A person deposits money into an account at a continuous rate of $6000 a year, and the

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A person deposits money into an account at a continuous rate of $6000 a year, and the account earns interest at a continuous rate of 7% per year.
(a) Write a differential equation for the balance in the account, B, in dollars, as a function of years, t.
(b) Use the differential equation to calculate dB∕dt if B = 10,000 and if B = 100,000. Interpret your answers.

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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