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LQ2LN01SOLNYF11 - Lab Section 01 SOLUTIONS YELLOW...

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PLEASE TURN OVER Lab Section 01 MATHEMATICS MATH*1080 Lab Quiz #2 Y SOLUTIONS YELLOW NO CALCULATORS ALLOWED Surname: ______________________________ Initials:________ Lab Section #:______ (PRINT) Student #: Class Section #: ______ 1. Each year a bank deducts $40 as service charges on each deposit account, and then pays 10% interest on the remaining money. Let denote the amount of money in a specific account at the end of year n. \ 8 (a) Write a difference equation satisfied by the sequence { }. \ 8 Solution \ œ \  %!  !Þ"Ð\  %!Ñ Ê \ œ \  %!  !Þ"\  % 8 8 8 8 8 8 +1 +1 2 Ê \ œ "Þ"\  %% 8 8 +1 Answer (a) \ œ "Þ"\  %% 8 8 +1 4 (b) Write an expression giving the balance of the account at the end of year if the initial deposit is 8 \ ! $9,000. Solution where , and \ œ \ + + œ "Þ"ß , œ  %% , , "  + "  + 8 ! 8 Œ \ œ *!!! ! 2 \ œ *!!!  Ð"Þ"Ñ Ê \ œ %%!  )&'!Ð"Þ"Ñ Ð%%Ñ Ð%%Ñ "  "Þ" "  "Þ" 8 8 8 8 Œ Answer (b) \ œ %%!  )&'!Ð"Þ"Ñ 8 8 2. Deternine the strictly positive equilibriums for the difference equation 2 = ( ) ( 8 ) are 1 \ \ "  \ 8" $# 8 8 2 SOLUTION = ( ) ( = ( ) ( 1 1 \ \ ")  \ Ñ Ê \ \ ")  \ Ñ 8" $# $# 8 8 I I I # # 1 = ( ) ( ) Ê $#\ ") \  Ð\ Ñ Ê Ð\ Ñ  ") \  $#\ œ !
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