A 100-gram sample of a radioactive isotope decays at a rate of 6% every week. How much of the sample will be left one year from now?

Respuesta :

4 grams sample will be left after 1 year

Step-by-step explanation:

The decay function for percentage decay is given by:

[tex]y =a (1-r)^x[/tex]

Here,

a is the initial value

r is the rate

x is the number of time periods

Given

Initial value = 100 grams

Rate = 6% = 0.06

Time = 1 year = 52 weeks

Putting the values in the formula

[tex]y = 100 (1-0.06)^{52}\\y = 100(0.94)^{52}\\y = 4.00\ grams[/tex]

Hence,

4 grams sample will be left after 1 year

Keywords: Decay, percentage

Learn more about decay functions at:

  • brainly.com/question/103144
  • brainly.com/question/10382470

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