Answer:
b. 136
Step-by-step explanation:
you separate the right and left side so its 12x6 and 8x8 then you add the two products and get 136
Corresponding Parts of Congruent Triangles are Congruent
meaning that the same parts of triangles that are congruent will also be congruent
Cat= 6kg
Dog = 6kg + 22kg
Total weight = 6kg + 6kg + 22kg
Total weight = 34kg
Since you know that point Y and point Z are equal distance form point F, you will need to know the distance between point Y, -1, and the distance between point X, -7. So, the total distance, after subtracting -1 from -7, is -6. So, you will then subtract another -6 from -7, to get -13, which is the coordinate of point Z.
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:
![I = P(1 + \frac rn)^{nt} - P](https://tex.z-dn.net/?f=I%20%3D%20P%281%20%2B%20%5Cfrac%20rn%29%5E%7Bnt%7D%20-%20P)
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
![P + I = P(1 + \frac rn)^{nt}](https://tex.z-dn.net/?f=P%20%2B%20I%20%3D%20P%281%20%2B%20%5Cfrac%20rn%29%5E%7Bnt%7D)
Divide through by P
![\frac{P + I}{P} = (1 + \frac rn)^{nt}](https://tex.z-dn.net/?f=%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%20%3D%20%281%20%2B%20%5Cfrac%20rn%29%5E%7Bnt%7D)
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:
![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)
Hence, the formula that calculates the compound rate 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)
Read more about compound interest at:
brainly.com/question/13155407
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