A fungus doubles in size every day, and it weighs a pound after 20 days. If anot

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A fungus doubles in size every day, and it weighs a pound after 20 days. If another fungus were twice as large at the start, would it weigh a pound after 10 days? Charcoal is found in a cave. It is determined that the amount of C-14 present is 1/50 the amount when the wood was burned. How long ago was it burned? The E. coli bacteria has a volume of 6 mum^3. In optimal conditions, an E. coli bacteria will double about every 30 minutes. Under these conditions, how long will it take for a single bacterium to grow to fill a thimble with volume 1 cm^3? How long will it take for the volume to fill the entire earth 1.08 times 10^8 km^3? A tank contains 2 L of water in which is dissolved 4 g of a chemical. A solution containing 1 g/L of the chemical flows into the tank at a rate of 4 L/min. and the well-stirred mixture flows out at a rate of 3 L/min. Determine the amount and concentration of the chemical in the tank after 10 minutes. A tank contains 5 L of water in which is dissolved 10 g of salt. A solution containing 4 g/L of salt flows into the tank at a rate of 1 L/min. and the well-stirred mixture flows out at a rate of 1 L/min. Without solving the equation, determine the amount of chemical in the mixture in the long run. Determine the amount A(f) of salt in the container as a function of time Sketch A(t). How long will it take for the concentration to reach 90% of its limiting value? The logistic equation has been used to model the spread of technology. Let N* be the number of ranchers in Uruguay, and N(t) the number who have adopted a new pasture technology. The rate of adoption dN/dt is proportional to the number who have adopted the technology, and the fraction who have not (and thus are susceptible to changing). So the equation is dN/dt = alpha N (1 - N/N degree According to a study by Banks (1993), N degree = 17, 015. N(0) = 141, alpha = 0.49 per year. Determine how long it takes for the new technology to be adopted by 80% of the population of ranchers.

Explanation / Answer

1. when a fungus is double in weigh then in 5 days it would be a pound. when 20days to take 1 pound then on start it is only 22.5grams and the double weighted fungus is take only 5 days to be a pound.

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