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Simplify the following expression:

[tex]\[ = \{\$ 320 - [(0.40)(\$ 320)]\} \left[ \frac{1}{3}(444) \right] \][/tex]


Sagot :

Sure! Let's break down the calculations step-by-step to find the final result of the given expression:

1. Calculate the discount amount:

First, we need to determine the discount amount which is 40% of [tex]$320. \[ \text{Discount amount} = 0.40 \times 320 \] The discount amount comes out to be: \[ 0.40 \times 320 = 128 \] 2. Subtract the discount amount from the initial amount: Next, we subtract the discount amount from the initial amount of $[/tex]320:

[tex]\[ 320 - 128 = 192 \][/tex]

3. Calculate [tex]\(\frac{1}{3}\)[/tex] of the additional value (444):

Now, we need to determine one third (1/3) of 444:

[tex]\[ \frac{1}{3} \times 444 = 148 \][/tex]

4. Multiply the amount after discount by the result from step 3:

Finally, we multiply the amount after discount (192) by the one third of the additional value:

[tex]\[ 192 \times 148 \][/tex]

The result of this multiplication is:

[tex]\[ 28416 \][/tex]

Summary:

- The discount amount is 128.
- The amount after the discount is 192.
- The final result of the given expression is 28416.

So, the final result is [tex]\(\boxed{28416}\)[/tex].