Dev Question 1 pt 2

• 1. Question # 1 Part 2

2. Serenanowhas2gownsbutaftergettingherdressdoneshegetshooked togowns.Shekeepsonbuyingandbuyinggowns.Sheboughtsomany gownsthatherclosetexponentiallygrowsatarateof8.4% (a)Howmanydifferentgownswillshehaveafter20days? (b)Howlongwillittakehertocollect90differentgowns? 3. Serenanowhas2gownsbutaftergettingherdressdoneshegetshooked togowns.Shekeepsonbuyingandbuyinggowns.Sheboughtsomany gownsthatherclosetexponentiallygrowsatarateof8.4% (a)Howmanydifferentgownswillshehaveafter20days? (b)Howlongwillittakehertocollect90differentgowns? Whatformulacanweuse?Herclosetisexponentiallygrowingcontinuously,with thatgivenwecanusethecontinualcompoundinterestequation. 4. Serenanowhas2gownsbutaftergettingherdressdoneshegets hookedtogowns.Shekeepsonbuyingandbuyinggowns.Shebought somanygownsthatherclosetexponentiallygrowsatarateof8.4% (a)Howmanydifferentgownswillshehaveafter20days? (b)Howlongwillittakehertocollect90differentgowns? Whatformulacanweuse?Herclosetisexponentiallygrowingcontinuously,with thatgivenwecanusethecontinualcompoundinterestequation. rt A=Pe Where: Aistheamountaftertime(t)Pistheprinciplevalue(initialamount)risratetistimeeisjustairrationalnumberwhosevalueis2.71828182845... 5. Serenanowhas2gownsbutaftergettingherdressdoneshegetshooked togowns.Shekeepsonbuyingandbuyinggowns.Sheboughtsomany gownsthatherclosetexponentiallygrowsatarateof8.4% (a)Howmanydifferentgownswillshehaveafter20days? rtA=Pe Wearegiventheprinciple,rateandtime.SowearesolvingforA. 6. Serenanowhas2gownsbutaftergettingherdressdoneshegetshooked togowns.Shekeepsonbuyingandbuyinggowns.Sheboughtsomany gownsthatherclosetexponentiallygrowsatarateof8.4% (a)Howmanydifferentgownswillshehaveafter20days? rtA=Pe Wearegiventheprinciple,rateandtime.SowearesolvingforA.A=? PlugeverythingyouhaveintotheequationandsolveofAP=2r=8.4%=0.084t=20days 7. Serenanowhas2gownsbutaftergettingherdressdoneshegetshooked togowns.Shekeepsonbuyingandbuyinggowns.Sheboughtsomany gownsthatherclosetexponentiallygrowsatarateof8.4% (a)Howmanydifferentgownswillshehaveafter20days? rtA=Pe Wearegiventheprinciple,rateandtime.SowearesolvingforA.A=? PlugeverythingyouhaveintotheequationandsolveofAP=2(0.084)(20)A=2er=8.4%=0.084t=20days 8. Serenanowhas2gownsbutaftergettingherdressdoneshegetshooked togowns.Shekeepsonbuyingandbuyinggowns.Sheboughtsomany gownsthatherclosetexponentiallygrowsatarateof8.4% (a)Howmanydifferentgownswillshehaveafter20days? rtA=Pe Wearegiventheprinciple,rateandtime.SowearesolvingforA.A=? PlugeverythingyouhaveintotheequationandsolveofAP=2(0.084)(20)A=2er=8.4%=0.084t=20daysEnteritintoyoucalculatorand... A=10.73 9. Serenanowhas2gownsbutaftergettingherdressdoneshegetshooked togowns.Shekeepsonbuyingandbuyinggowns.Sheboughtsomany gownsthatherclosetexponentiallygrowsatarateof8.4% (a)Howmanydifferentgownswillshehaveafter20days? rtA=Pe Wearegiventheprinciple,rateandtime.SowearesolvingforA.A=?PlugeverythingyouhaveintotheequationandsolveofAP=2 (0.084)(20)A=2er=8.4%=0.084t=20days Enteritintoyoucalculatorand... A=10.73 After20daysshewillhave11gowns. Werounditupsinceshecan'thave.73ofagown. 10. (b)Howlongwillittakehertocollect90differentgowns? Wearestillusingthecontinualcompoundinterestformula.Sinceherwardrobeisstillcompounding continuouslybutthistimewearegivenAandaresolvingfortime(t)rtA=Pe A=90 P=2 r=8.4%=0.084 t=? 11. (b)Howlongwillittakehertocollect90differentgowns? Wearestillusingthecontinualcompoundinterestformula.Sinceherwardrobeisstillcompounding continuouslybutthistimewearegivenAandaresolvingfortime(t)rt (0.084)(t)A=Pe 90=2e Howdowebringthetdown?hmmmm.... A=90 P=2 r=8.4%=0.084 t=? 12. (b)Howlongwillittakehertocollect90differentgowns? Wearestillusingthecontinualcompoundinterestformula.Sinceherwardrobeisstillcompounding continuouslybutthistimewearegivenAandaresolvingfortime(t)rt (0.084)(t)A=Pe 90=2e Howdowebringthetdown?hmmmm.... A=90 Divideoutthe2onboth (0.084)(t) sideoftheequationto P=2 90=2e makeitnicerandeasier r=8.4%=0.084 2 2toworkwith.t=? 13. (b)Howlongwillittakehertocollect90differentgowns? Wearestillusingthecontinualcompoundinterestformula.Sinceherwardrobeisstillcompounding continuouslybutthistimewearegivenAandaresolvingfortime(t)rt (0.084)(t)A=Pe 90=2e Howdowebringthetdown?hmmmm.... A=90 Divideoutthe2onboth (0.084)(t) sideoftheequationto P=2 90=2e makeitnicerandeasier r=8.4%=0.084 2 2toworkwith. t=?Letstakethenaturallogarithmoftheequation. ln45= 0.084)(t) lne(lne=1 14. (b)Howlongwillittakehertocollect90differentgowns? Wearestillusingthecontinualcompoundinterestformula.Sinceherwardrobeisstillcompounding continuouslybutthistimewearegivenAandaresolvingfortime(t)rt(0.084)(t)A=Pe 90=2e Howdowebringthetdown?hmmmm.... A=90 Divideoutthe2onboth (0.084)(t) sideoftheequationto P=2 90=2e makeitnicerandeasier r=8.4%=0.084 2 2toworkwith. t=?Letstakethenaturallogarithmoftheequation. ln45= 0.084)(t) lne(lne=1ln45=(0.084)(t)(1)Solvefort ln45=t 0.084 15. (b)Howlongwillittakehertocollect90differentgowns? Wearestillusingthecontinualcompoundinterestformula.Sinceherwardrobeisstillcompounding continuouslybutthistimewearegivenAandaresolvingfortime(t)rt(0.084)(t)A=Pe 90=2e Howdowebringthetdown?hmmmm.... A=90 Divideoutthe2onboth (0.084)(t) sideoftheequationto P=2 90=2e makeitnicerandeasier r=8.4%=0.084 2 2toworkwith. t=?Letstakethenaturallogarithmoftheequation. ln45= 0.084)(t) lne(lne=1ln45=(0.084)(t)(1)Solvefort ln45=t 0.084t=45.3174... 16. (b)Howlongwillittakehertocollect90differentgowns? Wearestillusingthecontinualcompoundinterestformula.Sinceherwardrobeisstillcompounding continuouslybutthistimewearegivenAandaresolvingfortime(t)rt(0.084)(t)A=Pe 90=2e Howdowebringthetdown?hmmmm.... A=90 Divideoutthe2onboth (0.084)(t) sideoftheequationto P=2 90=2e makeitnicerandeasier r=8.4%=0.084 2 2toworkwith. t=?Letstakethenaturallogarithmoftheequation. ln45= 0.084)(t) lne(lne=1ln45=(0.084)(t)(1)Solvefort ln45=t 0.084t=45.3174...IwilltakeSerena45.32daystoreach90differentgowns. 17. Question # 1 solved!! 18. Attachments sailormoon1hw7.jpg