Final answer:
To calculate the interest earned on the principal in Manda Loya's savings account, we need to use the compound interest formula. By plugging in the given values and solving the equation, we find that the interest earned is $21.30.
Step-by-step explanation:
To calculate the interest earned on the principal in Manda Loya's savings account, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, Manda deposited $1,120 with an interest rate of 5.5%, and interest is compounded daily. So, we have:
A = 1120(1 + 0.055/365)^(365 * 21)
After calculating this, we find that the final amount in the account is approximately $1141.30. Therefore, the interest earned on the principal is $1141.30 - $1120 = $21.30.