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A certain motorcycle manufacturer has been building motorcycles for 97 years. Over that period, production has...

A certain motorcycle manufacturer has been building motorcycles for 97 years. Over that period, production has increased steadily at an annual rate of 5%, so that the production rate, in motorcycles/year, after t years was

r(t)=A⋅1.05^t

where A is a constant representing the initial production rate. What fraction of their total production was built during the last 6 years? Your answer should be a number between 0 and 1.

Math   Calculus   
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Hope explanation is fine.

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