Mathematics, 27.09.2019 05:50 look26goingjbgy
Aculture started with 4000 bacteria after 8 hours it grew to 4400 bacteria. predict how many bacteria will be present after 9 hours.
Answers: 2
![\bf A=P(1+r)^t\qquad \begin{cases} \textit{8 hours later}\\ t=8\qquad A=4400 \end{cases}\implies 4400=4000(1+r)^8 \\\\\\ \cfrac{4400}{4000}=(1+r)^8\implies \cfrac{11}{10}=(1+r)^8\implies \sqrt[8]{\cfrac{11}{10}}=1+r \\\\\\ \sqrt[8]{\cfrac{11}{10}}-1=r\implies 0.012\approx r\qquad thus\qquad \boxed{A=4000(1+0.012)^t}](/tpl/images/0267/1640/9c27f.png)
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Aculture started with 4000 bacteria after 8 hours it grew to 4400 bacteria. predict how many bacteri...
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