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3 years ago

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ormula1" title="1\ \frac{1}{2}-\frac{2}{4}" alt="1\ \frac{1}{2}-\frac{2}{4}" align="absmiddle" class="latex-formula">
Brainliest ko pa tama

1 answer:

mars1129 [50]3 years ago

4 0

21, that’s because 9+10=21

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element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample

pashok25 [27]

Answer:

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The function showing the mass of the sample remaining after t is $A(t) = 80(0.9675)^t$

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

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This means that $A(21) = 0.5A(0)$ . We use this to find r, the percentage rate of decay per year.

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$0.5A(0) = A(0)(1-r)^{21}$

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$1 - r = 0.5^{\frac{1}{21}}$

$1 - r = 0.9675$

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Given that the initial mass of a sample of Element X is 80 grams.

This means that $A(0) = 80$

The equation is:

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$A(t) = 80(1-0.0325)^t$

$A(t) = 80(0.9675)^t$

The function showing the mass of the sample remaining after t is $A(t) = 80(0.9675)^t$

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Step-by-step explanation:

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