An investor is presented with a choice of two investments: an established clothing store and a new book store. Each choice requires the same initial investment and each produces a continuous income stream of 6%, compounded continuously. The rate of flow of income from the clothing store is f(t) = 18,000, and the rate of flow of income from the book store is expected to be g(t) = 16,000 e 0.03t Compare the future values of these investments to determine which is the better choice over the next 2 years. ...... The future value of the clothing store is $. (Round to the nearest dollar as needed.)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 442RE: Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26....
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An investor is presented with a choice of two investments: an established clothing store and a new book store. Each choice requires the
same initial investment and each produces a continuous income stream of 6%, compounded continuously. The rate of flow of income from
the clothing store is f(t) = 18,000, and the rate of flow of income from the book store is expected to be g(t) = 16,000 e 0.03t. Compare the
future values of these investments to determine which is the better choice over the next 2 years.
.....
The future value of the clothing store is $
(Round to the nearest dollar as needed.)
Transcribed Image Text:An investor is presented with a choice of two investments: an established clothing store and a new book store. Each choice requires the same initial investment and each produces a continuous income stream of 6%, compounded continuously. The rate of flow of income from the clothing store is f(t) = 18,000, and the rate of flow of income from the book store is expected to be g(t) = 16,000 e 0.03t. Compare the future values of these investments to determine which is the better choice over the next 2 years. ..... The future value of the clothing store is $ (Round to the nearest dollar as needed.)
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