Final answer:
Interest earned and account balance can be calculated using the formula for compound interest.
Step-by-step explanation:
To calculate the interest earned and the account balance, we can use the formula for compound interest:
Account Balance = Principal (1 + Interest Rate)^(Number of Times Compounded)
For this question, the principal is $3,000, the interest rate is 2.6% (or 0.026 as a decimal), and the number of times compounded is 60 (since it's compounded monthly over 5 years).
Using the formula, we can calculate the interest earned and the account balance:
Interest earned = Account Balance - Principal
Account Balance = Principal (1 + Interest Rate)^(Number of Times Compounded)