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Multiple Choice
When something earns compound interest, it earns interest on:
A
Only the initial principal
B
Only the interest earned in the first period
C
Only the additional deposits made after the initial investment
D
Both the initial principal and the accumulated interest from previous periods
Verified step by step guidance
1
Understand the concept of compound interest: Compound interest is the interest calculated on the initial principal and also on the accumulated interest from previous periods.
Break down the formula for compound interest: The formula is typically expressed as \( A = P(1 + r)^n \), where \( A \) is the future value, \( P \) is the principal amount, \( r \) is the interest rate per period, and \( n \) is the number of periods.
Recognize the key difference between simple and compound interest: Simple interest is calculated only on the initial principal, while compound interest includes interest on both the principal and the accumulated interest.
Apply the concept to the problem: Since compound interest earns interest on both the initial principal and the accumulated interest from previous periods, this is the correct answer.
Relate the concept to real-world scenarios: Compound interest is commonly used in savings accounts, investments, and loans, where the interest grows exponentially over time due to the compounding effect.