Radon decays 17.3% per day. Use the formula P(t)=100e^-0.173t to determine how much 100mg of radon will decay in five days. Round your answer to the nearest whole number.
To determine how much 100mg of radon will decay in five days, we can substitute t = 5 in the formula P(t) = 100e^(-0.173t).
P(5) = 100e^(-0.173 * 5)
= 100e^(-0.865)
≈ 100 * 0.421
≈ 42.1
Rounding 42.1 to the nearest whole number, we get 42.
Therefore, approximately 42mg of radon will decay in five days.