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Kipish [7]
3 years ago
13

Find the sum of the geometric series 1 + 0.8 + 0.8^2 +0.8^3 + ... + 0.8^{19}

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

S20 ≈ 4.942

Step-by-step explanation:

Sum of a geometric series is expressed as Sn = a(1-rⁿ)/1-r if r<1

a is the first term

r is the common ratio

n is the number of terms

Given the geometric series

1 + 0.8 + 0.8^2 +0.8^3 + ... + 0.8^{19}

Given a = 1,

r = 0.8/1 = 0.8²/0.8 = 0.8

n = 20 (The total number of terms in the series is 20)

Substituting this values in the formula above.

S20 = 1(1-0.8^20)/1-0.8

S20 = 1-0.01153/0.2

S20 = 0.9885/0.2

S20 ≈ 4.942

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Is -28 greater than or less than -162
vivado [14]

Answer:

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

Step-by-step explanation:

To determine:

Is -28 greater than or less than -162?

Solution Steps:

  • In mathematics, a number line is considered to be a straight line with numbers placed at equal intervals along its length.
  • A number line could be extended infinitely in any direction i..e -∞ to +∞.
  • A number is usually represented horizontally.

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

In other words,

-28>-162\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Keywords: number line, less than, greater than

Learn more about number line from brainly.com/question/12153324

#learnwithBrainly

7 0
4 years ago
What is the 8th row of Pascal’s triangle?
JulijaS [17]

Answer:

1 7 21 35 35 21 7 1

Step-by-step explanation:

Tbh I just searched it up who memorizes this stuff?

4 0
3 years ago
What is the quotient of b^3+4b^2-3b+126/b+7
stepladder [879]
The correct answer for the question that is being presented above is this one: "D. b² − 3b + 18 R252. T<span>he quotient of b^3+4b^2-3b+126/b+7. In order to get the answer, you have to start dividing b^3 by b. Then multiply the quotient to b + 7. Then after that, subtract. Do the same thing until you reached the end.</span>
7 0
3 years ago
A dozen eggs cosy $1.32 at the grocery store .how much profit would a restaurant make if the sold 1 scramble egg for 99 cent
tatuchka [14]
What we know: A dozen costs 1.32; there are 12 in a dozen.
What we need to know: How much a restaurant makes selling 1 egg at 0.99.
First, find the value of one egg; you can do that by dividing the total cost (1.32) by the amount (12):
1.32 / 12 = 0.11    <--    The cost per egg is 11 cents. To find the profit of the restaurant, just subtract the cost from the price they sell it for:
0.99 - 0.11 = 0.88    <--    The profit the restaurant makes per egg is 88 cents.

Hope this helps.
5 0
3 years ago
Which point is located on the line represented by the equation y+4=-5(x-3)?
Elis [28]

The answer would be (3,-4) This is because if you replace the variables with the numbers and solve the equation it will come out 0=0

So, lets solve.

y+4=-5(x-3)

-4+4=-5(3-3)

0=-5x0

0=0

So therefore the correct answer will be (3,-4)

Hope this helped

8 0
3 years ago
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