SOLUTION: A yeast manufacturer finds that the yeast will grow exponentially at a rate of 13.2% per hour. How many kilograms of yeast must the manufacturer start with to obtain 500 kg at the
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Question 1069355: A yeast manufacturer finds that the yeast will grow exponentially at a rate of 13.2% per hour. How many kilograms of yeast must the manufacturer start with to obtain 500 kg at the end of 8 h?
Round to the nearest kg. Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! If the yeast grows exponentially at the rate of 13.2% per hour, then the amount of yeast y present at the end of h hours is given by:
y=1.132^h
So, to get 500 kg yeast at the end of 8 hours, we must start with:
500=y * 1.132^8
500/1.132^8=y
y=185.4379 kgs of yeast to begin with. ☺☺☺☺
