Given that the radioactive decay equation is q = 1250 e-0.05t, if t is in months, the amount of milligram present after 4½ year is?
To determine the amount of milligrams present after 4½ years using the radioactive decay equation q = 1250e^(-0.05t), we need to convert 4½ years into months and then substitute the value into the equation.
First, let's convert 4½ years into months. Since there are 12 months in a year, we can calculate:
4½ years = 4.5 * 12 months = 54 months
Now, substitute the value of t = 54 into the equation:
q = 1250e^(-0.05 * 54)
Next, calculate the value of -0.05 * 54: -0.05 * 54 = -2.7
Substitute this value into the equation:
q = 1250e^(-2.7)
Using a calculator, evaluate e^(-2.7) to find its numerical value.
Once you have this value, multiply it by 1250 to get the final result, which represents the amount of milligrams of the radioactive substance present after 4½ years.