Answer:
100
Step-by-step explanation:
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Answer:
The focus of the parabola is at the point (0, 2)
Step-by-step explanation:
Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."
Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)
First compute the perimeter of the pool:
(21+33)*2=108 foot.
Since the material cover 232 ft^2, then it is sufficient to divide the above number over the length of the border like this:
232/108=2.1
The trip can be 2.1 ft in wide.
Answer: 1.616 of adding and subtracting will be 1.476
Step-by-step explanation:
The formula that calculates the compound rate from the given values is ![r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5B10n%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
<h3>How to determine the compound interest rate?</h3>
The compound interest formula is:
Where:
- P represents the principal amount
- r represents the compound interest rate
- n represents the number of times the interest is compounded
- t represents the time in years
- I represents the interest
We start by adding P to both sides
Divide through by P
Take the nt-th root of both sides
![\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn](https://tex.z-dn.net/?f=%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%201%20%2B%20%5Cfrac%20rn)
Subtract 1 from both sides
![-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn](https://tex.z-dn.net/?f=-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%20%5Cfrac%20rn)
Multiply through by n
![r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
In this case, t = 10
So, we have:
Hence, the formula that calculates the compound rate is
Read more about compound interest at:
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