If you spread a billion dollars worth of 1-dollar bills over the ground, how many square miles would they cover? (The length and the width of a 1-dollar bill are 6.14 and 2.61 inches, respectively.)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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If you spread a billion dollars worth of 1-dollar bills over the ground, how many square miles would they cover? (The length and the width of a 1-dollar bill are 6.14 and 2.61 inches, respectively.)

Expert Solution
Step 1

We have length and width of 1-dollar bill

length : l=6.14 inch

width : w=2.61 inch

Area of 1-dollar bill is given as 

A=l×w

A=6.14×2.61 in2

A=16.0254  in2

Number of 1-dollar bills =1 billion 

1 billion = 109

Area of 1billion dollar bills will be 

A1=A×109

A1=16.0254×109 in2

Using conversion unit

1 mile = 63360 inches

1 inch = 163360 mile

1 in2=1633602 mi2 

in2=14014489600 mi2

So, 

A1=16.0254×1094014489600  mi2

A1=1602540004014489 mi2

A1=3.9918897 mi2

Rounding off two decimal places 

A1=3.99 mi2

Area of 1 billion dollar bills = 3.99 square miles

 

 

 

 

 

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