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Given that income must equal outflow, show the steps in developing the following mathematics model for a person's wealth at any time t:

dW/dt = (1-p)(s-n+rW)

Where s = your salary

W(t) = your wealth (savings), which is a function of time

r = rate of interest on your wealth (savings)

n = amount spent on necesseties

p = proportion of your income after necesseties that you spend on luxuries

My question is how do I get this model... I have no idea and it is starting to irritate me as this is due in a couple of days.