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April 17, 2014

Homework Help: Calculas HS

Posted by may on Tuesday, January 27, 2009 at 11:38pm.

continous compounding you have $1000 wiht which to open an account to which you plan also to add $ 1000 per year. all funds in the account will earn 10% annual interest compounded continously. if the added deposits are also credited to your account continously, the number of dollars x in your account at time t(years) will satisfy th einitial calue problem.

differentital equation

dx/dt = 1000+0.10x

initial condition

x(0) = 1000

A) solve the initial value problem for x as a function of t

B) about how many years will it take for the amount in your account to reach $ 100,000

[I know how to plug in for part , but can anyone help me on the part A to find t]

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