Sure, let's break down and solve the expression step by step:
1. Calculate the discount:
[tex]\[
\text{Discount} = 0.40 \times \$320
\][/tex]
[tex]\[
\text{Discount} = \$128
\][/tex]
2. Calculate the remaining amount after the discount:
[tex]\[
\text{Remaining amount} = \$320 - \$128
\][/tex]
[tex]\[
\text{Remaining amount} = \$192
\][/tex]
3. Calculate the final value:
[tex]\[
\text{Final value} = \$192 \times \left(\frac{1}{3} \times 444\right)
\][/tex]
4. Simplify the expression inside the parentheses:
[tex]\[
\frac{1}{3} \times 444 = 148
\][/tex]
5. Multiply the remaining amount by the simplified result:
[tex]\[
\text{Final value} = \$192 \times 148
\][/tex]
6. Calculate the final multiplication:
[tex]\[
\text{Final value} = \$28416
\][/tex]
Therefore, the detailed solution provides the following results:
- The discount amount is \[tex]$128.
- The remaining amount after the discount is \$[/tex]192.
- The final value after the calculations is \$28416.
