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olasank [31]
3 years ago
12

Is there enough information?

Mathematics
1 answer:
Minchanka [31]3 years ago
3 0
Yea and the theorem is SAS
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Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81+...
PilotLPTM [1.2K]
Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)

The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.

S=\dfrac13+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots
S=\dfrac13\left(1+\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\cdots\right)

We can then find the exact value of the sum:

\dfrac23S=\dfrac13\left(\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\dfrac{2^4}{3^4}+\cdots\right)

\impliesS-\dfrac23S=\dfrac13
\implies\dfrac13S=\dfrac13
\implies S=1

So the answer is B.
8 0
3 years ago
I Need Help!! Its Homework​
xz_007 [3.2K]
What homework are you talking about
I can help you but I don’t know what to help you with.
8 0
3 years ago
Compound Interest
vitfil [10]
Answer in file above
4 0
3 years ago
Principal = $800 Interest Rate = 3.5% Time = 2 years Find the interest earned.​
MA_775_DIABLO [31]

Answer:

so lets remember the formula for interest first.

#lightbulb

here it is A = P(1 + rt)

all we really have to do is plug in our rates, principles, and time into equation.

P = $800

t = 2 years

r = 6.5% or as a decimal 0.065

now lets look at our new equation that finally has numbers in it

A = 800[1 +(0.065)(2)] first lets take care of the 0.065 and 2 by multiplying them together. thus our new equation.

A = 800(1+ 0.13) then we add the 1 to the 0.13 and get 1.13

800(1.13) from here we just multiply  and that equals 904

since we are looking for what is earned we take 904 and subtract 800 to get that answer. Here is the math.

904 - 800 = 104

he made 104 dollars in 2 years

hope this is right

Step-by-step explanation:

4 0
3 years ago
Can someone explain? Brainliest + Points! :D
Ulleksa [173]
I'm not I understand. The range is the highest value minus the lowest value, which on the graph is 10-4=6.
8 0
4 years ago
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