SOLUTION: A laptop computer is purchased for $1200 . Each year, its value is 70% of its value the year before. After how many years will the laptop computer be worth $300 or less?
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Question 697434: A laptop computer is purchased for $1200 . Each year, its value is 70% of its value the year before. After how many years will the laptop computer be worth $300 or less?
Write the answer as a whole number. Found 3 solutions by rfer, josmiceli, MathTherapy:Answer by rfer(16322) (Show Source):
You can put this solution on YOUR website! For now, let = the purchase price
The value is:
1st yr:
2nd yr:
3rd yr:
4th yr:
etc
Let = the current value of the laptop
------------------
If the number of years,
( I use the because it makes the
1st year )
Take the log base 10 of both sides
After the 4th year, the laptop will be
worth $300 or less.
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Check answer:
OK
You can put this solution on YOUR website! A laptop computer is purchased for $1200 . Each year, its value is 70% of its value the year before. After how many years will the laptop computer be worth $300 or less?
Let y = year that laptop will be worth $300, or less
Since it loses 70%, or .7 of its value, then:
≈
After approximately 4 years, it will be worth < $300 ($288.12).
You can do the check!!
Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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