Answer:
Step-by-step explanation:
If you plot J and K in a coordinate plane, you see that the line formed is a perfectly horizontal line through y = 2. In order for this triangle to be an isosceles, the third x-coordinate would have to be located midway through the x-coordinates of the base. The midpoint between the x-coordinates is found by adding the 2 x-coordinates and dividing the sum by 2. -6+\3 = -3 and -3/2 = -3/2. So the x-coordinate is -3.2 or -1.5
It the property of distributive
Answer: Present value = $7200
Step-by-step explanation: Given Principal that is the original amount is $6000
Rate is 10% every fourth year
But the total period is eight.
So the interest would be paid 8/4 = 2 times.
Therefore,
Simple interest
= {principal * rate * no of times}/100
= {$6000*10*2}/100
Simple interest = $1200
Present value
= principal + Simple interest
= $6000 + $1200
= $7200.
Answer:
Go to the bottom of that problem and click save for later
Answer: The maximum error = $105.76.
Step-by-step explanation:
Formula to find the maximum error:
![E= z^*\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=E%3D%20z%5E%2A%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
, where n= sample size.
= Population standard deviation
z*= Critical value(two-tailed).
As per given , we have
![\overline{x}=1438](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D1438)
n= 35
For 98% confidence , the significance level = ![1-0.98=0.02](https://tex.z-dn.net/?f=1-0.98%3D0.02)
By z-table , the critical value (two -tailed) =![z^* = z_{\alpha/2}=z_{0.01}=2.326](https://tex.z-dn.net/?f=z%5E%2A%20%3D%20z_%7B%5Calpha%2F2%7D%3Dz_%7B0.01%7D%3D2.326)
Now , the maximum error = ![E= (2.326)\dfrac{269}{\sqrt{35}}](https://tex.z-dn.net/?f=E%3D%20%282.326%29%5Cdfrac%7B269%7D%7B%5Csqrt%7B35%7D%7D)
![E= (2.326)\dfrac{269}{5.9160797831}](https://tex.z-dn.net/?f=E%3D%20%282.326%29%5Cdfrac%7B269%7D%7B5.9160797831%7D)
![E= (2.326)\times45.4692989044=105.761589252\pprox105.76](https://tex.z-dn.net/?f=E%3D%20%282.326%29%5Ctimes45.4692989044%3D105.761589252%5Cpprox105.76)
Hence, With 98% confidence level , the maximum error = $105.76.