Answer:
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At the time 4 PM will it be after they each have worked 4 shifts. Option E is correct.
<h3>What exactly is simplification?</h3>
Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Mashud and Iqbal are security guards at a top-secret federal vault. They each work 8-hour shifts, If Mashud begins his shift at 8 PM,
The time will it be after they each have worked 4 shifts;
8 PM + 8 hour =4 AM
4 AM + 8 hour = 12 PM
12 PM+ 8 hour =8 PM
8 PM + 8 hour = 4 PM
Hence, option E is correct.
They will each have worked four shifts by the time it is 8 PM.
To learn more about the simplification, refer to:
brainly.com/question/23509407
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The answer is 210. You're welcome friend.
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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Let's set up two equations:
x+y=20 We know she brought total of 20, some of each so x=small y=big
20x+ 30y=450
x+y= 20
-y -y
------------
x= 20 -y
substitute into the other equation:
20 (20-y) + 30y = 450
400 - 20y + 30y = 450
400+ 10 y = 450
10 y = 50
y= 5
So she brought 5 big cases. Then substitute the value of y into one of the equations.
5+ x = 20
x= 15
So we bought 15 small cases and 5 big cases.
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