Respuesta :

Step-by-step explanation:

The americium is represented as 1. Every 432 years it decreases by 50%.

First half-life:

432 years.

[tex]1 \div 2 = 0.50[/tex]

0.50 (1/2) of americium remains after 432 years.

Second half-life:

[tex]432 \times 2 = 864[/tex]

[tex]0.5 \div 2 = 0.25[/tex]

0.25 (1/4) of the americium remains.

Third half-life:

[tex]432 \times 3 = 1296[/tex]

[tex]0.25 \div 2 = 0.125[/tex]

0.125 (1/8) of the americium remains.

Last half-life:

[tex]432 \times 4 = 1728[/tex]

[tex]0.125 \div 2 = 0.0625[/tex]

0.0625 (1/16) of the americium remains.

Option B is correct.

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