Question

A type of radioactive element has a daily radioactive decay rate of 0.7%. If 12 pounds of this element are available today, find how much will still remain after 180 days. Use y=12(2.7)⁻⁰.⁰⁰⁷ᵗ, and let t be 180 . If needed, enter your answer to 5 decimal places.

Answer 1

Approximately 3.823 pounds of the radioactive element will remain after 180 days.

Step-by-step explanation:

To find the remaining amount of the radioactive element after 180 days, we can use the formula y = 12(2.7)^(-0.007t), where t is the number of days. Plugging in t = 180 into the formula, we get:

y = 12(2.7)^(-0.007*180) = 12(2.7)^(-1.26) ≈ 3.823

Therefore, approximately 3.823 pounds of the radioactive element will remain after 180 days.