end of year review | homework (day 2) real numbers and...
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Name________________________________________________Date___________________Class_________EndofYearReview|Homework(Day2)RealNumbersandExponentialFunctionsSimplifyeachexpression.Writewithpositiveexponents.Showallwork.1. 9𝑡!𝑛! −2𝑡𝑛! 2. 𝑤!𝑦! !3.!"!
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!!!! ! Evaluateeachproductorquotient.Expresstheresultsinbothscientificnotationandstandardform.5. 2.8 × 10!! 7.7 × 10! 6. !.! × !"!
!.! × !"!!
7.Writeanexplicitequationforthenthtermofthegivensequence:−3, 9,−27,…8.Writearecursiveequationforthenthtermofthegivensequence:18, 29, 40, 51,…
Name________________________________________________Date___________________Class_________EndofYearReview|Homework(Day2)RealNumbersandExponentialFunctions9.Determinetheamountofaninvestmentif$700isinvestedataninterestrateof8%
compoundedmonthlyfor9years.10.Anewweldingmachinevaluedat$38,000depreciatesatasteadyrateof9%peryear.Whatis
thevalueoftheweldingmachinein10years?11.Findthefirstthreetermsofthesequence:𝑎! = 3, 𝑎! = 2 𝑎! ! ! + 4, n ≥ 2 Betweenwhichtwointegersarethefollowingnumberslocated?(Forexample, 5isbetweenintegers2and3.)12. 813.− 28Classifyeachnumberasrationalorirrational.Explainyourreasoning.14.1015.𝜋16. 717.−7.47518.0.12112111211112…19. 14420.8.6755555555…21.!
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Name________________________________________________Date___________________Class_________EndofYearReview|Homework(Day2)RealNumbersandExponentialFunctions22.Graphtheexponentialfunction.Statethey-intercept,thedomain,andtherange. 𝑦 = −2 3! + 5y-intercept:______________________domain:__________________________range:____________________________23.Writeanequationforthegivenfunction.Statethey-intercept,thedomain,andtherange.
y-intercept:________________________domain:____________________________range:______________________________equation:___________________________