document.write( "Question 105730: The equation V = -2000t + 21,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $11,000, substitute 11,000 into the equation to find the age of the car.\r
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document.write( "Please explain step-by-step. \n" );
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Algebra.Com's Answer #76901 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Given that the value of a car (V) that is t years old is given by the equation: \n" ); document.write( ". \n" ); document.write( "V = -2000t + 21,000 \n" ); document.write( ". \n" ); document.write( "The problem tells you that the value of a car is $11,000 and asks you how many years old \n" ); document.write( "the car is ... where t is the age of the car. Substitute 11000 for V in the equation to \n" ); document.write( "get: \n" ); document.write( ". \n" ); document.write( "11000 = -2000t + 21000 \n" ); document.write( ". \n" ); document.write( "Get rid of the 21000 on the right side by subtracting 21000 from both sides to change the \n" ); document.write( "equation to: \n" ); document.write( ". \n" ); document.write( "-10000 = -2000t \n" ); document.write( ". \n" ); document.write( "Now solve for t by dividing both sides of this equation by -2000 and you have: \n" ); document.write( ". \n" ); document.write( "-10000/-2000 = t \n" ); document.write( ". \n" ); document.write( "Doing the division on the left side results in: \n" ); document.write( ". \n" ); document.write( "5 = t \n" ); document.write( ". \n" ); document.write( "The car is 5 years old. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand this problem and how to find the answer. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |