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A radioactive material has a half-life of 50ln2 years. If you add 5 grams per year to the material, how much material will you have after 5 years if you start with 100 grams?

What I've done so far:

t = ln2/k = 50ln2

k = 1/50

k = .02

A = A

_{0}e^-kt

N = 100e^(-.02)(5) = 90 grams

90 + 5 = 95 grams

i'm not sure if this is correct because i have a feeling this is not the correct way to take into account the 5 grams per year being added constantly. plz let me know if i need to fix anything. thx.