Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\stackrel{half~empty}{25~\hfill }\\ P=\textit{initial amount}\dotfill &50\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\\ \end{cases}[/tex]
[tex]25=50(1-0.04)^t\implies \cfrac{25}{50}=(1-0.04)^t\implies \cfrac{1}{2}=0.96^t \\\\\\ \log\left( \cfrac{1}{2} \right)=\log(0.96^t)\implies \log\left( \cfrac{1}{2} \right)=t\log(0.96) \\\\\\ \cfrac{\log\left( \frac{1}{2} \right)}{\log(0.96)}=t\implies 16.9797\approx t\implies \stackrel{hr}{17}\approx t[/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
