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MATH 1080 (11)
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Department
Mathematics
Course
MATH 1080
Professor
Joe Cunsolo
Semester
Fall

Description
Lab Section 01 SOLUTIONS YELLOW MATHEMATICS MATH*1080 Lab Quiz #2 Y 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. L8t \ denote the amount of money in a specific account at the end of year n. (a) Write a difference equation satisfied by8the sequence {\ }. Solution \8+1œ \  %!8 !Þ"Ð\  8!8 Ê 8 \ +1œ \  %!  !Þ"\  % 2 Ê\ 8+18Þ"\ %% Answer (a) \ 8+18 "Þ"\  %% 4 (b) Write an expression giving the balance of the account athe initial de!oist if\ $9,000. , , Solution \8œ!  Œ   +8 where + œ "Þ"ß , œ  %%, and!\ œ *!!! "+ "+ Ð%%Ñ Ð%%Ñ \8œ 8  Œ !!!  Ð"Þ"Ñ Ê \ œ %%!  )&'!Ð"Þ"Ñ 2 ""Þ" ""Þ" Answer (b) 8 \ 8 %%!  )&'!Ð"Þ"Ñ 2. Deternine the strictly positive equilibriums for the difference equation 1 2 2 e r()( \  \8" $# 8 8 1 1 # # SOLUTION \8" = $#(\8 8(")  \ Ñ Ê \ I I $#(I ) (")  \ Ñ # # 1 () = Ê $#\() ") \  Ð\ Ñ $ Ê Ð\ Ñ  ") \  $#\ œ ! I I I I I I () \ Ð Ð\ Ñ  ") \  $#Ñ œ ! Ê \ Ð \  #ÑÐ \  "'Ñ œ ! II I II I Ê\ # \'" and (strilp#osiv) Answer and 1 I I I I ?\ 8 $. The following is the graph " 88 888 œ0Ñ\ 2 (a) From the graph, determine the equilibrium valf \8" 8 . (a) Answer: 1 !ß )ß and #! (b) If 'œ , determine the va\ue.of 5 7 (b)nswer: X6=5 X6= -.5 X=6 \œ&$ 1 5 7 \ 8 \\8" 8 ? 8 \' & &œ œ& X5= - \( '\' ?\ œ &  "Þ& œ $Þ& PLEASE TURN OVER YELLOW SOLUTIONS LQ2-01-Y % %. A $ drug is administered evehours in doses ofm g. The drug is neutralized at an exponential rate with
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