German TV and radio users pay an annual license fee of 200 euros. In 2008, the German poet Friedrich Schiller, who died in 1805, was sent reminders to pay his license fee.1 (The reminders were sent to an elementary school named after Schiller, despite a teacher pointing out that "the addressee is no longer in a position to listen to the radio or watch television".) Assume the license fee had been charged at a continuous rate of 200 euros per year since 1805 and that the continuous interest rate was 2% per year over this period. If Schiller were charged the license fee, with interest, since his death, how much would he have owed by 2008?

German TV and radio users pay an annual license fee of 200 euros. In 2008, the German poet Friedrich Schiller, who died in 1805, was sent reminders to pay his license fee.1 (The reminders were sent to an elementary school named after Schiller, despite a teacher pointing out that "the addressee is no longer in a position to listen to the radio or watch television".) Assume the license fee had been charged at a continuous rate of 200 euros per year since 1805 and that the continuous interest rate was 2% per year over this period. If Schiller were charged the license fee, with interest, since his death, how much would he have owed by 2008?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter12: Sequences, Series And Binomial Theorem

Section12.3: Geometric Sequences And Series

Problem 12.57TI: What is the total effect on the economy of a government tax rebate of $1,000 to each household in...

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

German TV and radio users pay an annual license fee of 200 euros. In 2008, the German poet Friedrich Schiller, who died in 1805,
was sent reminders to pay his license fee.1 (The reminders were sent to an elementary school named after Schiller, despite a teacher
pointing out that "the addressee is no longer in a position to listen to the radio or watch television".) Assume the license fee had been
charged at a continuous rate of 200 euros per year since 1805 and that the continuous interest rate was 2% per year over this
period. If Schiller were charged the license fee, with interest, since his death, how much would he have owed by 2008?
Round your answer to two decimal places.
Schiller would have owed
i
euros.

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