document.write( "Question 241422: The amount of land in the US farms may be modeled by F(t)= 115.1(0.9352)^t + 900 million acres. According to the model in what year will the amount of land in the US drop bellow 910 million acres. Could i please get help do not understand how to solve this problem. \n" ); document.write( "
Algebra.Com's Answer #176802 by josmiceli(19441)\"\" \"About 
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There isn't enough information to know what
\n" ); document.write( "year it's starting at.
\n" ); document.write( "I'm assuming that \"t\" is the number of years
\n" ); document.write( "that have passed, and \"t+=+0\" is the 1st year
\n" ); document.write( "\"F%28t%29+=+115.1%2A.9352%5Et+%2B+900\"
\n" ); document.write( "\"F%280%29+=+115.1%2A.9352%5E0+%2B+900\"
\n" ); document.write( "\"F%280%29+=+115.1%2A1+%2B+900\"
\n" ); document.write( "\"F%280%29+=+1015.1\" million acres the 1st year
\n" ); document.write( "When does the land total \"910\" million acres?
\n" ); document.write( "\"F%28t%29+=+910\"
\n" ); document.write( "\"910+=+115.1%2A.9352%5Et+%2B+900\"
\n" ); document.write( "Subtract \"900\" from both sides
\n" ); document.write( "\"10+=+115.1%2A.9352%5Et\"
\n" ); document.write( "Take the log to the base \"10\" of both sides, noting that
\n" ); document.write( "\"log%2810%29+=+1\"
\n" ); document.write( "\"log%28a%2Ab%29+=+log%28a%29+%2B+log%28b%29\"
\n" ); document.write( "\"log%28a%5Eb%29+=+b%2Alog%28a%29\"
\n" ); document.write( "\"1+=+log%28115.1%29+%2B+t%2Alog%28.9352%29\"
\n" ); document.write( "\"1+=+2.061+-+.0291t\"
\n" ); document.write( "\".0291t+=+2.061+-+1\"
\n" ); document.write( "\".0291t+=+1.061\"
\n" ); document.write( "\"t+=+36.46\"
\n" ); document.write( "and
\n" ); document.write( "\".46%2A12+=+5.52\"
\n" ); document.write( "\"t\" is about equal to 36 years and 5 months.
\n" ); document.write( "Sometime in the 5th month of the 36th year,
\n" ); document.write( "the farm acres drops below \"910\"
\n" ); document.write( " \n" ); document.write( "
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