document.write( "Question 1024181: Please help me and show all work.\r
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document.write( "A computer purchased for $700 loses 12% of its value every year.\r
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document.write( " The computer's value can be modeled by the function v(t)=a⋅bt, where v is the dollar value and t the number of years since purchase. \r
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document.write( " (A) In the exponential model a= and b=. (give your answers in decimal form; rounding to the nearest tenth if necessary) \r
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document.write( " (B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. \r
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document.write( " The answer is years \n" );
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Algebra.Com's Answer #639634 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A computer purchased for $700 loses 12% of its value every year. \n" ); document.write( "The computer's value can be modeled by the function v(t)=a⋅bt, where v is the dollar value and t the number of years since purchase. \n" ); document.write( "----- \n" ); document.write( " \n" ); document.write( "(A) In the exponential model a = 700 and b = 0.88 \n" ); document.write( " (give your answers in decimal form; rounding to the nearest tenth if necessary) \n" ); document.write( " \n" ); document.write( "(B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. \n" ); document.write( "350 = 700*(0.88)^t \n" ); document.write( "0.88^t = 0.5 \n" ); document.write( "---- \n" ); document.write( "t = log(0.5)/log(0.88) = 5.4 years \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " \n" ); document.write( "The answer is years \n" ); document.write( " |