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mina [271]
3 years ago
14

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

the number of magic pennies doubles. How much money will the girl have after 22 ​nights?
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0

Answer:

  • tn = 2097152 pennies
  • tn = 20971.52 dollars.

Step-by-step explanation:

A surprisingly large amount of money.

The question is "Does the amount of money just double or do the previous amounts add to the present amount?"

I think it just doubles. Not only that, but she can't spend any of it until night 22 is reached.

  • tn = a*2^(n - 1)
  • a = 1   She starts with 1 penny.
  • n = 22
  • tn = 1*2^(22 - 1)
  • tn = 1*2^21
  • tn = 2097152 pennies
  • tn = 20971.52 dollars.
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the perimeter of a rectangle is 54 meters. one side is 3 meters less than four times the length of the other side.
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3 years ago
a pool in the shape of rectangle has a perimeter of 80 feet. The pool is 8 Feet less wide than its long. Find the length and wid
Aneli [31]
Hello!

To solve this, lets put it into a system of equations where w=width and L=length.
2w+2L=80
L-8=w

To solve, we see that w=L-8. We can substitute this in the first equation to find L and then w.

2(L-8)+2L=80
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Now that we know L=24, we can find w. 24-8=16. Now we know that L=24 and w=16.

Lets check our answer. In our original system of equations, we have 48+32=80, which is true, and 24-8=16. Also, the perimeter must equal 80. 16+16+24+24=80.

As our final answer, the width of the pool is 16 feet, and the length is 24 feet.

Hope this helps!

5 0
3 years ago
A carpenter charges $720 for 18 hours of work. She charges the same amount of money for each hour of work.
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Answer:

A

Step-by-step explanation:

To start off, you know 18 hours= 720

So you could automatically get rid of B and D since 19 and 17 are not 18.

After that, you have it down to A and C. The way you would find how much she charges for one hour is dividing 720 by 18. When you do that it means you are divding 720$ into 18 different groups each group representing an hour. When you divide 720 by 18 you should get 40. So every hour she makes 40 dollars. 40x 2 hours is 80. I hope I helped you!

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