SOLUTION: please help and show all work. Haven't been in school for over 30years. So this is really hard for me to do. I have tried but still can not figure this out. The number of bact

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: please help and show all work. Haven't been in school for over 30years. So this is really hard for me to do. I have tried but still can not figure this out. The number of bact      Log On


   

Question 1024731: please help and show all work. Haven't been in school for over 30years. So this is really hard for me to do. I have tried but still can not figure this out.

The number of bacteria in a culture is given by the function
n(t)=955e0.25t
where t is measured in hours.
(a) What is the relative rate of growth of this bacterium population?
Your answer is percent
(b) What is the initial population of the culture (at t=0)?
Your answer is
(c) How many bacteria will the culture contain at time t=5?
Your answer is
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The reliable way to express the function is n%28t%29=955e%5E%280.25t%29..

The question is at the intermediate algebra level, and reviewing introductory algebra thoroughly would be worthwhile first.

You can literally read certain information from your function as it is written.

(b)
Initial population is 955.

(c)
Let t be 5 for that number of hours, and evaluate n(t) or n(5). You would use a "calculator" to do this these days.
n%285%29=955e%5E%280.25%2A5%29
955%2Ae%5E%281.25%29
955%2A3.4903
3333.27
-
Better to report this as highlight%283.33%5E10%5E3%29.


(a)
The growth rate is 25%.

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an online calculator was used at http://web2.0calc.com/