<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.
Y = 1/4x - 1....the slope here is 1/4....but for a perpendicular line we need a negative reciprocal slope...all that means is " flip " the slope and change the sign. 1/4....flip it....4/1.....change the sign....-4/1 or just -4. So our perpendicular line will have a slope of -4. The only one in ur answer choices with a slope of -4 is D.....so ur answer has to be D.
Answer:
Step-by-step explanation:
40 ounces equal 2.5 pounds (40oz = 2.5lbs). Converting 40 oz to lb is easy.
Answer:
(x − 2)(x − 3)
Step-by-step explanation:
x² - 5x + 6
(x − 2)(x − 3)
