work 10: Question 18, 2.4.9-BE HW Score: 78.31%, 17.23 of 22 Part 1 of 3 points Points: 0.43 of 1 Save If an amount P, is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 7. 1% per year, P the balance P grows at the rate given by - = 0.071P. a) Find the function that satisfies the equation. Write it in terms of P and 0.071. b) Suppose that $1000 is invested. What is the balance after 1 year? After 4 years? c) What is the rate of change of the balance after 1 year? After 4 years