A radioactive sample initially contains 1.0×104 nuclei of a certain isotope whose half-life is 3h. Exactly after 3h, the sample is injected with another 2.0×103 nuclei of the same isotope. How many nuclei of the isotope will remain undecayed after a further 3h?
a) 4.5×103
b) 2.5×103
c) 3.5×103
d) 3.0×103