# SOLUTION: find N base 0 and k in the exponential function N(t)= N base 0e^kt, given that N(0) = 11 and N(4) = 5. state k acurate to six decimal places

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: find N base 0 and k in the exponential function N(t)= N base 0e^kt, given that N(0) = 11 and N(4) = 5. state k acurate to six decimal places      Log On

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 Question 63304: find N base 0 and k in the exponential function N(t)= N base 0e^kt, given that N(0) = 11 and N(4) = 5. state k acurate to six decimal placesAnswer by stanbon(57984)   (Show Source): You can put this solution on YOUR website!find No and k in the exponential function N(t)= No e^kt, given that N(0) = 11 and N(4) = 5. state k accurate to six decimal places ------------------ N(t)= No e^kt -------------- N(0)=No e^(k*0) N(0)=No e^0 N(0)=No = 11 --------------- N(4)=11 e^(4k) 5=11 e^(4k) 5/11 = e^(4k) Take the natural log of both sides to get: 4k= -0.7884573604... k= -0.1971143401... ----------- Cheers, Stan H.