Suppose the quantity​ (in grams) of a radioactive substance present at time t is Q(t)=1296(3^-0.4t​ ) ,where t is measured in months. a. How much will be prese

Question

Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t)=1296(3^-0.4t  ) ,where t is measured in months.
a. How much will be present in 6 months?
b. How long will it take to reduce the substance to 16 grams?
a. There will be
nothing grams of the substance present in 6 months.
(Round to the nearest gram as needed.)

Answer 1

Q(t)=1296(3^-0.4t ), let t = 6

Q(t)=1296(3^-0.4(6) )

Q(t)=1296(3^-2.4)

Q(t)=1296(.071599335)

Q(t) = 92.8 = 93 g