1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ElenaW [278]
3 years ago
9

A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. The followin

g morning she finds 4 pennies. Apparently while she sleeps each penny turns into two magic pennies. The total number of pennies seen under the pillow each day is the grand total; that is, the pennies from each of the previous days are not being stored away until more pennies magically appear. How many days would elapse before she has a total of more than $2 Billion?
Mathematics
1 answer:
dezoksy [38]3 years ago
5 0

Answer:

<u><em></em></u>

  • <u><em>32 days</em></u>

Explanation:

Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:

First night:          1 penny = 2⁰

Second night:    1 × 2 pennies = 2¹

Third night:        2 × 2 = 2²

Fourth nigth:      2² × 2 = 2³

nth night:           2ⁿ⁻¹

You want 2ⁿ⁻¹ ≥ 2,000,000,000

Which you solve in this way:

  • 2ⁿ⁻¹  ≥ 2,000,000,000

  • 2ⁿ⁻¹ ≥ 2,000,000,000

  • n-1 log (2)  ≥ log (2,000,000,000)

  • n - 1  ≥ log (2,000,000,000) / log (2)

  • n - 1 ≥ 30.9

  • n ≥ 31.9

Since n is number of days, it is an integer number, so n ≥ 32.

Hence, she will have a total of more than $ 2 billion after 32 days.

You can prove that by calculating 2³² = 2,147,483,648.

You might be interested in
A newly opened juice shop earned a profit of $2,400 in the first month. For the remaining months of the year, the expected profi
atroni [7]

First month's profit of the company = $2,400.

After the first month, the profit is modeled by the function

J(t) = 2.5t + 1,250, t is the number of months after the first month the shop opened.

Now, P(t) describes the total profit earned by the company.

So, P(t) = (Profit earned from first month) + (Profit earned from remaining 11 months of the year)

= 2400 + (2.5t + 1250)

<u><em>= 2.5t + 3650</em></u>

Hence, total profit earned for the year = 2.5t + 3650.

4 0
2 years ago
Two interior angles of a triangle each measure 34 what is the measure of the third interior angel?
Anestetic [448]
I go I go I go I go cra a a azy
6 0
3 years ago
Can someone produce SPSS results by including the the intercept (a.k.a. the constant), standard error of estimate, unstandardize
Firlakuza [10]

Answer:these are all odd

Step-by-step explanation:

the p-value for the unstandardized coefficient, R-square, Beta (i.e. standardized regression coefficient) using Excel with this given data?

Overall: 3.4, 2.9, 2.6, 3.8, 3.0, 2.5, 3.9, 4.3, 3.8, 3.4, 2.8, 2.9, 4.1, 2.7, 3.9, 4.1, 4.2, 3.1, 4.1, 3.6, 4.3, 4.0, 2.1, 3.8, 2.7, 4.4, 3.1, 3.6, 3.9, 2.9, 3.7, 2.8, 3.3, 3.7, 4.2, 2.9, 3.9, 3.5, 3.8, 4.0, 3.1, 4.2, 2.9, 3.9, 3.5, 3.8, 4.0, 3.1, 4.2, 3.0, 4.8, 3.0, 4.4, 4.4, 3.4, 4.0, 3.5

Teach: 3.8, 2.8, 2.2, 3.5, 3.2, 2.7, 4.1, 4.2, 3.7, 3.7, 3.3, 3.3, 4.1, 3.1, 2.9, 4.5, 4.3, 3.7, 4.2, 4.0, 3.7, 4.0 2.9, 4.0, 3.3, 4.4, 3.4, 3.8, 3.7, 3.1, 3.8, 3.2, 3.5, 3.8, 4.4, 3.7, 4.00, 3.4, 3.2, 3.8, 3.7, 4.3, 3.4, 4.0 3.1, 4.5, 4.8, 3.4, 4.2, 3.4

Exam: 3.8, 3.2, 1.9, 3.5, 2.8, 3.8, 3.8, 4.1, 3.6, 3.6, 3.5, 3.3, 3.6, 3.8, 3.8, 4.2, 4.1, 4.0, 4.3, 4.2, 4.0, 4.1, 2.7, 4.4, 4.4, 4.3, 3.6, 4.1, 4.2, 3.6, 4.4, 3.4, 3.2, 3.7, 4.3, 4.1, 3.7, 4.0, 3.6, 4.0, 3.7, 4.2, 4.2, 4.1, 3.2, 4.5, 4.3, 3.6, 4.00, 3.9

Knowledge: 4.5, 3.8, 3.9, 4.1, 3.5, 4.2, 4.5, 4.7, 4.1, 4.1, 3.9, 3.9, 4.0, 4.1, 4.5, 4.5, 4.5, 4.5, 4.7, 4.0, 4.5, 4.6, 3.7, 4.1, 3.6, 4.4, 3.3, 3.8, 4.2, 3.8, 4.0, 3.1, 4.4, 4.3, 5.00 4.2, 4.5, 4.5, 4.7, 4.3, 4.00, 4.2, 3.8, 4.9, 3.7, 4.6, 4.3, 3.5, 4.4, 4.4

Grade: 3.5, 3.2, 2.8, 3.3,

6 0
2 years ago
HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST!!!!
alexandr402 [8]

Answer:

-25/36

Step-by-step explanation:

-5/6 x 5/6 = -25/36

There is no way to simplify it.

You just needed to multiply the deniminators and the numerators. And since you can't simplity -25/36, you have your answer.

8 0
3 years ago
Simplify each expression using an exponent rule learned in class. <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7By%7D%7Bx%7D%20%
Maksim231197 [3]

Hey there! I'm happy to help!

If you raise a fraction to an exponent, you apply that exponent to the numerator and the denominator. This would give us \frac{y^4}{x^4}.

Have a wonderful day! :D

3 0
3 years ago
Read 2 more answers
Other questions:
  • Sierra has a total of 61 dimes and quarters in her piggybank. She has 3 more quarters than dimes. The coins have a total value $
    9·1 answer
  • 1 litre take 375 millilitres how many millilitres left
    14·2 answers
  • How many times does 3 go into 32
    8·2 answers
  • A rectangle is to be inscribed in a right triangle having sides of length 6 in, 8 in, and 10 in. Find the dimensions of the rect
    14·1 answer
  • What is the length of leg s of which of the following words correctly describe a triangle with two 45 angles?
    7·2 answers
  • 10 is 20% of, please answer
    9·1 answer
  • Please help this is timed (I got an answer but i don’t know if it’s right. If not, can someone tell me?)
    12·1 answer
  • Chad used the table to show the ratios of the different types of sports game cards that he owns. For every 2 offense cards, he o
    13·1 answer
  • Solve the system by elimination<br><br> 3x-2y=3<br> 15x-4y=-3
    15·1 answer
  • How many 1/5's are in 7 wholes?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!