Solve the Problem $900 \mathrm {~g}$ Of Lead-210 Decays to Polonium-210 According to the Function Given

question 58

Multiple Choice

Solve the problem.
-A sample of $900 \mathrm {~g}$ of lead-210 decays to polonium-210 according to the function given by $\mathrm { A } ( \mathrm { t } ) = 900 \mathrm { e } ^ { - 0.032 \mathrm { t } }$ , where $t$ is time in years. What is the amount of the sample after 50 years (to the nearest g) ?

• A) \(182 \mathrm {~g}\)
• B) \(132 \mathrm {~g}\)
• C) \(4458 \mathrm {~g}\)
• D) \(28 \mathrm {~g}\)

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