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 unit: sequences and series What do i do?

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A ream of paper is 2 in. think. imagine a ream of paper that is repeatedly cut in half and the two halves stacked one on top of the other. how many cuts have to be made before the stack of paper is taller than 318 ft.?

 

*Please walk me through it*

Textbook answer 11 cuts

 Jun 21, 2016
edited by Guest  Jun 21, 2016
edited by Guest  Jun 21, 2016

Best Answer 

 #2
avatar+37159 
+5

11. cuts       (318 ft = 3816 inches)

1 cut = 4 inches

2 cut = 8 inches

3 cut = 16 inches

4 cut = 32 inches

5 cut = 64

6   = 128

7  = 256

8= 512

9 = 1024

10 = 2048

11= 4096

 Jun 21, 2016

3+0 Answers

 #1
avatar+87 
0

159 cuts.

 Jun 21, 2016
 #2
avatar+37159 
+5
Best Answer

11. cuts       (318 ft = 3816 inches)

1 cut = 4 inches

2 cut = 8 inches

3 cut = 16 inches

4 cut = 32 inches

5 cut = 64

6   = 128

7  = 256

8= 512

9 = 1024

10 = 2048

11= 4096

ElectricPavlov Jun 21, 2016
 #3
avatar
+5

Let the number of cuts=C

 

2 x 2^C=318 x 12 =3,816 divide both sides by 2

2^C=1,908 take the logs of both sides

C=Log(1,908)/Log(2)

C=10.899 or ~ 11 cuts.

 Jun 21, 2016

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