Question 1002177
In 1999 the GDP in billions will be:
{{{ ( 577 + .032*577 )^14 }}}
{{{ 577*1.032^14 }}}
{{{ 577*1.5542 = 896.792 }}}
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Note that $2.8 trillion = {{{ 2800 }}} billion
I can say that in the year 1985 + {{{ n }}},
GDP in billions = {{{ 2800 }}}
{{{ 2800 = 577*1.032^n }}}
{{{ 1.032^n = 2800/577 }}}
{{{ 1.032^n = 4.8527 }}}
Take the log of both sides
{{{ n*log( 1.032 ) = log( 4.8527 ) }}}
{{{ .01368n = .68598 }}}
{{{ n = 50.1447 }}}
1985 + 50 = 2035
In 2035 the GDP was $2.8 trillion
Hope I got it!