Marie knows that she will need to replace her office equipment some day. She deposits $900 into a savings account paying 2% interest compounded annually. At the end of each year she deposits $250 into the account. Let xt be the amount in the account after t years. (a) Find the difference equation satisfied by xt . (b) Solve the difference equation. (c) How much money will Marie have in the account after 5 years? (Round your answer to two decimal places.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 63SE: You inherit one million dollars. You invest it all in three accounts for one year. The first account...
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Marie knows that she will need to replace her office equipment some day. She deposits $900 into a savings account paying 2% interest compounded annually. At the end of each year she deposits $250 into the account. Let xt be the amount in the account after t years. (a) Find the difference equation satisfied by xt . (b) Solve the difference equation. (c) How much money will Marie have in the account after 5 years? (Round your answer to two decimal places.) Please do fast ASAP fast
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