anonymous
  • anonymous
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!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Let c = value of computer in dollars. Let t= the number of years \[c=1200e ^{-.3t}\]\[c=1200e ^{-.3(4)}\] c= $361.43
anonymous
  • anonymous
Thanks the only thing is that my teacher got the answer: $288.12
anonymous
  • anonymous
Sometimes he is wrong though...

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anonymous
  • anonymous
He probably using a linear equation instead of an exponential. Have you discussed logarithms?
anonymous
  • anonymous
We did logarithms about 2 months ago.
anonymous
  • anonymous
Check back a little while and I'll see if I can come up with the linear equation
anonymous
  • anonymous
okay you can take your time :) really, thanks for helping me. It does mean a lot. :)
anonymous
  • anonymous
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.
anonymous
  • anonymous
Thank you so much!!! ^_^

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