You plan to invest in an account which pays 3.5% compounded continuously. If the investment period is for 10 years, then A(P) = Pe0.035.10 = Pe 0.35 gives the total balance of P dollars. a. Find a formula for A'(P). b. Find and interpret A' (6000). C. Compare the approximation to the actual change. a. A'P)= (Type an exact answer in terms of e.) b. A' (6000) = dollars increased in the total amount per yearly increase in the investment time period (Round to the nearest cent as needed.) Interpret A (6000) = 1.42 O A. The future value of a 11 year investment of $6001 will be $ more than the future value of a 11 year investment of $6000. OB. The future value of a 10 year investment of $6001 will be more than the future value of a 10 year investment of $6000. O C. The future value of a 11 year investment of $6000 will be $ more than the future value of a 11 year investment of $6000. OD. The future value of 10 year investment of $6000 at 4.5% will be more than the future value of a 10 year investment of $4000 at 3.5%. c. A(6001) - A(6000) = dollars per year. (Round to the nearest cent as needed.)