Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the half - life of a particular radioactive substance is 3 months. if y…

Question

the half - life of a particular radioactive substance is 3 months. if you started with 50 grams of this substance, how much of it would remain after 12 months? remaining amount = 50(1 - 0.50)^? remaining amount = i(1 - r)^t enter the number that belongs in the green box.

Explanation:

Step1: Calculate the number of half - lives

The half - life is 3 months and the time elapsed is 12 months. So the number of half - lives $n=\frac{12}{3}=4$.

Step2: Identify the exponent in the formula

In the formula $Remaining\ Amount = I(1 - r)^t$, the exponent $t$ represents the number of half - lives. Here, $t = 4$.

Answer:

4