1. Recall the compound interest formula for compounding times a year:
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 an annual interest rate of , so .
is the number of times interest is compounded per year. Since it's compounded semi - annually, .
is the number of years. Here, years.
2. Substitute the values into the formula:
First, calculate the value inside the parentheses: