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ivanzaharov [21]
3 years ago
14

Three fifths of the sum of 13 and 6

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer: 11.4

Step-by-step explanation:

change to numbers \frac{3}{5} (13+6)

simplify \frac{3}{5} (19)\\11.4

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Compute i^1+i^2+i^3....i^99+i^100
fgiga [73]

Good morning ☕️

Answer:

<h3>i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰ = 0</h3>

Step-by-step explanation:

Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰

S =  i¹ +  i² +  i³ + . . . + i⁹⁹  +  i¹⁰⁰

S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀

then, S is the sum of 100 consecutive terms of a geometric sequence (an)

where the first term a1 = i¹ = i  and the common ratio = i

FORMULA:______________________

S=(term1)*\frac{1-(common.ratio)^{number.of.terms}}{1-(common.ratio)}

_______________________________

then

S=i*\frac{1-i^{100} }{1-i}

or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1  (we know that i⁴ = 1)

Hence

S = 0

7 0
3 years ago
Your credit card company charges 18 % APR (Annual Percentage Rate )
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Answer:

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Step-by-step explanation:

7 0
3 years ago
What is 3 (x-6) +2 ≥ 5x - 4
Stells [14]

Answer:

-6 <u>></u> x

Step-by-step explanation:

3 (x-6) +2 ≥ 5x - 4

3x-18 + 2 <u>></u> 5x - 4

3x - 18 <u>></u> 5x - 6

-18 <u>></u> 2x - 6

-12 <u>></u> 2x

-6 <u>> </u>x

8 0
3 years ago
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P divided by 28 = -26
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The answer is p= -728
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3 years ago
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A classroom has 2 bookcases that weigh 117 pounds altogether. If they all weigh the same amount, how much does each bookcase wei
Lapatulllka [165]

Answer:

58.5 pounds each.

Step-by-step explanation:

If two bookcases weigh 117 pounds and each weighs the same amount, each bookcase must weigh half of the total weight. 117/2 equals 58.5.

6 0
3 years ago
Read 2 more answers
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