The function of exponential growth or decay is given as y= a(1 ± r)ˣ. y represents a function of exponential decay with 45%. The correct option is D.
<h3>What is exponential growth or decay function?</h3>
Consider the function:
y= a(1 ± r)ˣ
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
- If there is plus sign, then there is exponential growth happening by r fraction or 100r %.
- If there is negative sign, then there is exponential decay happening by r fraction or 100r %.
If we compare the given function with the exponential function, then it can be observed that the value of (1±r) is less than 1, therefore, the function will be of exponential decay.
Now, if the (1-r) is compared with 0.55 given in the function than the value of r will be,
1 - r = 0.55
-r = 0.55 - 1
-r = -0.45
r = 0.45
r = 45%
Hence, y represents a function of exponential decay with 45%.
Learn more about exponential growth and decay here:
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The type of reasoning that Vivian used into solving the
equation is the deductive. This type of reasoning is able to describe on how
the equation is done and this could be seen in the given scenario above as she
was able to show the steps in obtaining the correct answer.
A primary source saw something first-hand. A secondary source only heard about it.
Answer:
Step-by-step explanation:
Let angle ABZ be angle 1 and angle ZBC be angle 2.
Angle 1 = 85 degree
Angle 2 = 6x + 9
measure of angle ABC = 24x+4
Angle 2 = ABC - 85
6x + 9 = 24x + 4 - 85
6x - 24x = 4 - 85 - 9
-18x = -90
x = -90/-18 = 90/18 =
x = 5
Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree
Therefore the measure of angle ZBC = 39 degree
Hope you understand
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