document.write( "Question 1209756: . A construction company purchases a bulldozer for $160.000. Each year the value of the bulldozer depreciates by 20% of its value in the preceding year. Let V, be the value of the bulldozer in the nth year. (Let n = 1 be the year the bulldozer is purchased)\r
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\n" ); document.write( "\n" ); document.write( "b) In what year will the value of the bulldozer be less than $100.000\r
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Algebra.Com's Answer #850188 by Edwin McCravy(20056) $\"\"$ $\"About$

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Looks like AI can solve this type problem. Give AI a few years and it'll be
\n" ); document.write( "able to solve any mathematics problem. In the beginning, anybody could beat
\n" ); document.write( "AI in chess. But the last time a human could beat AI in chess was in 2008.
\n" ); document.write( "It hasn't quite gotten there in mathematics. But give it time and it will! \r
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document.write( "[In the US, we use a DOT \".\" for a decimal point, and COMMAS \",\" to separate\r\n" );
document.write( "digits in groups of three. It is just the opposite in your country. But nobody\r\n" );
document.write( "separates digits in groups of three when calculating.]\r\n" );
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document.write( "Since the bulldozer drops in value by 20% each year means that each year, its\r\n" );
document.write( "value is only 80% of what it was the year before.  So, we are talking about the\r\n" );
document.write( "geometric sequence with first term a₁=160,000, and common ratio\r\n" );
document.write( "r=0.80, and its nth term is a_n = v_n. \r\n" );
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document.write( "(a)\r\n" );
document.write( "160,000, (0.80)(160000), (0.80)²(160000), (0.80)³(140000),...\r\n" );
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document.write( "(b)\r\n" );
document.write( "Since it will only take a few years, it's easier to do it this way\r\n" );
document.write( "The 1st year the value is $160,000.\r\n" );
document.write( "The 2nd year the value is $160,000(0.80) = $128,000.\r\n" );
document.write( "The 3rd year the value is $128,000(0.08) = $102,400.\r\n" );
document.write( "The 4th year the value is $102,000(0.80) = $81,920.\r\n" );
document.write( "So the 4th year is the first year its value will be less than $100,000 all year.\r\n" );
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document.write( "But your teacher might expect you to use the formula. So you'd do it\r\n" );
document.write( "this way to please your teacher:\r\n" );
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document.write( "So the year after 3.10628372 years its value will be less than $100,000.\r\n" );
document.write( "That means that the 4th year is the first year its value will be less \r\n" );
document.write( "than $100,000 all year.\r\n" );
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document.write( "Edwin

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