The average speed is 37 minutes
25 + 45 + 40 = 110
_____
3)110. 36.6
9
20
18
2
Answer: 33.5% I just answered the question on my laptop and got it right
Answer:
Option (D) is correct.
Step-by-step explanation:
We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
y = a (1-b)ˣ
here
- y represents the final amount
- a represents the original amount
- b represents the decay factor
- x represents the amount that has passed
Now, map our problem using the same concept formula
as
3000 students were enrolled, so
as High School has been experiencing an annual decline of 2.2% in enrollment, so
so substituting b = 0.022 and a = 3000
y = a (1-b)ˣ
y = 3000 (1 - 0.022)ˣ
as
so the expression becomes
y = 3000 (0.978)ˣ
Therefore, option (D) is correct.
Based on <em>ratio</em> criterion and definition of <em>geometric</em> series we conclude that the<em> geometric</em> series 1/5 + 1/20 + 1/80 + 1/320 + ... is convergent.
<h3>How to determine the convergence of a geometric series</h3>
<em>Geometric</em> series are <em>discrete</em> formulas of the form 
, where a and r are real numbers, and n and b are <em>natural</em> numbers. According to the <em>ratio</em> criterion, a <em>geometric</em> series is convergent if and only if |r| ≤ 1.
In accordance to this information, we conclude that the geometric series 1/5 + 1/20 + 1/80 + 1/320 + ... is convergent.
To learn more on geometric series: brainly.com/question/4617980
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