At the beginning of an experiment, a scientist has 176 grams of radioactive goo. after 165 minutes, her sample has decayed to 5.5 grams.

what is the half-life of the goo in minutes?

find a formula for g(t) , the amount of goo remaining at time t.g(t)=?

how many grams of goo will remain after 50 minutes?

The half-life equation is written as:

An = Aoe^-kt

We use this equation for the solution. We do as follows:

5.5 = 176e^-k(165)
k = 0.02
What is the half-life of the goo in minutes? 

0.5 = e^-0.02t
t = 34.66 minutes <HALF-LIFE

Find a formula for G(t) , the amount of goo remaining at time t.G(t)=? 

G(t) = 176e^-0.02t

How many grams of goo will remain after 50 minutes? 

G(t) = 176e^-0.02(50) = 64.75 g

Step-by-step explanation: