If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.8% per year, the balance P grows at the rate given dP = 0.068P. dt a) Find the function that satisfies the equation. Write it in terms of Po and 0.068. b) Suppose that $1500 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? a) P(t) = b) The balance after 1 year is $ The balance after 3 years is $ (Type integers or decimals rounded to two decimal places as needed.) c) The rate of change of the balance after 1 year is The rate of change of the balance after 3 years is (Type integers or decimals rounded to two decimal places as needed.)

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