The decay of 333 mg of a radioactive substance is given by A(t) = 333e-0.024t, where t is time in years. Find the amount left after 17 years.
And you need to put this into the google search window:
333e^(-.024*17)
then learn how to do the same in your calculator.
To find the amount of the radioactive substance left after 17 years, we need to substitute the value of t into the equation A(t) = 333e^(-0.024t).
Let's begin by replacing t with 17 in the equation:
A(17) = 333e^(-0.024 * 17)
First, let's calculate -0.024 * 17:
-0.024 * 17 = -0.408
So, the equation now becomes:
A(17) = 333e^(-0.408)
To find the value of e^(-0.408), we can use a scientific calculator or a calculator with an exponential function key.
Using a calculator, we can find that e^(-0.408) ≈ 0.662387
Now, let's substitute this value back into the equation:
A(17) = 333 * 0.662387
Multiplying these values gives us:
A(17) ≈ 220.590171
Rounding to three decimal places, the amount left after 17 years is approximately 220.590 mg.