<h2>
Answer:</h2>
The type of reasoning which starts with a given set of rules and conditions to determine what must be true is:
Deductive Reasoning.
<h2>
Step-by-step explanation:</h2>
Deductive Reasoning--
It is a logical reasoning that starts with a general set of premises or statements and reach to a specific conclusion.
It is different from the inductive reasoning in the way that the inductive reasoning starts with a set of specific set of rules and reach to a general conclusion.
Answer:
A exponential equation is usually of the form f(x)=a (1±r)ˣ.
Our limitation: Initial Vale is 500.
Let's look at our options:
#1- Initial Value of 1000 --- WRONG!
#2- Initial Value of 1000 --- WRONG!
#3- Initial Value of 500 ---- Maybe
#4- Initial Value of 500 ---- Maybe
Let's look at 3 and 4:
#3- Fits Our Form of f(x)=a (1±r)ˣ ---- CORRECT!
#4- Does not fit Our Form of f(x)=a (1±r)ˣ, It's to the 2nd power, not the x power! ---- WRONG!
Hence, #3 Is correct!
Step-by-step explanation:
Well, I hope you understood, and I'd gladly explain anything that didn't make sense. A brainliest would be appreciated, thank you!
-Zylynn Jade Ardenne
The simplified form of the equation is
.
<h2>
Given that</h2>
Equation; 
<h3>
We have to determine</h3>
The simplified form of the equation;
<h3>According to the question</h3>
To determine the simplified form of the equation following all the steps given below.
Equation; 
<h3>
To simplify the equation multiple the terms and solve.</h3>
Then,
The simplified form of the equation is,

Hence, The simplified form of the equation is
.
To know more about Equation click the link given below.
brainly.com/question/26252222
The quantity reported an <em>equivalent net</em> percentage change of 28 percent.
<h3>How to calculate the net change of a quantity in percentages</h3>
In this problem we must determine the <em>simple</em> percentage change equivalent to two <em>consecutive</em> percentual changes. The formula that describes the situation is:
1 + r/100 = (1 - 60/100) · (1 + 80/100)
1 + r/100 = 72/100
r/100 = - 28/100
r = - 28
The quantity reported an <em>equivalent net</em> percentage change of 28 percent.
<h3>Remark</h3>
The statement is incomplete. Complete form is presented below:
A quantity is changing. At first it descreased by 60 percent and it increased by 80 percent. What is net change of the quantity in percentage?
To learn more on percentages: brainly.com/question/13450942
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7.71 feet is your answer.