Federal Taxes and the United States Population Federal Taxes Collected Population 3.18 $3.50 400 3.02 $3.00 2.78 316 | 319 350 320 314 2.45 $2.50 300 $2.00 250 $1.50 200 $1.00 150 $0.50 100 2012 2013 2014 2015 Year Federal Taxes Collected (trillions of dollars) Population (millions)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question

The bar graph shows the total amount Americans paid in federal taxes, in trillions of dollars, and the U.S. population, in millions, from 2012 through 2015.

a. In 2014, the United States government collected $3.02 trillion in taxes. Express this number in scientific notation.
b. In 2014, the population of the United States was approximately 319 million. Express this number in scientific notation.
c. Use your scientific notation answers from parts (a) and (b) to answer this question: If the total 2014 tax collections were evenly divided among all Americans, how much would each citizen pay? Express the answer
in decimal notation, rounded to the nearest dollar.

Federal Taxes and the United States Population
Federal Taxes Collected
Population
3.18
$3.50
400
3.02
$3.00
2.78
316
| 319
350
320
314
2.45
$2.50
300
$2.00
250
$1.50
200
$1.00
150
$0.50
100
2012
2013
2014
2015
Year
Federal Taxes Collected
(trillions of dollars)
Population (millions)
Transcribed Image Text:Federal Taxes and the United States Population Federal Taxes Collected Population 3.18 $3.50 400 3.02 $3.00 2.78 316 | 319 350 320 314 2.45 $2.50 300 $2.00 250 $1.50 200 $1.00 150 $0.50 100 2012 2013 2014 2015 Year Federal Taxes Collected (trillions of dollars) Population (millions)
Expert Solution
Step 1

It is given that the tax collected by US government in the year 2014 was 3.02 trillion and the population

of US in the same year was 319 million.

We have to express these numbers in the scientific notation. For this, we have to determine the value of

a trillion and a million.

Step 2

Part a

The tax collection is 3.02 trillion. We know that 1 trillion is equal to 1012. So we get,

1 trillion=10123.02 trillion=3.02×1012

This implies that 3.02 trillion is equal to 3.02×1012.

Therefore, the tax collection in 2014 is $3.02×1012.

 

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