14) let a : let f: a y be continuous; let y be hausdorf. show that if y, then g is uniquely deter- may be extended to a continuous function g: a mined byf.

Taber invested money in an account where interest is compounded every year. he made no withdrawals or deposits. the function a(t)=525(1+0.05)^t represent the amount of money in the account after t years. how much money did taber origanally invested?