Camille has $\$ 32,758$ in a savings account that earns $10 \%$ annually. The interest is not compounded. To the nearest cent, how much will she have in total in 8 months?

Use the formula $i=p r t$, 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.

Round your answer to the nearest cent.
$\$$
Submit

Step 1 ：Given that the principal amount, \(p = \$32,758\), the annual interest rate, \(r = 10\% = 0.10\), and the time, \(t = 8\) months = \(\frac{8}{12}\) years.

Step 2 ：We can calculate the interest earned using the formula for simple interest, \(i = prt\).

Step 3 ：Substitute the given values into the formula: \(i = \$32,758 \times 0.10 \times \frac{8}{12}\).

Step 4 ：Calculate the interest: \(i = \$32,758 \times 0.10 \times \frac{8}{12} = \$2,183.20\).

Step 5 ：The total amount in the account after 8 months is the sum of the principal and the interest: Total = Principal + Interest = \(\$32,758 + \$2,183.20 = \$34,941.20\).

Step 6 ：\(\boxed{\$34,941.20}\) is the total amount Camille will have in her account after 8 months.