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4 years ago

Please help me with my math i am very confused

Mathematics

2 answers:

Mice21 [21]4 years ago

8 0

Answer:

Step-by-step explanation:

He is able to teach 3 classes per night.

asambeis [7]4 years ago

4 0

Answer: 3 lessons

Step-by-step explanation:

Your equation would be division. 4 1/2 divided by 1 1/2 would give you how many lessons could be completed in a night. 4 1/2 divided by 1 1/2 would be 3. You can check it by multiplying 1 1/2 by 3. 3 is the number of classes and 1 1/2 is how long each lesson is. Since 1 1/2 times 3 is 4 1/2, it would take 4 1/2 hours to complete 3 lessons.

Hope this helped

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Part 1

Use your calculator to have it display $e \approx 2.71828182846$ and round that to five decimal places to get $e \approx 2.71828$

<h3>Answer: 2.71828</h3>

=============================================

Part 2

Plug in x = 5 to get

$y = \left(1 + \frac{1}{x}\right)^x\\\\y = \left(1 + \frac{1}{5}\right)^5\\\\y = 2.48832\\\\$

<h3>Answer: 2.48832</h3>

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Part 3

Now plug in x = 25

$y = \left(1 + \frac{1}{x}\right)^x\\\\y = \left(1 + \frac{1}{25}\right)^{25}\\\\y \approx 2.66583633148742\\\\y \approx 2.665 84\\\\$

<h3>Answer: 2.66584</h3>

=============================================

Part 4

Plug in x = 125

$y = \left(1 + \frac{1}{x}\right)^x\\\\y = \left(1 + \frac{1}{125}\right)^{125}\\\\y \approx 2.70748783321031\\\\y \approx 2.70749\\\\$

<h3>Answer: 2.70749</h3>

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Part 5

As x gets larger, it appears (1+1/x)^x is getting closer and closer to e = 2.71828 since the sequence of answers (from parts 2 through 4) was 2.48832, 2.66584, 2.70749.

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