a. To calculate the interest earned in 30 years, we can use the simple interest formula:
Simple interest = Principal * Rate * Time
Here, the principal (P) is $3,000, the rate (R) is 1.9%, and the time (T) is 30 years.
Simple interest = $3,000 * 0.019 * 30 = $1,710
Therefore, the customer will earn $1,710 in interest over 30 years.
b. To calculate the account balance after 30 years, we can add the interest earned to the principal:
Account balance = Principal + Interest
Account balance = $3,000 + $1,710 = $4,710
Therefore, the account balance will be $4,710 after 30 years.