Answer:
He will have 2,603.16 in a year.
Step-by-step explanation:
There are approximately 52 weeks in a year
52^2/25 = 108.16
45(52) = 2,340
108.16 + 2,340 + 155 = 2,603.16
Because all outcomes are equally weighted, the probability you are looking for is given by :-
Number of favorable eventsTotal number of events
Number of favorable events
Total number of events
In your case: 6 or Even outcome={2,4,6}
6
or Even outcome
=
{
2
,
4
,
6
}
and Outcomes={1,2,3,4,5,6}
Outcomes
=
{
1
,
2
,
3
,
4
,
5
,
6
}
Hence:
Number of favourable eventsTotal number of events=36=12
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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Answer:
If all four angles of a rectangle have the same measure, then it is a square.
Answer:
None
Step-by-step explanation: