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LQ2LN03SOLNYF11

# LQ2LN03SOLNYF11 - Lab Section 03 SOLUTIONS YELLOW...

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PLEASE TURN OVER Lab Section 03 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 \$30 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 2 \ œ \  \$!  !Þ"Ð\  \$!Ñ Ê \ œ \  \$!  !Þ"\  \$ 8 8 8 8 8 8 +1 +1 Ê \ œ "Þ"\  \$\$ 8 8 +1 4 Answer (a) \ œ "Þ"\  \$\$ 8 8 +1 (b) Write an expression giving the balance of the account at the end of year if the initial deposit is 8 \ ! \$5,000. 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 = ( ) ( 3 ) are 1 6 \ \ "  \ 8" \$ 8 8 2 SOLUTION = ( ) ( = ( ) ( 1 1 \ \ "\$  \ Ñ Ê \ \ "\$  \ Ñ 8" \$' \$' 8 8 I I I # # 1 = ( ) ( ) Ê \$'\ "\$ \  Ð\ Ñ Ê Ð\ Ñ  "\$ \

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