document.write( "Question 671661: My friend and I tried this word problem but we keep getting .01967 and not .029 like the answer should be.\r
\n" ); document.write( "\n" ); document.write( "we have to solve for k in...\r
\n" ); document.write( "\n" ); document.write( " the number of farms in a certain province has declined continually since 1950. in 1950, there were 92844 farms and in 1995 that number decreased to 24974\r
\n" ); document.write( "\n" ); document.write( "Assuming the number of farms decreased according to the exponential model, P(t)=Poe^-kt, find the value of K and write an exponential function that describes the number of farms after time t, in years, where t is the number of years since 1950\r
\n" ); document.write( "\n" ); document.write( "me and my friend tried\r
\n" ); document.write( "\n" ); document.write( "Ln(24974)/Ln(92844)= -45K
\n" ); document.write( "divided by -45 and we go K=.01967\r
\n" ); document.write( "\n" ); document.write( "not .029, help?\r
\n" ); document.write( "\n" ); document.write( "thanks in advance
\n" ); document.write( "

Algebra.Com's Answer #417511 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
\"P%28t%29=Poe%5E%28-kt%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+P%280%29=92844e%5E%28-kt%29\"\r
\n" ); document.write( "\n" ); document.write( "\"P%2845%29=92844e%5E%28-45k%29\"\r
\n" ); document.write( "\n" ); document.write( "\"24974=92844e%5E%28-45k%29\"\r
\n" ); document.write( "\n" ); document.write( "\"24974%2F92844+=e%5E%28-45k%29\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%2824974%2F92844+%29+=+ln%28e%5E%28-45k%29%29\"\r
\n" ); document.write( "\n" ); document.write( "ln(24974/92844 ) = -45k.ln(e)\r
\n" ); document.write( "\n" ); document.write( "ln(24974/92844 ) = -45k\r
\n" ); document.write( "\n" ); document.write( "=0.02918
\n" ); document.write( "My calc gives this answr
\n" ); document.write( "
\n" );