For Questions 1112 use the following information to anower t

For Questions 11-12, use the following information to anower the questions tleave each anower in erart form round each ansner to the nearest. whole number 12 pts function below where Ni colony of bacteria that grows according to the law of uninhibited growth is modeled by the s measured in grams and t is measured in days. Nt)10 11. What is the population after 5 days? 12. When will the number of bacteria double?

Solution

given population N(t)=100e^0.035t ,where initial population =100, t is measured in days

11)

population after 5 days =N(5)

population after 5 days =100e^0.035*5

population after 5 days =100e^0.175 exactly

population after 5 days =119 approximately

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12)

bacteria doubles =>N(t)=2*100

=>100e^0.035t=2*100

=>e^0.035t=2

=>0.035t=ln2

=>t=(1_/0.035)ln2

=>t=(200_/7)ln2 days exactly

=>t=20 days approximately

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