Advanced MathMediumCompound growth over two periods
Advanced Math practice question
An account balance grows by 5% each year. If the balance is $2,000 now, what will it be, in dollars, after 2 years?
Answer: 2205
Each year multiplies the balance by 1.05: 2,000 × 1.05 × 1.05 = 2,000 × 1.1025 = 2,205.
Common wrong answers
- If you answered 2100
- 2,100 is the balance after ONE year.
- If you answered 2200
- 2,200 adds 5% of the ORIGINAL twice (100 + 100). In the second year, 5% is taken of 2,100, giving 105.
- If you answered 2210
- 2,210 is 2,000 × 1.105, treating two years of 5% as a flat 10.5%; the correct factor is 1.05² = 1.1025.
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