<span>Answer:
The multiplication factor of increase should be inverse of the multiplication factor of decrease.
e.g. Say you have a number 100.
You increase it by 25%. The multiplication factor is 5/4 i.e. when you multiply 100 by 5/4, you get 100*5/4 = 125. This is 25% more than 100.
Now you want to decrease it by a certain % such that you get 100 back.
Basically, 100*5/4 * x = 100
So x = 4/5 (inverse of 5/4)
Hence, you decrease by 20% (the multiplication factor of 20% is 4/5)
or
Use this formula: cumulative % change = a + b + ab/100
You want the cumulative change to be 0.
a + b + ab/100 = 0
If you know that you are increasing by 25% and want to find the % by which you should decrease to get the same number,
25 + b + 25b/100 = 0
5b/4 = -25
b = -20
So you need to decrease (hence you get the -ve sign) by 20%.</span>
Answer:
a- (3,4)
b- (0,-4)
c- (-6,2)
d- (0,5)
e- (-4,-5)
Step-by-step explanation:
hope this helps
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Perhaps you want a graph of ...
x^2/49 +(y +1)^2/4 = 1
This is an ellipse centered at (x, y) = (0, -1) with a major axis in the x-direction of 14, and a minor axis in the y-direction of 4.
Answer:
The tree grew 15/64 meters per year.
Step-by-step explanation:
Given
- Length of a tree = 3/4 meters
- Total time taken by the tree to grow 3/4 taller = 3 1/5 or 16/5 years
To determine
Per year growth of the tree in meters
Per year growth of the tree in meters can be determined by dividing the total length of a tree i.e. 3/4 meters by the total time taken by the tree to get 3/4 taller.
Per year growth of tree = Total Length / Total time to grow
= 3/4 ÷ 16/5
= 3/4 × 5/16
= [3×5] / [4×16]
= 15/64 meters
Therefore, the tree grew 15/64 meters per year.
