<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:
TU = 18
Step-by-step explanation:
TV = 21
TU + VU = 21
-31 - 7z + (-39 - 6z) = 21
-31 - 7z - 39 - 6z = 21
-7z - 6z - 31 - 39 = 21 {Combine like terms}
-13z - 70 = 21 {Add 70 to both sides}
-13z = 21 + 70
-13z = 91 {divide both side by (-13)}
z = 91/-13
z = -7
TU = -31 - 7z
= -31 - 7*(-7)
= - 31 + 49
= 18
Option C ,
40 degrees
Because angle Z was 70 (isosceles triangle)
Then 180-140=40 degrees
one has a number line with box and whiskers on top and a histogram is sort of like a bar chart it has bars going up that it the difference
hope this helps!
Let the first investment be x
and second be 3000-x
so 3%of x + 4% of (3000-x) = 107
By solving x = 1300
First investment is 1300
second investment is 1700