This is a pythagorean theorem problem therefore a^2+b^2=c^2
a=8, b=?, c=10
8^2+b^2=10^2
64+b^2=100
100-64=56
square root of b^2=square root of 56
b=2 rad14
2 rad14 +4=
2 (rad14 + 1)= ANSWER
In order to calculate the compound amount and the amount of interest earned, we can use the formula below:

Where A is the compound amount after t years, P is the principal (initial amount) i is the interest rate and n is how many times the interest is compounded in a year.
So, for P = 71000, i = 0.0102, t = 4 and n = 4, we have:

Therefore the compound amount is $73952.87
The amount of interest is:

So the amount of interest earned is $2952.87.
Answer:
.
Step-by-step explanation:
Since we have to find the simplified form of the expression as below
![\sqrt[4]{567x^{9}y^{11}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B567x%5E%7B9%7Dy%5E%7B11%7D%7D)
we will solve the expression as below
![=[567x^{9}y^{11}]^{\frac{1}{4}}](https://tex.z-dn.net/?f=%3D%5B567x%5E%7B9%7Dy%5E%7B11%7D%5D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)






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Answer: It is not enough evidence to support the researcher's claim.
Step-by-step explanation:
Since we have given that
n = 500

So, the hypothesis are as follows:

So, the z value would be

At α = 0.05
z= -1.64
So, 1.64<-1.33
So, we accept the null hypothesis.
Hence, it is not enough evidence to support the researcher's claim.
435-32n=179 would be the equation im pretty sure.