document.write( "Question 550448: if a 30000 machine deprecated 1% of its original value each year, find a function f that expresses the machine's value V after t years have elapsed \n" ); document.write( "

Algebra.Com's Answer #358769 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+V%5B0%5D+=+30000+\"$ , the initial value
\n" ); document.write( "Let $\"+V%5Bt%5D+\"$ = value after $\"+t+\"$ years
\n" ); document.write( "given:
\n" ); document.write( " $\"+V%5B1%5D+=+V%5B0%5D+-+.01V%5B0%5D+\"$
\n" ); document.write( " $\"+V%5B2%5D+=+V%5B0%5D+-+.01%2A%28+V%5B0%5D+-+.01%2AV%5B0%5D+%29+\"$
\n" ); document.write( " $\"+V%5B2%5D+=+V%5B0%5D+-+.01V%5B0%5D+%2B+.01%5E2%2AV%5B0%5D+\"$
\n" ); document.write( " $\"+V%5B2%5D+=+V%5B1%5D++-+.01%2A%28+V%5B0%5D++-+.01V%5B0%5D+%29+\"$
\n" ); document.write( " $\"+V%5B2%5D+=+V%5B1%5D+-+.01V%5B1%5D+\"$
\n" ); document.write( " $\"+V%5B2%5D+=+V%5B1%5D%2A%28+1+-+.01+%29+\"$
\n" ); document.write( " $\"+V%5B2%5D+=+V%5B0%5D%2A%28+1+-+.01+%29%2A%28+1+-+.01+%29+\"$
\n" ); document.write( " $\"+V%5B2%5D+=+V%5B0%5D%2A%28+1+-+.01+%29%5E2+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "I can say
\n" ); document.write( " $\"+V%5Bt%5D+=+V%5B0%5D%2A%28+1+-+.01+%29%5Et+\"$
\n" ); document.write( " $\"+V%5Bt%5D+=+30000%2A.99%5Et+\"$ \n" ); document.write( "

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