%2C%5C%2C%5Cmbox%7Bfor%7D%5C%2C%5C%2Cx%2B4%3C%200%5Cimplies%20x%3C-4%5C%5C-%28x%2B4%29%3D-x-4%3D2%5Cimplies%20x%20%3D%20-6)
Again, the second solution -6 complies with the requirement that x<-4, so it is valid.
Answer:
28 i think
Step-by-step explanation:
51+47=98
98-12 the ones that flew away that takes it to 86
86/3 the 3 balloons buntch than is 28
p.s. i mght of got some equations wrong but this is what i got
Answer:
6 Years
Step-by-step explanation:
Orlando invests $1000 at 6% annual interest compounded daily.
Orlando's investment = ![A=1000(1+\frac{0.06}{365})^{(365\times t)}](https://tex.z-dn.net/?f=A%3D1000%281%2B%5Cfrac%7B0.06%7D%7B365%7D%29%5E%7B%28365%5Ctimes%20t%29%7D)
Bernadette invests $1000 at 7% simple interest.
Bernadette's investment = A = 1000(1+0.07×t)
By trail and error method we will use t = 5
Bernadette's investment will be after 5 years
1000(1 + 0.07 × 5)
= 1000(1 + 0.35)
= 1000 × 1.35
= $1350
Orlando's investment after 5 years
![A=1000(1+\frac{0.06}{365})^{(365\times 5)}](https://tex.z-dn.net/?f=A%3D1000%281%2B%5Cfrac%7B0.06%7D%7B365%7D%29%5E%7B%28365%5Ctimes%205%29%7D)
= ![1000(1+0.000164)^{1825}](https://tex.z-dn.net/?f=1000%281%2B0.000164%29%5E%7B1825%7D)
= ![1000(1.000164)^{1825}](https://tex.z-dn.net/?f=1000%281.000164%29%5E%7B1825%7D)
= 1000(1.349826)
= 1349.825527 ≈ $1349.83
After 5 years Orlando's investment will not be more than Bernadette's.
Therefore, when we use t = 6
After 6 years Orlando's investment will be = $1433.29
and Bernadette's investment will be = $1420
So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.