Final answer:
Sonya will earn $60 in simple interest over a 3 year period from a $400 deposit in a savings account with a 5% annual interest rate, calculated using the simple interest formula i = prt.
Step-by-step explanation:
To calculate the simple interest that Sonya will earn on her $400 savings account, we use the formula i = prt, where:
- i represents the interest earned
- p represents the principal invested ($400)
- r represents the rate of interest (0.05)
- t represents the time in years (3)
Plugging Sonya's values into the formula:
i = $400 × 0.05 × 3
Calculating the above:
i = $20 × 3
i = $60
Therefore, Sonya will earn $60 in simple interest over the 3 year period.