If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.2% per year, the balance P grows at the rate given by dP = 0.062P dt a) Find the function that satisfies the equation. Write it in terms of Po and 0.062. b) Suppose that $500 is invested. What is the balance after 1 year? After 3 years? c) What is the rate of change of the balance after 1 year? After 3 years?

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A: The solution is given below in the next step:

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