Math  /  Algebra

QuestionExponential Decay Given that a quantity Q(t)Q(t) exhibiting exponential decay is described by the function Q(t)=1900e0.03tQ(t)=1900 e^{-0.03 t} where tt is measured in years, answer the following questions. (a) What is the decay constant kk ? k=0.03 Terrific! k=0.03 \quad \text { Terrific! } (b) What quantity is present initially? 1900 units 1900 \sim \sim \text { units } (c) Complete the following table of values. (Round your answers to the nearest whole number.) \begin{tabular}{|c|c|} \hline t & Q \\ \hline 0 & 1900 Awesome job! \\ \hline 5 & How might you evaluate Q(t)Q(t) for the given value of tt ? Click the Read It link to review the concepts you need. \\ \hline 10 & How might you evaluate Q(t)Q(t) for the given value of tt ? Click the Read It link to review the concepts you need. \\ \hline 20 & How might you evaluate Q(t)Q(t) for the given value of tt ? Click the Read It link to review the concepts you need. \\ \hline 100 & \\ \hline \end{tabular}

Studdy Solution
(a) The decay constant kk is 0.030.03. (b) The initial quantity is 19001900. (c) The table of values is: t=0t = 0, Q=1900Q = 1900 t=5t = 5, Q1635Q \approx 1635 t=10t = 10, Q1407Q \approx 1407 t=20t = 20, Q1043Q \approx 1043 t=100t = 100, Q95Q \approx 95

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