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1 year ago

When a number is decreased by 10% of itself, the result is 81, what is the number?

Mathematics

1 answer:

stira [4]1 year ago

3 0

The number is 90.

<h3>What is the number?</h3>

Percentage can be described as the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentage is %. Percentages are a measure of frequency.

When the number is decreased, the number becomes smaller. This means that the original number is larger than 81.

The equation that can be used to represent the information in the question is:

(1 - percentage decrease) initial number = 81

(1 - 0.1)x = 81

0.9x = 81

x = 81 / 0.9

x = 90

To learn more about percentages, please check: brainly.com/question/25764815

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yulyashka [42]

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Step-by-step explanation:

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3 years ago

Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

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3 years ago

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Answer:

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Step-by-step explanation:

Given that:

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So the cases delivered will be = 28 *3 = 84 cases will be delivered today

i hope it will help you!

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4 years ago

What is the value of -9 1/5 - 10 + 2/5 + 2(14 1/2 - 7)?

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Answer:

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Step-by-step explanation:

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3 years ago

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Andrew [12]

Answer:

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3 years ago

When a number is decreased by 10% of​ itself, the result is 81, what is the number?

When a number is decreased by 10% of itself, the result is 81, what is the number?