1. Use the compound interest formula for quarterly compounding:
The formula is , where:
is the amount of money accumulated after years, including interest.
is the principal amount (the initial investment). Here, .
is the annual interest rate (in decimal form). Given (5% annual interest rate).
is the number of times interest is compounded per year. Since it's compounded quarterly, .
is the number of years. Here, .
2. Substitute the values into the formula:
Calculate the value inside the parentheses: , then