Question

An element with mass 590 grams decays by 19. 5% per minute. How much of the element is remaining after 15 minutes, to the nearest 10th of a gram?

Answer 1

Step 1

Formulate a recursive sequence modeling the number of grams after n minutes.

we have that

100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829^n]

for n=19 minutes

a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g

Explanation: