A woman deposits $ at the end of each year for years in an investment account with a guaranteed interest rate of % compounded annually. (a) Find the value in the account at the end of the years. (b) Her sister works for an investment firm that pays % compounded annually. If the woman deposits money with this firm instead of the one in part (a), how much will she have in her account at the end of years? (c) How much would she lose or gain over years by investing in her sister's firm? Question content area bottom Part 1 (a) The woman's deposits form an (ordinary annuity) or (annuity due) - choose correct answer for each parenthesis because the deposits are made at the (beginning) or (end) of each period. Therefore, the formula FV equals PMT (cant type of equation correctly, need help deciding which is the correct equation - thank you) left bracket StartFraction left parenthesis 1 plus i right parenthesis Superscript n plus 1 Baseline minus 1 Over i EndFraction right bracket minus PMT FV equals PMT left bracket StartFraction left parenthesis 1 plus i right parenthesis Superscript n Baseline minus 1 Over i EndFraction right bracket should be used.

Part 2 The value in the account at the end of the years will be $(enter your response here). (Do not round until the final answer. Then round to the nearest cent as needed.) Part 3 (b) She will have a total of $ enter your response here in her account at her sister's firm at the end of years. (Do not round until the final answer. Then round to the nearest cent as needed.) Part 4 (c) She would (lose) or (gain) enter your response here over years by investing in her sister's firm. (Do not round until the final answer. Then round to the nearest cent as needed.)