pays 3.2% simple interest max. insured: $250,000 max ... · adults 600 –c $9 9(600 –c) ... boy...
TRANSCRIPT
#9
Pays4%simpleinterestMax.insured:$250,000
Pays3.2%simpleinterestMax.insured:$500,000
SimpleInterestI = Prt
A B
PAmountInvested
r%Interest
I =Prtt =1year
BANKA(max.$250,000)
x 4%=0.04 x(0.04)
BANKB(max.$500,000)
500,000 – x 3.2%=0.032 (500,000 – x)(0.032)
InterestearnedinBankA+InterestearnedinBankB=Totalinterestearned
0.04x+(0.032)(500,000– x)=18,500
Number Price perticket TotalSales
Adults 600 – c $9 9(600 – c)
Children c $6 6c
Totalticketsalesofadults+totalticketsalesofchildren=totalsales
9(600– c)+6c =4800
#13
original-adult’sdrinksolutionhas30%glucose
wateraddedtosolution-toreduce%ofglucose-waterhas0%glucose
newsolution-child’sdrink7ounceshas20%glucose
Amount(ounces)
%Glucose TotalGlucose
Adult’sDrink 7– x 30%=0.30 (7– x)(0.30)
Water x 0%=0 0
Child’sDrink 7 20%=0.20 7(0.20)
Totalglucoseinadult’sdrink+glucoseinwater=totalglucoseinchild’sdrink
(7– x)(0.30)+0=7(0.20)
Amount(grams) %copper TotalCopper
BritishSterling 200 – x 7.5%=0.075 (200 – x)(0.075)
PureCopper x 100%=1 x(1)
NewAlloy 200 10%=0.10 200(0.10)
CopperinBritishSterling+purecopper=copperinnewalloy
(0.075)(200– x)+x =(0.10)(200)
#18
Runningatarateof6mphStarts5minuteslaterRunningatarateof8mph
Ratex Time=Distance(samedistanceforbothrunners)
r=rate t=time d=distance
First Runner 6mph t + 6(t +)
SecondRunner 8mph t 8t
Sincetheyranthesamedistance:Distanceofthefirstrunner=distanceofthesecondrunner
6(t +)=8t