1. The income from Ming's robotics business for the next 10 years is given by the income stream f(t) = 50e²-0.2t where t is the year (t = 0 being now) and f(t) is the income in year t in thousands of dollars. The interest rate is set at 5% and is compounded continuously. (a) Compute Ming's average income over the next 10 years. [Give your final answer rounded to the nearest dollar.] (b) Compute the difference between the future value (10 years from now) and the present value (for the next 10 years) of Ming's income stream. [Give your final answer rounded to the nearest dollar.]

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 8RE: Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25...
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1. The income from Ming's robotics business for the next 10 years is given
by the income stream
f(t) = 50e²-0.2t
where t is the year (t = 0 being now) and f(t) is the income in year t in
thousands of dollars. The interest rate is set at 5% and is compounded
continuously.
(a) Compute Ming's average income over the next 10 years. [Give
your final answer rounded to the nearest dollar.]
(b) Compute the difference between the future value (10 years from
now) and the present value (for the next 10 years) of Ming's
income stream. [Give your final answer rounded to the nearest
dollar.]
Transcribed Image Text:1. The income from Ming's robotics business for the next 10 years is given by the income stream f(t) = 50e²-0.2t where t is the year (t = 0 being now) and f(t) is the income in year t in thousands of dollars. The interest rate is set at 5% and is compounded continuously. (a) Compute Ming's average income over the next 10 years. [Give your final answer rounded to the nearest dollar.] (b) Compute the difference between the future value (10 years from now) and the present value (for the next 10 years) of Ming's income stream. [Give your final answer rounded to the nearest dollar.]
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