The geometric series is convergent and the value is 16.
<h3>How to illustrate the information?</h3>
Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:
S = t_1/(1 - r)
Note that:
3 = (4)(3/4)
9/4 = (3)(3/4)
27/16 = (9/4)(3/4)
So this a geometric series with t_1 = 4 and r = 3/4. Therefore:
4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16
The correct option is 16.
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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum
4+3+ 9/4 +27/16 +???
choices are
1. 3/4
2. 12
3. 4
4. divergent
5. 16
When you apply for a loan, the lender will verify your income. They want to be sure you were able to make the payment owed to them.
When you link your loan to an asset, it is called a secured loan. This means that you offer an item of value to the lender just in case you're not able to make your payments.
Answer:
y = -2x+4
Step-by-step explanation:
the equation of the line there is: y = -2x+8
The parallel line to this one should have the same slope as the first one(-2x)
Parallel lines always have the same slopes
-4(-4) = positive 16
Positive 16(-4) = -64
-64 is your answer
Answer:
25 gallons
Step-by-step explanation:
Let x be the number of gallons of orange juice worth $1.70 per gallon, then x gallons are worth $1.70x.
If 100 gallons of orange juice worth $2.20 per gallon, then 100 gallons are worth 
Total cost is
Together we will get x + 100 gallons of a mixture. This mixture we will sell for $2.10 per gallon, so, x + 100 gallons of mixture is worth $2.10(x + 100).
Thus,
![1.70x+220=2.10(x+100)\\ \\17x+2,200=21(x+100)\ [\text{Multiplied by 10}]\\ \\17x+2,200=21x+2,100\\ \\17x-21x=2,100-2,200\\ \\-4x=-100\\ \\4x=100\\ \\x=25](https://tex.z-dn.net/?f=1.70x%2B220%3D2.10%28x%2B100%29%5C%5C%20%5C%5C17x%2B2%2C200%3D21%28x%2B100%29%5C%20%5B%5Ctext%7BMultiplied%20by%2010%7D%5D%5C%5C%20%5C%5C17x%2B2%2C200%3D21x%2B2%2C100%5C%5C%20%5C%5C17x-21x%3D2%2C100-2%2C200%5C%5C%20%5C%5C-4x%3D-100%5C%5C%20%5C%5C4x%3D100%5C%5C%20%5C%5Cx%3D25)
