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A breeder reactor converts stable uranium- into the isotope plutonium-. The decay of this isotope is given by
where is the amount of isotope at time , in years, and is the original amount. This isotope has a halflife of years (that is, half of it will decay away in years).
(a) At what rate is decaying at years?
(b) At what rate is decaying after 1 year?
( c ) Is the rate of decay at its half-life greater or less than after year?
In the chapter, we used Rosengarten Corporation to demonstrate how to calculate EFN. The ROE for Rosengarten is about 7.3%, and the plowback ratio is about 67%. If you calculate the sustainable growth rate for Rosengarten, you will find it is only 5.14%. In our calculation for EFN, we used a growth rate of 25%. Is this possible? (Hint: Yes. How?)