Competing investments: You initially invest $500 with a financial institution that offers an APR of 4.5%, with interest compounded continuously. LetB be your account balance, in dollars, as a function...

Competing investments: You initially invest $500 with a financial institution that offers an APR of 4.5%, with interest compounded continuously. LetB be your account balance, in dollars, as a function of the time t, in years, since you opened the account.

a. Write an equation of change for B.

b. Find a formula for B.

c. If you had invested your money with a competing financial institution, the equation of change for your balance M would have been dM dt = 0.04M.If this competing institution compounded interest continuously, whatAPR would they offer?