Question

Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount remains after 100 years? (Round your answer to two decimal places.)

Answer 1

$P(t)=1*0.5^{\frac{t}{h}}$

Where:

P(t): percentage of initial remaining

t: time elapsed

h: half life of substance

Given the variables we know, we can solve for P(t).

$P(t)=0.5^{\frac{100}{1599}}$

Plugging this into a calculator, we get that

P(t) = 0.95757733 = 95.757733% remaining