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riadik2000 [5.3K]
2 years ago
5

What is the largest power of 2 that is a divisor of 13^4 - 11^4?

Mathematics
2 answers:
Nat2105 [25]2 years ago
6 0

Answer:

5

Step by step explanation :

13^4-11/4=13920

2^5=32

13920÷32=435

Therefore largest power = 5

Please mark me as the brainliest answer

Thank you ☺

OverLord2011 [107]2 years ago
5 0

Answer:

2^5

Step-by-step explanation:

Given:

(13^4 - 11^4)(13^2+11^2)

add all together with exponents

=48*290

= Then turn into a smaller exponent

= 2^4 * 3 * 2*145

combine like terms

2^4 *2

=2^5

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Step-by-step explanation:

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Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her tota
SVETLANKA909090 [29]

Based on the calculations, the amount of money she invested is equal to $3,520.

<h3>How to determine the amount invested?</h3>

First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:

  • Let x be the amount of money she invested at 11%.
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Since Lydia invested the same amount of money in both stocks, we have:

x = y     ....equation 1.

At the two interest rates, the total amount Lydia gets is given by:

0.11x + 0.14y = 440     ....equation 2.

Solving the equations simultaneously, we have:

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y = $1,760.

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Read more on interest rates here: brainly.com/question/16793428

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Step-by-step explanation:

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