an element with mass 970 grams decays by 15.1% per minute. how much of the element is remaining after 14…

Answer:

107.8

Explanation:

Step1: Identify decay formula

The formula for exponential decay is $A = A_0(1 - r)^t$, where $A_0$ is the initial amount, $r$ is the rate of decay, and $t$ is the time. Here, $A_0=970$, $r = 0.151$, and $t = 14$.

Step2: Substitute values

$A=970\times(1 - 0.151)^{14}$.

Step3: Calculate inside parentheses

$1-0.151 = 0.849$.

Step4: Calculate exponent

$(0.849)^{14}\approx0.11113$.

Step5: Multiply by initial amount

$A = 970\times0.11113\approx107.8$.