please help me understand

1. (5 points) The function A(t) graphed below gives the balance in a savings account after t years with interest compounded continuously. The second graph shows the derivative of A(t). (Pay attention to the units on the graphs.) 350 14 250 3 = A(t) 10 y = A'(t) 150 6 50 2 10 20 30 10 20 30 (a) What is the balance after 25 years? Justify your answer with at least one sentence. (b) How fast is the balance increasing after 25 years? .Justify your answer with at least one sentence. (c) Use the differential equation corresponding to exponential growth and the previous answers to determine the interest rate. A(t) = kA'(t) (d) When is the balance $200? (e) When in the balance increasing at the rate of $14 per year? Justify your answer with at least one sentence