Approximate the Number Using a Calculator $400 \mathrm {~g}$ Of Lead-210 Decays to Polonium-210 According to the Function Given

question 95

Multiple Choice

Approximate the number using a calculator. Round your answer to three decimal places.
-A sample of $400 \mathrm {~g}$ of lead-210 decays to polonium-210 according to the function given by $\mathrm { A } ( \mathrm { t } ) = 400 \mathrm { e } ^ { - 0.032 \mathrm { t } }$ , where $\mathrm { t }$ is time in years. What is the amount of the sample after 30 years (to the nearest g) ?

• A) \(153 \mathrm {~g}\)
• B) \(1045 \mathrm {~g}\)
• C) \(83 \mathrm {~g}\)
• D) \(111 \mathrm {~g}\)

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