# Math 1130 Exam 2 review (AU 17)

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Published on 31 Jan 2019
School
Ohio State University
Department
Mathematics
Course
MATH 1130
Professor
Math1130Exam2Review
Provideanappropriateresponse.
1) Writethefollowingintermsoflnx,ln(x-3),andln(x+1):ln x3(x-3)(x+1)21)
2) Writethefollowingintermsoflnx,ln(x-3),andln(x+1):ln x(x-3)2
x+12)
3) Findtheinverseofthefunction:f(x)=(x-3)2,forx33)
4) Findx:log636=x4)
5) Findx:logx16=4 5)
6) Findx:logx(4x-3)=26)
8) Themagnitude(RichterScale)ofanearthquakeisgivenbyR=log I
I0
whereIisthe
intensityoftheearthquakeandI0istheintensityofazero-levelreferenceearthquake.I
I0
representshowmanytimesgreatertheearthquakeisthanthereferenceearthquake.Find
themagnitudeofanearthquakethatis200timestheintensityofazero -levelearthquake.
8)
9) Assumethatlog5=0.6690.Determinethevalueoflog35.9)
10) Iflnx+ln2=ln5,thenx=
A) 2
5.B)
1
3.C)3. D)5.E)
5
2.
10)
11) Iflog4(x+6)=2-log4x
,
thenx=
A) -4. B) 8. C) 10. D) 2. E) 4.
11)
12) Solveforx:e2ln(2x)=4 12)
13) Writelog2(x+4)intermsofcommonlogarithms. 13)
14) Solveforx:log(x+1)-log(x-2)=1 14)
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15) Solveforx:log2(x-4)+log23=log2x15)
16) Solveforx:4x+1=83x16)
17) Solveforx:(2+x)5=129.3 17)
18) Findtheeffectiveratethatcorrespondstoaninterestrateof5%compoundeddaily. 18)
19) Overaperiodof3years,anoriginalprincipalof\$1000accumulatedto\$1200inanaccount
wheretheinterestratewascompoundedmonthly.Determinetherateofinteresttotwo
decimalplaces.
19)
20) Aninitialinvestmentof\$2600growsatanannualrateof7.5%compoundedmonthly.
Findhowlongittakesfortheinvestmenttoamountto\$3500.
20)
21) Aninvestmentisgrowingataneffectiverateof12.4%.Iftheamountinvestediscurrently
\$12,000,whatwilltheamountbein6years?
21)
secondpaymentattheendoftwoyears.Howmuchshouldthesecondpaymentbeifthe
interestrateis5%compoundedannually?
22)
23) Foraninitialinvestmentof\$10,000,supposeacompanyguaranteesthefollowingcashflo
w
theendoftheindicatedyears:
Year CashFlow
1 \$4000
3 \$8000
Assumeaninterestrateof5%compoundedannually.(a)Determinethenetpresentvalue
o
thecashflows.(b)Istheinvestmentprofitable?
23)
24) Findthepresentvalueof\$3000dueafterfiveyearsiftheinterestrateis9.6%compounded
semiannually.
24)
payments:\$3000now,\$2000in3years,\$2000in6years,andafinalpaymentattheendof
8years.Whatwouldthispaymentbeifaninterestrateof5.5%compoundedsemiannually
isassumed?
25)
flows:\$6000attheendof2years,\$5000attheendof4years,and\$4000attheendof6
years.Assuminganinterestrateof6%compoundedmonthly,findthepresentvalueofthe
cashflows.Istheinvestmentprofitable?
26)
27) If\$200isdepositedintoasavingsaccountthatearnsinterestatanannualrateof8%
compoundedcontinuously,findthevalueoftheaccountattheendoftwoyears.
27)
28) Determinetheeffectiverateequivalenttoanannualrateof10%compounded
continuously.
28)
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