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The differential equation below models the balance, B, of your retirement account at time t, measured in months since January 1, 2013. dB/dt =1500+.005B with

The differential equation below models the balance, B, of your retirement account at time t, measured in months since January 1, 2013.

dB/dt =1500+.005B with initial condition B(0)=10000. According to this model, how much are you depositing into your retirement account each month? (Not including interest earned)

Answer: 1500

According to this model, what is the monthly rate of return on your investment? (Enter the percentage as a number -- if you think the rate is 6.2%, enter 6.2)

Answer:

Find the value of your retirement account on January 1, 2043. Please do not enter units.

(Do this question analytically, not with Eulers Method!)

Answer:

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