Sure, let's break down the expression step-by-step to arrive at the final result.
1. Identify the initial value and the discount:
- The initial value is [tex]$320.
- There's a discount of 40%, which can be represented as \(0.40 \times \$[/tex]320\).
2. Calculate the discounted amount:
- Discount amount = [tex]\(0.40 \times \$320\)[/tex].
- Performing the calculation, [tex]\(0.40 \times \$320 = \$128\)[/tex].
3. Subtract the discount from the initial value:
- Discounted value = Initial value - Discount amount.
- Discounted value = \[tex]$320 - \$[/tex]128.
- So, the discounted value is [tex]\( \$192 \)[/tex].
4. Identify the multiplier and the other value:
- The multiplier is [tex]\( \frac{1}{3} \)[/tex].
- The other value is [tex]$444.
5. Calculate the product of the discounted value and the multiplier:
- Multiplying the discounted value by the multiplier: \( \$[/tex]192 \times \frac{1}{3} \).
- [tex]\( \$192 \times \frac{1}{3} = \$64 \)[/tex].
6. Calculate the final result by multiplying the resulting value by the other value:
- Final result = Result from previous step [tex]\(\times\)[/tex] Other value.
- Final result = [tex]\( \$64 \times 444 \)[/tex].
- Performing the multiplication, [tex]\( \$64 \times 444 = 28416 \)[/tex].
So, the final answer is:
- The discounted value is [tex]\( \$192 \)[/tex].
- The final result is [tex]\( 28416 \)[/tex].
