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

Question

2 years ago

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now?

1 answer:

Dvinal [7] · Answer 1 · 2022-07-07T09:34:05+03:00

4 grams sample will be left after 1 year

Step-by-step explanation:

The decay function for percentage decay is given by:

$y =a (1-r)^x$

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

$y = 100 (1-0.06)^{52}\\y = 100(0.94)^{52}\\y = 4.00\ grams$

Hence,

4 grams sample will be left after 1 year

Keywords: Decay, percentage

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