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into the country's banks. The govemmeat decides to introduce new currency by havirg the banks replace old bills with new ones whenever the old currency

into the country's banks. The govemmeat decides to introduce new currency by havirg the banks replace old bills with new ones whenever the old currency comes into the banks. Let x=x(t) desote the amoent of new currency in circulation at time t, with x(0)=0.
If a unit of x is $1 billion and a unit of f is I day, then the equation
dxdt=0.005(10-x)
represents the "flow" of the new currency into circulation.
What is the sign of dxdt? Explain.
Make a rough sketch of a possible solution x(t).
Show that the functioe x(t)=10(1-e-8006) satisties Equation (1).
What in hasair)? Explan.
into the country's banks. The govemmeat decides

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