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3 years ago

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- George wanted to buy a car for $20,000. He knew he wanted to trade it in when the car had depreciated to $12,500. He knows tha

t the car depreciates at a rate of 8.75%. Rounded to the nearest tenth of a year, how long would it be before he would have to trade in his car?

1 answer:

777dan777 [17]3 years ago

3 0

Answer:

yes your are correct socyeahhh

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Triangle ABC has side lengths 10, 14, and 26. Do the side lengths form a Pythagorean triple? Explain.

uysha [10]

By <span>Pythagorean triple
a²+b²=c²,
c should be longest side
10²+14²=26²
100+196=676
296</span>≠676
so sides do not form Pythagorean triple, it is not a right triangle

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The equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

The expression is given as:

$(x + 4)^5$

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

$(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5$

Evaluate the exponents

$(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024$

Evaluate the products

$(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Hence, the equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Read more about binomial expressions at:

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