A sample of 400 grams of radioactive substance decays according to the function $\mathrm { A } ( \mathrm { t } ) = 400 \mathrm { e } ^ { - .035 \mathrm { t } }$ , where t is the time in years. How much of the substance will be left in the sample after 10 years? Round your answer to the
Nearest whole gram.
A) 0 g
B) 12 g
C) 1 g
D) 282 g

Question

Quizplus · Accepted Answer

To find the amount of substance left after 10 years, substitute $t = 10$ into the given function: $A(10) = 400e^{-0.035 \times 10}$. Simplifying, $A(10) = 400e^{-0.35}$. Calculating this gives approximately 282 grams.

A Sample of 400 Grams of Radioactive Substance Decays According A(t)=400e−.035t\mathrm { A } ( \mathrm { t } ) = 400 \mathrm { e } ^ { - .035 \mathrm { t } }A(t)=400e−.035t

A Sample of 400 Grams of Radioactive Substance Decays According $\mathrm { A } ( \mathrm { t } ) = 400 \mathrm { e } ^ { - .035 \mathrm { t } }$