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greeneyes<3

You buy a computer for $1200. The value of the computer decreases by 30% each year. Find the value of the computer after 4 years. Please show work! Thanks!

  • 2 years ago
  • 2 years ago

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  1. marshallinwashington
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    Let c = value of computer in dollars. Let t= the number of years \[c=1200e ^{-.3t}\]\[c=1200e ^{-.3(4)}\] c= $361.43

    • 2 years ago
  2. greeneyes<3
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    Thanks the only thing is that my teacher got the answer: $288.12

    • 2 years ago
  3. greeneyes<3
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    Sometimes he is wrong though...

    • 2 years ago
  4. marshallinwashington
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    He probably using a linear equation instead of an exponential. Have you discussed logarithms?

    • 2 years ago
  5. greeneyes<3
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    We did logarithms about 2 months ago.

    • 2 years ago
  6. marshallinwashington
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    Check back a little while and I'll see if I can come up with the linear equation

    • 2 years ago
  7. greeneyes<3
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    okay you can take your time :) really, thanks for helping me. It does mean a lot. :)

    • 2 years ago
  8. marshallinwashington
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    It's not a linear equation, but an exponential equation. \[c=1200(.7)^{t}\] So for t=4 years \[c=1200(.7)^{4}\] Which gives us $288.12 The difference between the first equation I wrote and the new one is that in the first one the computer lost value continuously.

    • 2 years ago
  9. greeneyes<3
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    Thank you so much!!! ^_^

    • 2 years ago
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