a radioactive compound with mass 100 grams decays at a rate of 19% per hour. which equation represents how…

a radioactive compound with mass 100 grams decays at a rate of 19% per hour. which equation represents how many grams of the compound will remain after 3 hours?\nanswer\n$c = 100(1 - 0.19)$\n$c = 100(1.19)^3$\n$c = 100(1 + 0.19)^3$\n$c = 100(1 - 0.19)(1 - 0.19)(1 - 0.19)$

a radioactive compound with mass 100 grams decays at a rate of 19% per hour. which equation represents how many grams of the compound will remain after 3 hours?\nanswer\n$c = 100(1 - 0.19)$\n$c = 100(1.19)^3$\n$c = 100(1 + 0.19)^3$\n$c = 100(1 - 0.19)(1 - 0.19)(1 - 0.19)$

Answer

Explanation:

Step1: Identify decay - formula

The formula for exponential decay is $C = C_0(1 - r)^t$, where $C_0$ is the initial amount, $r$ is the rate of decay, and $t$ is the time.

Step2: Determine values

Here, $C_0=100$ grams (initial mass), $r = 0.19$ (19% decay rate), and $t = 3$ hours.

Step3: Substitute values

Substituting into the formula, we get $C=100(1 - 0.19)^3=100(1 - 0.19)(1 - 0.19)(1 - 0.19)$.

Answer:

$C = 100(1 - 0.19)(1 - 0.19)(1 - 0.19)$