MMaOra9lexHcoleenv MMaOra9lexHcoleenv
  • 06-06-2017
  • Mathematics
contestada

A particle decays at a rate of 0.45% annually. assume and initial amount of 300 mg. (
a. how much of the particle remains after 60 years? (
b. what is the half-life of the particle?

Respuesta :

merlynthewhizz
merlynthewhizz merlynthewhizz
  • 13-06-2017
The increase is an exponential increase in a multiplier
[tex]100%+0.45%=100.45%[/tex] and as decimal 1.0045

Final Value = Initial Value × [tex] multiplier^{number of years} [/tex]
Final value = [tex]300(1.0045)^{60} [/tex]
Final value = 393 mg (to the nearest whole number)

Half life = 0.5 years
Final value = [tex]300(1.0045)^{0.5} [/tex]=301 mg
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