A better investment: You open an account by investing $250 with a financial institution that advertises an APR of 5.75%, with continuous compounding. a. Find an exponential formula for the balance in...

A better investment: You open an account by investing $250 with a financial institution that advertises an APR of 5.75%, with continuous compounding.

a. Find an exponential formula for the balance in your account as a function of time. In your answer, give both the standard form and the alternative form for an exponential function.

b. What account balance would you expect 5 years after your initial investment? Answer this question using both of the forms you found in part a. Which do you think gives a more accurate answer? Why?