SOLUTION: 4.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 D

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 4.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 D      Log On


   



Question 1002177: 4.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 $2.8 trillion?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In 1999 the GDP in billions will be:
+%28+577+%2B+.032%2A577+%29%5E14+
+577%2A1.032%5E14+
+577%2A1.5542+=+896.792+
-------------------------
Note that $2.8 trillion = +2800+ billion
I can say that in the year 1985 + +n+,
GDP in billions = +2800+
+2800+=+577%2A1.032%5En+
+1.032%5En+=+2800%2F577+
+1.032%5En+=+4.8527+
Take the log of both sides
+n%2Alog%28+1.032+%29+=+log%28+4.8527+%29+
+.01368n+=+.68598+
+n+=+50.1447+
1985 + 50 = 2035
In 2035 the GDP was $2.8 trillion
Hope I got it!