Answer:
146.6 grams
Step-by-step explanation:
We have been given an element with Mass 630 grams decays by 18.8% per minute.
We will use exponential decay function to solve our given problem.
[tex]y=a\cdot (1-r)^x[/tex], where,
y = Final amount,
a = Initial amount,
r = Rate of decay in decimal form,
x = Time.
[tex]18.8\%=\frac{18.8}{100}=0.188[/tex]
Substitute the given values:
[tex]y=630\cdot (1-0.188)^7[/tex]
[tex]y=630\cdot (0.812)^7[/tex]
[tex]y=630\cdot 0.232751347[/tex]
[tex]y=146.633349[/tex]
[tex]y\approx 146.6[/tex]
Therefore, 146.6 grams of the element is remaining after 7 minutes.
