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4 years ago

Please help before my teacher gets mad at me

Mathematics

1 answer:

Advocard [28]4 years ago

4 0

Answer:

a) 412 have a brother or sister in the school

b) 242 are girls

c) 339 are 13 years old or under

Step-by-step explanation:

Part a:

515 x 80%

412

Part b:

515 x 47%

242

Part c:

515 x 66%

339

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A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

After 47 days she will have more than 90 trillion pennies.

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

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3 years ago

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bearhunter [10]

I don't say you have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

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3 years ago

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According to the Ti 83:

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3 years ago

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chubhunter [2.5K]

Answer:

Step-by-step explanation:

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