5
advanced-mathA laptop depreciates by 20% each year. After how many years will it be worth less than 50% of its original value?
A
4 years
B
3 years
C
2 years
D
5 years
Correct Answer: A
Choice A is the correct answer. Find when value drops below 50%.
- Retention: Keeps 80% each year, so .
- Test values:
- Year 1:
- Year 2:
- Year 3: (still above 50%)
- Year 4: (below 50%) ✓
- Answer: 4 years.
💡 Strategic Tip: Test successive years until value drops below the threshold.
Choice B is incorrect because after 3 years, value is still 51.2%. Choice C is incorrect because after 2 years, value is 64%. Choice D is incorrect because it drops below 50% before year 5.