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How many Graks were there after 2 \frac{1}{2} years?

Calculus
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On the planet Maximillian live Sprogs and Graks. Initially there were 2400 sprogs and 300 Graks. The population of Sprogs doubles every 10 years and that of Graks doubles every 5 years. 

Dec 1st, 2014

graks = 300

after 5 years = 600

300(1+g)^5 =600

(1+g) = (600/300)^(1/5) = 2^0.2 = 1.148698

no of graks after 2.5 years = 300*(1+g)^2.5 = 300*(1.148698)^2.5 =424.2641=424

Answer : 424 graks

Dec 1st, 2014

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