The last two easy transformations involve flipping functions upside down (flipping them around the x-axis), and mirroring them in the y-axis.
The first, flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is –f (x).
Answer: graph E.
A geometric sequence can be written as:

where:
a₁ = first term = 4
r = ratio = 0.5
Substituting the numbers, we have:

or else

This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).
In order to choose between graph B and E, let's evaluate the function in two different points:


Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.
The nominal rate to plug in will be 0.085.
Given to us, the nominal rate is 8.5%,
The value to plug into your equation,
The equation can be simple interest or compound interest in both cases the value of the nominal rate to the plugin will be the same.
Thus, the nominal rate is 8.5% can be written as

Hence, the nominal rate to plug in will be 0.085.
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20 x=5 I hope this helps
22.x=15
Given:
The given sets are:
Set a : 200, 104, 100, 160.
Set b: 270, 400, 483, 300, x.
Mean of set a: mean of set b= 3:8
To find:
The value of x.
Solution:
Formula for mean:

The mean of set of a is:



The mean of set of b is:



It is given that,
Mean of set a: mean of set b= 3:8




Isolate the variable x.


Divide both sides by 3.


Therefore, the value of x is 427.