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4 votes
300=525(1-e^-.038t)

Solve for t

User Metakermit
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1 Answer

3 votes

525\left(1-e^(-0.038t)\right)=300\\\\525-525e^(-0.038t)=300\\\\-525e^(-0.038t)=300-525\\\\-525e^(-0.038t)=-225\\\\e^(-0.038t)=(225)/(525)\\\\ e^(-0.038t)=(3)/(7)\\\\-0.038t=\ln\left((3)/(7)\right)\\\\\boxed{t=-\ln\left((3)/(7)\right)*0.038}
User Sachin Khot
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