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GROWING CLOUD RIDDLE

METEOROLOGIST JEFF HABY

Riddle: A cloud has an initial volume of 1 km^3. The cloud grows 4% bigger every minute than it was the previous minute. How big is the cloud in km^3 after 1 hour?






Answer to Riddle: Compounding growth formula

y = x*(1 + z)^n

y = new size
x = original size
z = percent change each internal
n = number of intervals

y = 1 km^3*(1 + 0.04)^60

y = 1*(1.04)^60 km^3

y = 10.5 km^3

The cloud grows more than 10 times the original size during the hour.