3 years ago

What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?

Mathematics

1 answer:

Alenkasestr [34]3 years ago

5 0

Answer:

it's 100

Step-by-step explanation:

9/10 of 1000 is 900, 8/9 of 900 is 800, 7/8 of 800 is 700, 6/7 of 700 is 600, 5/6 of 600 is 500, 4/5 of 500 is 400, 3/4 of 400 is 300, 2/3 of 300 is 200, and 1/2 of 200 is 100 which makes 100 the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000? I hope this makes sense.

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nataly862011 [7]

Hello, please consider the following.

${2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...$

Let me know if you need further explanation.

Thank you

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