A radioactive substance is decaying at a constant yearly percentage rate of 6%.The initial amount is 444 grams.How much will remain after 13 years? Round your answer to two decimal places if necessary.
A) 100.68 grams
B) 198.63 grams
C) 199.7 grams
D) 97.68 grams

Question

A radioactive substance is decaying at a constant yearly percentage rate of 6%.The initial amount is 444 grams.How much will remain after 13 years? Round your answer to two decimal places if necessary. ​
A) 100.68 grams
B) 198.63 grams
C) 199.7 grams
D) 97.68 grams

Quizplus · Accepted Answer

The amount remaining after 13 years can be calculated using the formula for exponential decay: $ A = P(1 - r)^t $, where $ P = 444 $ grams, $ r = 0.06 $, and $ t = 13 $. Plugging in these values gives $ A = 444(1 - 0.06)^{13} \approx 198.63 $ grams.

A Radioactive Substance Is Decaying at a Constant Yearly Percentage