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The assets A of public pension funds (in billions of dollars) can be approximated by the function A=0.518x2-3.06x+16.1, where x=3 corresponds with the year 2003. What were the assets in 2013? What year(s) produced $27.3 Billion?

Question

The assets A of public pension funds (in billions of dollars) can be approximated by the function A=0.518x2-3.06x+16.1, where x=3 corresponds with the year 2003. 

What were the assets in 2013? 

What year(s) produced $27.3 Billion? 

check_circleAnswer
Step 1

x=3 corresponds to 2003.

So, 2013 is 3+(2013-2003)= 3+10=13 year

Step 2

We will plug x=13 in the given equation and then we find A.

Answer: 63.862 billions of dollars. 

A-0.518x2-3.06x+16.1
A-0.518(13)2-3.06(13)+16.1
A-87.542-39.78+16.1
A 63.862
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Image Transcriptionclose

A-0.518x2-3.06x+16.1 A-0.518(13)2-3.06(13)+16.1 A-87.542-39.78+16.1 A 63.862

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Step 3

For A=27.3 we have to find x now. 

We ...

A-0.518x2-3.06x+16.1
Or, 27.3-0.518x2-3.06x+16.1
Or, 0.518x2-3.06x+16.1-27.3=0
Or, 0.518x2-3.06x-11.2=0
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Image Transcriptionclose

A-0.518x2-3.06x+16.1 Or, 27.3-0.518x2-3.06x+16.1 Or, 0.518x2-3.06x+16.1-27.3=0 Or, 0.518x2-3.06x-11.2=0

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