Algebra-1

Question Analysis
This question tests the student's ability to apply the compound interest formula to a real-world scenario. The key is to correctly identify the values for the principal, interest rate, number of compounding periods, and time.

Key Concept Explanation
The compound interest formula is given by: where:
is the final amount (future value) including principal and interest,
is the initial principal,
is the annual interest rate (as a decimal),
is the number of times interest is compounded per year,
is the time the money is invested for, in years.

Step-by-step Solution
1. Identify the given values: , , (quarterly compounding), and .
2. Substitute these values into the compound interest formula:

3. Simplify the expression inside the parentheses:

Click "Show Answer" to reveal the answer and analysis