Y = -1
x = 5
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Answer:
666 divided by 6 is 111. So, they would need 111 vans.
<h3>
Answer: 3</h3>
Explanation:
Refer to the graph below. It should be similar to what your teacher gave you, based off the description.
Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.
As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.
In terms of notation, we can write ![\displaystyle \lim_{x\to3^{+}}f(x) = 3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto3%5E%7B%2B%7D%7Df%28x%29%20%3D%203)
The portion
means we're approaching 3 from the positive side, aka the right hand side on the number line.
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.