SOLUTION: A sample of a radioactive substance has an initial mass of 31.9 mg. This substance follows a continuous exponential decay model
and has a half-life of 9 minutes.
(a) Let t be t
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Exponential-and-logarithmic-functions
-> SOLUTION: A sample of a radioactive substance has an initial mass of 31.9 mg. This substance follows a continuous exponential decay model
and has a half-life of 9 minutes.
(a) Let t be t
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Question 1190047: A sample of a radioactive substance has an initial mass of 31.9 mg. This substance follows a continuous exponential decay model
and has a half-life of 9 minutes.
(a) Let t be the time (in minutes) since the start of the experiment, and
let y be the amount of the substance at time t.
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
(b) How much will be present in 14 minutes?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
The formula is
y = .
Notice that 31.9 is the initial amount at the beginning (t= 0).
The denominator "9" in the index of the exponential function is the half-life time 9 minutes.
t is the current time in minutes.
To calculate remaining mass at t= 14 minutes, substitute t= 14 into the formula and compute.
