Sarah makes $3000 contributions at the end of each half-year to a retirement account for 8 years. For the next 20 years, she makes no additional contributions and no withdrawals. If the account earns 7.5%, compounded semi-annually, find the value of the account after the 28 years. (pt. 2) If the above account is used to set up an annuity that pays her amount at the beginning of each 6-month period for the next 20 years, how much will each payment be?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 56SE: To get the best loan rates available, the Riches want to save enough money to place 20% down on a...
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Sarah makes $3000 contributions at the end of each half-year to a retirement account for 8 years. For the next 20 years, she makes no additional contributions and no withdrawals. If the account earns 7.5%, compounded semi-annually, find the value of the account after the 28 years.

(pt. 2) If the above account is used to set up an annuity that pays her amount at the beginning of each 6-month period for the next 20 years, how much will each payment be?

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