The equation A(t) = 6000e0.06t gives the balance after t years of an initial investment of 6000 dollars which pays 6.00% compounded continuously. dA a. Find a formula for dt b. Find and interpret A'(5). Include appropriate units. c. Compare the approximation of $486 to the actual change. Report your answer to two decimal places. dA a. dt b. A' (5) = (Round up to the nearest dollar.) Interpret A'(5) = 486 O A. The future value of a 6 year investment of $6000 will be $ more than the future value of a 5 year investment of $6000. O B. The future value of a 5 year investment of $6001 will be $ more than the future value of a 5 year investment of $6000. O C. The future value of a 5 year investment of $6000 at 7.00% will be $ more than the future value of a 5 year investment of $6000 at 6.00% O D. The future value of a 6 year investment of $6001 will be $ more than the future value of a 5 year investment of $6000