an element with mass 210 grams decays by 8.3% per minute. how much of the element is remaining after 15…

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 as a decimal, and $t$ is the time. Here, $A_0=210$, $r = 0.083$, and $t = 15$.

Step2: Substitute values into formula

$A=210\times(1 - 0.083)^{15}=210\times(0.917)^{15}$.

Step3: Calculate $(0.917)^{15}$

Using a calculator, $(0.917)^{15}\approx0.2867$.

Step4: Calculate remaining amount

$A = 210\times0.2867=60.207$.

Step5: Round to nearest tenth

Rounding $60.207$ to the nearest tenth gives $60.2$.

Answer:

$60.2$