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2 years ago

PLEASE HELP!

Mathematics

1 answer:

liraira [26]2 years ago

6 0

The second to last is the correct answer

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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

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

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

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

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

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

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

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

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

3 years ago

William earns $2,400.00 each month. His current monthly expenses are $1,910.00. This month, he plans to pay a little extra to hi

Marianna [84]

Answer:

Step-by-step explanation:

2400-1910=490

5 0

3 years ago

WILL MARK BRAINLIEST!!

scZoUnD [109]

Answer: See attached

Step-by-step explanation:

[1] Looking at the function, this will be a parabola.

[2] We know that the x-intercepts, where the line hits the x-axis, will be -1 and 2 because of the factored part given

-> (x + 1)(x - 2)

-> (x + 1) gives us -1 and (x - 2) gives us 2

[3] We will graph the given function.

-> See attached

-> I kept the scale the same as the screenshot you gave (which is 5 to -5 for both the y-axis and the x-axis)

6 0

2 years ago

Need help family ❤️thanks

Mashutka [201]

Since line AB is multiplied by 3 to get line XY, you would multiply 2 by 3 to get 6. The answer is J, or 6. Hope this helps!

4 0

3 years ago

NEED ANSWER STAT

WITCHER [35]

Answer:

B, F, G

Step-by-step explanation:

5 0

3 years ago