(A) A man deposits $ 2 , 000 in an IRA on his 21 st birthday and on each subsequent birthday up to, and including, his 29 th (nine deposits in all). The account earns 8 % compounded annually. If he leaves the money in the account without making any more deposits, how much will he have on his 65 th birthday, assuming the account continues to earn the same rate of interest? (B) How much would be in the account (to the nearest dollar) on his 65 th birthday if he had started the deposits on his 30 th birthday and continued making deposits on each birthday until (and including) his 65 th birthday?
(A) A man deposits $ 2 , 000 in an IRA on his 21 st birthday and on each subsequent birthday up to, and including, his 29 th (nine deposits in all). The account earns 8 % compounded annually. If he leaves the money in the account without making any more deposits, how much will he have on his 65 th birthday, assuming the account continues to earn the same rate of interest? (B) How much would be in the account (to the nearest dollar) on his 65 th birthday if he had started the deposits on his 30 th birthday and continued making deposits on each birthday until (and including) his 65 th birthday?
Solution Summary: The author calculates the amount in the account of a man on his 65th birthday.
(A) A man deposits
$
2
,
000
in an IRA on his
21
st
birthday and on each subsequent birthday up to, and including, his
29
th
(nine deposits in all). The account earns
8
%
compounded annually. If he leaves the money in the account without making any more deposits, how much will he have on his
65
th
birthday, assuming the account continues to earn the same rate of interest?
(B) How much would be in the account (to the nearest dollar) on his
65
th
birthday if he had started the deposits on his
30
th
birthday and continued making deposits on each birthday until (and including) his
65
th
birthday?
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