document.write( "Question 1132235: A computer purchased for $650 loses 18% of its value every year.\r
\n" ); document.write( "\n" ); document.write( "The computer's value can be modeled by the function v(t)=a⋅b^t, where v is the dollar value and t the number of years since purchase. \r
\n" ); document.write( "\n" ); document.write( "In the exponential model a = , b = \r
\n" ); document.write( "\n" ); document.write( "In how many years will the computer be worth half its original value? Round answer to 1 decimal place.
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Algebra.Com's Answer #749199 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
a, the initial purchased value, $650.\r
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\n" ); document.write( "\n" ); document.write( "b, loss of 18% of value per year, 1-0.18=0.82.\r
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\n" ); document.write( "\n" ); document.write( "\"v=ab%5Et\"
\n" ); document.write( "for halving the value,
\n" ); document.write( "\"1b%5Et=1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28%28b%5Et%29%29=log%28%281%2F2%29%29\"
\n" ); document.write( "\"t%2Alog%28%28b%29%29=log%28%281%2F2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"t=log%28%281%2F2%29%29%2Flog%28%28b%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"t=log%28%281%2F2%29%29%2Flog%28%280.82%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"t=3.5years\"
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