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. Letx, be the amount in the account after t years. (a) Find the difference equation satisfied by x,. (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.)
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. Letx, be the amount in the account after t years. (a) Find the difference equation satisfied by x,. (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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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. Letx, be the amount in the account after t years.
(a) Find the difference equation satisfied by x, .
(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.)
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