14 ​years? ​(c) How much would she lose or gain over 14 years by investing in her​ sister's firm? ​(a) The​ woman's deposits form an ordinary annuity because the deposits are made at the end of each period.​ Therefore, the formula FV equals PMT left bracket StartFraction left parenthesis 1 plus i right parenthesis Superscript n Baseline minus 1 Over i EndFraction right bracketFV=PMT(1+i)n−1i should be used. The value in the account at the end of the 14 years will be ​$nothing. ​(Do not round until the

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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A woman deposits ​$13,000 at the end of each year for 14 years in an investment account with a guaranteed interest rate of
4​% compounded annually. (a) Find the value in the account at the end of the 14 years. ​(b) Her sister works for an investment firm that pays 3​% compounded annually. If the woman deposits money with this firm instead of the one in part​ (a), how much will she have in her account at the end of 14 ​years? ​(c) How much would she lose or gain over 14 years by investing in her​ sister's firm? ​(a) The​ woman's deposits form an ordinary annuity because the deposits are made at the end of each period.​ Therefore, the formula FV equals PMT left bracket StartFraction left parenthesis 1 plus i right parenthesis Superscript n Baseline minus 1 Over i EndFraction right bracketFV=PMT(1+i)n−1i
should be used. The value in the account at the end of the 14 years will be ​$nothing.
​(Do not round until the final answer. Then round to the nearest cent as​ needed.)
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