P. 12 Simple interest E7Y Stanley has $$ \$ 400 $$ in a savings account that earns $$ 10 \% $$ annually. The interest is not compounded. How much will he have in total in 1 year? Use the formula $$ i= $$ prt, where $$ i $$ is the interest earned, $$ p $$ is the principal (starting amount), $$ r $$ is the interest rate expressed as a decimal, and $$ t $$ is the time in years.

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To determine how much Stanley will have in his savings account after 1 year with simple interest, we'll use the simple interest formula:

$$
i = p \times r \times t
$$

**Where:**
- $$ i $$ = Interest earned
- $$ p $$ = Principal amount (\$400)
- $$ r $$ = Annual interest rate (expressed as a decimal)
- $$ t $$ = Time in years

**Step 1: Convert the Interest Rate to Decimal**

The given annual interest rate is $$ 10\% $$. To convert a percentage to a decimal, divide by 100:

$$
r = \frac{10}{100} = 0.10
$$

**Step 2: Plug the Values into the Formula**

$$
i = 400 \times 0.10 \times 1
$$

$$
i = 40
$$

**Step 3: Calculate the Total Amount After 1 Year**

The total amount in the account after 1 year is the sum of the principal and the interest earned:

$$
\text{Total Amount} = p + i
$$

$$
\text{Total Amount} = 400 + 40 = \$440
$$

**Answer:** After 1 year, Stanley will have **\$440** in total in his savings account.
After 1 year, Stanley will have \$440 in total in his savings account.

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