Exponential Growth and Decay [SOLVED]
- Thread starter Kimmy2
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BigGlenntheHeavy
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Re: Exponential Growth and Decay: Deadly Virus!
\(\displaystyle P(t) \ = \ Ce^{kt}, \ P(0) \ = \ 1000 \ = \ Ce^{k(0)} \ = \ C\)
\(\displaystyle P(t) \ = \ 1000e^{kt}, \ P(24) \ = \ 3 \ = \ 1000e^{24k}\)
\(\displaystyle k \ = \ ln(3/1000)^{1/24} \ \implire \ P(t) \ = \ 1000(3/1000)^{t/24}\)
\(\displaystyle You \ should \ be \ able \ to \ take \ it \ from \ here.\)
\(\displaystyle P(t) \ = \ Ce^{kt}, \ P(0) \ = \ 1000 \ = \ Ce^{k(0)} \ = \ C\)
\(\displaystyle P(t) \ = \ 1000e^{kt}, \ P(24) \ = \ 3 \ = \ 1000e^{24k}\)
\(\displaystyle k \ = \ ln(3/1000)^{1/24} \ \implire \ P(t) \ = \ 1000(3/1000)^{t/24}\)
\(\displaystyle You \ should \ be \ able \ to \ take \ it \ from \ here.\)
