A number of cells decreases by 57 every 6 hours By what perc

A number of cells decreases by 57% every 6 hours. By what percent does it change every ...

a.) 1 hour ?

b.) 40 minutes ?

c.) 2 days?

let initial no of cell= N0

after 6 hour N(6)=(1-0.57)N0=0.43N0

let the function is N=N0(1-0.57)^t=N0(0.43)^T and let T=6 hour

(a)therfore rate per hour=t=T/6 = N(1)=N(T/6)=N0(0.43)^(T/6)=0.8687N0

therfore decreased by (1-0.8687)=0.1313 that is 13.13%

(b) After every 40 minuts=(40/60)hour=(2/3)hour

t=(T/6)*(2/3)=T/9

N(40minutes)=N(T/9)=N0(0.43)^(T/9)=0.9104N0

therfore decreased by (1-0.9104)=0.0896 that is 8.96%

(c)After every 24 hour

t=(T/6)*(24)=4T

N(40minutes)=N(4T)=N0(0.43)^(4T)=0.0341N0

therfore decreased by (1-0.0341)=0.9658 that is 96.58%