To calculate how much money will be in Alicia's bank account in six months with 5% simple interest on $400.00, we first need to determine the interest earned in that time frame.
The formula for simple interest is:
\[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \]
Where:
- Principal = $400.00
- Rate = 5% = 0.05
- Time = 6 months = 0.5 years
Now, plugging in the values:
\[ \text{Interest} = 400 \times 0.05 \times 0.5 = 400 \times 0.025 = 10 \]
So, the interest earned in six months is $10.00.
Now, let's find out how much money will be in the account after six months:
\[ \text{Total Amount} = \text{Principal} + \text{Interest} = 400 + 10 = 410 \]
Therefore, the total amount in the account after six months will be $410.00.
The correct answer is $410.00.