<h3>
Answer: 375</h3>
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Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
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As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
270 divided by 3 = 90.
90 is the cost per person.
Now you do 90 times 10 to get the total for all 10 people.
90 times 10= 900.
First let's put them all over 100.
-
would change to -
-
to -
-
to -
-
to -
Then if we put them from least to greatest it would be from highest to lowest (since they are negatives)
-
, -
, -
, -
The answer would be B
Vertex - The common endpoint of two rays at which an angle is formed.
Vertical Angles - Pairs of angles formed where two lines intersect.
