This is exponential decay of the form:
f=ir^t, f=final value, i=initial value, r=rate, t=time in this case:
V(t)=408000((100-18)/100)^t
V(t)=408000(0.82)^t so
Vo=408000 and b=0.82
....
V(8)=408000(0.82)^8
V(8)=$83400.95 to nearest cent
Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8
Alright, Part A.
This would be 5x + 4x + 5x +4x = 360. This is because all the angles in a parallelogram add up to 360. The other two angles are not unknown, as they correspond with the known angles of 4x and 5x, thus we get all angles.
So add all angles together and we get 18x = 360. We then do x =360/18, thus x = 20. So the answer is C.
Now for the angles, we will have to do the value of the x (which is 20) multiplied by the coefficient (the number in front of the x). So we do 20*4 = 80 and 20*5 = 100. So the answer must be C.
Answer:
The answer would be true.
Step-by-step explanation:
Since 10 equals y that means that 60=6y is true because 6x10 is 60.
We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.
So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.
In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data
Similarly position of the point 37.5% below the mean will be located at
50 - 37.5% = 12.5% of the overall data
From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.
Using these z scores, we can find the values which contain 75% of the values about the mean.
z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:
150 - 1.15(25) = 121.25
z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:
150 + 1.15(25) = 178.75
So, the interval from 121.25 to 178.75 contains the 75% of the data values.