The equation A(1) = 8000 0.0451 gives the balance after t years of an initial investment of 8000 dollars which pays 4.50% compounded continuously. dA a. Find a formula for dt b. Find and interpret A'(8). Include appropriate units. c. Compare the approximation of $516 to the actual change. Report your answer to two decimal places. dA 360e 0.0451 dt b. A'(8) = 516 dollars increased in the total amount per yearly increase in the investment time period (Round up to the nearest dollar.) Interpret A'(8) = 516 O A. The future value of an 8 year investment of $8000 at 5.50% will be $ more than the future value of an 8 year investment of $8000 at 4.50% O B. The future value of an 8 year investment of $8001 will be $ more than the future value of an 8 year investment of $8000. O C. The future value of a 9 year investment of $8001 will be $ more than the future value of an 8 year investment of $8000. D. The future value of a 9 year investment of $8000 will be $ 516 more than the future value of an 8 year investment of $8000. c. A(9) - A(8) = dollars per year. (Round to two decimal places as needed.)