four employer count earns 4% interest. Suppose you just got the job, your starting salary is $55000, and you expect to 27 receive a 5% raise each year, Additionally, you decide to deposit a fixed amount of $4000 each year to play ly puts 10 percent of your salary into a 401(k) retirement account each year. The it conservatively. S4) = 0.055 S(0) = S0000 こ For simplicity, assume that interest earned, your raises, and your annual deposit all occur continuously. A) Let R(t) denote the dollar value of your retirement account in years. Write the differential equation modeling your account: dR 0.04R + %3D dt B) Solve the differential equation to find R(t). Hint: make use of the Extended Linearity Principle. R(t) = C) Find the value of your retirement account after 35 years. Round answer to 2 decimal places. Value = $

four employer count earns 4% interest. Suppose you just got the job, your starting salary is $55000, and you expect to 27 receive a 5% raise each year, Additionally, you decide to deposit a fixed amount of $4000 each year to play ly puts 10 percent of your salary into a 401(k) retirement account each year. The it conservatively. S4) = 0.055 S(0) = S0000 こ For simplicity, assume that interest earned, your raises, and your annual deposit all occur continuously. A) Let R(t) denote the dollar value of your retirement account in years. Write the differential equation modeling your account: dR 0.04R + %3D dt B) Solve the differential equation to find R(t). Hint: make use of the Extended Linearity Principle. R(t) = C) Find the value of your retirement account after 35 years. Round answer to 2 decimal places. Value = $

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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