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.