Can someone please help? Algebra 2

Question

These questions I keep getting incorrect and I'm on my last attempt. If you could please help and if you have the time, explain your answer, that would be great!! Thank you!!!

 

1. The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $2.2 trillion?

 

 

2. The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $4.0 trillion?

 

Answer 1

an someone please help? Algebra 2
These questions I keep getting incorrect and I'm on my last attempt. If you could please help and if you have the time, explain your answer, that would be great!! Thank you!!!

1. The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $2.2 trillion?


2. The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $4.0 trillion?

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2. GDP was a linear function of time (year) during the period of 1985-99. The slope is positive.Equation is:

 

GDP(y)=(y-1985)*0.032*577+577=577*[(y-1985)*0.032+1]

 

check: if y=1985, then GDP=577 . all's right.

 

Let us see, now, if GDP turns ever to 4000 ( 4trillion that is ...we're working with billions)

So, we need to solve for "y" this equation:

 

GDP=4000=577*[(y-1985)*0.032+1]

then, y=[4000/577-1]/0.032+1985 =  2170.4

 

just check the arithmetic ...

 

for #1. we solve

GDP=2200=577*[(y-1985)*0.032+1]  [4 is replaced by 2.2]

 

y=[2200/577-1]/0.032+1985=2072.9  [almost 2073]

 

 

message if questions ...

good luck!