The number of bacteria present in a culture at time t hours is modeled by the continuous variable N and the relationship N = 2000e^kt, where k is a constant. Given that when t = 3, N = 18 000, find (a) the value of k to 3 significant figures

putting in the conditions: 18000 = 2000e^3k ..  ln(9) = 3k .. k=(1/3)ln(9)

BC
Answered by Benjamin C. Maths tutor

5074 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve C has equation y=(2x-3)^5. Find the equation of the normal of this curve at point P with y coordinate -32.


if a^x= b^y = (ab)^(xy) prove that x+y =1


Solve the following equation: 4(sinx)^2+8cosx-7=0 in the interval 0=<x=<360 degrees.


Simple binomial: (1+0.5x)^4


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning