SOLUTION: Bacteria are growing in a culture, and their number is increasing at the rate of 5 % an hour . Initially , 400 bacteria are present. (a) Determine an equation that gives the n

Algebra ->  Finance -> SOLUTION: Bacteria are growing in a culture, and their number is increasing at the rate of 5 % an hour . Initially , 400 bacteria are present. (a) Determine an equation that gives the n      Log On


   



Question 1126434: Bacteria are growing in a culture, and their number is increasing at the rate of 5 % an hour . Initially , 400 bacteria are present.

(a) Determine an equation that gives the numbet, N of bacteria present after t hours?
(b) How many bacteria are present after one hour and After four hour?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
a)  The equation is  N = N(t) = 400%2A%281%2B0.05%29%5Et = 400%2A1.05%5Et,

    where t is the time in hours from the starting moment.




b)  . . . after one hour ?

    To answer this question, substitute t= 1 into the formula and calculate.



    . . . after four hours ?

    To answer this question, substitute t= 4 into the formula and calculate.

You may use your calculator.

Happy calculations !