LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON HW NO. SECTIONS ASSIGNMENT DUE

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1 Trig/Mth Anl Nme No LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON HW NO. SECTIONS ASSIGNMENT DUE LG- 0-/0- Prctice Set E #,, 9,, 7,,, 9,, 7,,, 9, Prctice Set F #-9 odd Prctice Set P #- LG- 0-/0- Prctice Set G Prctice Set H Prctice Set E #,,,, Prctice Set F #8, 8, 8 Prctice Set P #7- LG- 0- Prctice Set J Prctice Set K Prctice Set L Prctice Set P #- LG- 0-/0-7 Prctice Set M Prctice Set N Prctice Set P #-8 LG- Review Prctice Set A Prctice Set P #9- LG- Review Prctice Set B Prctice Set P #- Pge

2 Prctice Set A: Review Simplify, write in eponentil form.. 8 b.. ( n n ) ( n ) log log log. = +. 8 y y. log + = + + = = e 8. = = 8 0. Approimtely how long will it tke principl of $000 invested t % compounded qurterly to mount to $000?. A city hs popultion in 99 of,00. Find the popultion in 00 if the rte of growth is.% per yer.. 0 grms of rdioctive mteril decys to grms in 0 yers. Find the hlf-life.. Money doubles in.7 yers compounded continuously. Find the rte.. A pizz cost $.0 in 990, $7.0 in 000. Assuming eponentil growth, find the cost in 00.. $000 is invested t 7 ½ % compounded continuously.. how much is in the ccount fter yers? b. in how mny yers will money double?. The popultion of Tempe, Arizon ws 07,000 in 980 nd,000 in 990. Assume eponentil growth, estimte the popultion in A certin mteril hs rte of decy of.% yer. How much remins of 0 grms fter 0 yers? Find the hlf life. 8. Popultion of city ws 0,000 in 990 nd,000 in 000. Assuming n eponentil model, estimte the popultion in 00. In how mny yers will the popultion be,000 people? Prctice Set B: Review Simplify, write in eponentil form.. y y. log log log 8 b b. 8. ( + ) ( ) =. ( ) ( ). ( ) = 0 7. ( ) e = 8. log + + log = = 8 9. = log 0. $0,000 is invested t.% compounded continuously. How much is in the ccount fter 8 yers?. Mnhttn Islnd ws purchsed from the Indins for $ worth of merchndise in. Assume n eponentil rte of infltion of.%; how much will Mnhttn be worth in the yer 00?. Hlf life of certin mteril is yers. How much remins of 00 grms fter yers?. Money triples in yers. Find the rte.. A cndy br cost in 990, in 99. Assume eponentil growth; estimte cost in 00.. $,000 is invested t % compounded semi-nnully. How much is in the ccount fter yers?. The verge slry of mjor-legue bsebll plyer in 970 ws $9,0. In 98 the verge ws $,000. Assume eponentil growth; estimte slry in 00. Pge

3 7. The growth rte of the popultion of Alsk is.8%. Wht is the doubling time of the popultion? 8. A clcultor cost $.00 in 97. It cost $.0 in 000. When will the cost be $? Prctice Set C: Review Simplify, write in eponentil form.. y y. log log y 8 y. 9. ( ) =. ( ) ( ) log + log = = 8 7. = e 8. = = 8 0. = log8. =. How long will it tke principl of $00 invested t ½ % compounded monthly to mount to $800?. A city hd popultion of 8,00 in 9. Assuming n eponentil rte of growth of.%, in wht yer will it rech 0,000?. grms of rdioctive mteril decys to 0 grms in 0 yers. Find the hlf-life.. $,00 is invested t.% compounded continuously. How much will the ccount be worth in yers?. A gllon of milk cost $0. in 9 nd $.9 in 98. Assuming eponentil growth, find the cost in $,800 is invested t 8.% compounded continuously. How long before the money doubles? 8. A $00 computer bought in 99 deprecites to $0 in 999. Wht will it be worth in 00? 9. A techer s slry ws $ month in 907. Assuming n eponentil growth rte of %, find the techer s slry per month in 007. Prctice Set D: Review Simplify, write in eponentil form.. y. log log 8 8 y 8 y.. ( ) =. ( ). 9. = 7. e ( ) 8 = log + log = log = 8. = log 8 8 =. = 7. A clcultor cost $8 in 97 nd $0 in 98. Find the cost in 00.. Money doubles in 8. yers compounded continuously. Find the rte.. 7 grms of rdioctive mteril decys to grms in yers. Find the hlf-life.. How long will it tke principl of $00 invested t ½% compounded qurterly to mount to $00?. $,00 is invested t.% compounded continuously. How much will the ccount be worth in 8 yers? 7. Popultion of city ws,00 in 98 nd 8,000 in 99. Assuming n eponentil model, estimte the popultion in 008. In wht yer will the popultion be 0,000? Prctice Set E: Rtionl Eponents (Pge ) Evlute ech epression. Pge

4 . 9. Write in eponentil form.. y. Find the unknown eponent.. =?. Epress in simplest rdicl form. 0.. b? 8 = b c 7 = 7? ( ) Simplify ech epression. Leve nswers in eponentil form if necessry... ( ) Solve ech eqution.. y = 9. Prctice Set F: Rel Number Eponents (Pge -) Simplify.. 7. b. π π 9 c =. w + 9. ( )? 9 9 = w =. 8 π. π 0. ( ) π ( + ). ( + ) = 8. = 8 = = = 0 Prctice Set G: Compositions nd Inverses of Functions (Pge 0) Suppose f ( ) =, g =, nd h =. Find rel-number vlue or n epression in for ech of the following. If no rel vlue cn be found, so stte. 0 f h 9. f g c. f g. c. f h( ). h g ( 7) c. h g ( ) Prctice Set H: Definition of Logrithms (Pge ) Evlute ech logrithm.. log. log 8. log 8 7. log 9. log. log π π +. log7 9. log 8 Solve for 7. log Pge

5 9. log8 =. log =. log =. log 7 = 7. log = 9. log ( log ) = 0 Prctice Set J: Review (Pge ) Write in eponentil form.. 8 y b. Write in simplest rdicl form... Solve ( ) = 8 Simplify... Solve = 8 If f = + nd g =, find b. b b b.. f ( g ()) b. g ( f () ) c. f ( g( )) d. g ( f ( )) Prctice Set K: Lws of Logrithms (Pge 8 Orl) Epress ech logrithm in terms of log M nd log N.. log M. 7 log N... log log M 7. log M Epress s logrithm of single number or epression. 9. log + log. log log M N N. M. log N 8. log N N log. logb + logb + logb 7. logb p + logb q 9. logb r + logb s Let c = log0 nd d = log. Epress the following in terms of c nd d.. log 0. log. log Prctice Set L: Lws of Logrithms (Pge 9) Evlute 0. log0 + log0. log log 8 Solve ech eqution.. log log log log + = log 8 log 8. log log ( ) = log = +. b b b 0. log ( 9) =. log ( + ) + log =. log log ( ) = Prctice Set M: Applictions of Logrithms (Pge ) Solve ech eqution.. Give the solution in clcultion-redy form. b. Give the solution to three significnt digits 9. 8 =.. t = 0 Solve using clcultor Pge

6 7. = =. t = = 0 7. Use the chnge-of-bse formul to find log 0 Prctice Set N: Eponentil Growth nd Decy (Pge 8) Given nswers to three significnt digits.. The rdioctive gs rdon hs hlf-life of.8 dys. How much of g smple remins fter. dys?. If Ms. Mrtinez invests $00 t % compounded qurterly, wht is the vlue of the investment fter yers?. Some yers go Ms. Mrtinez invested $0,000 t % compounded monthly, nd the ccount now contins $0,000. How long go did she strt the ccount?. The popultion of colony of bcteri grew from 0 to 0 during the period from noon until p.m. At wht time will the popultion be 0?. If 0g of tritium decys to 8.0g in.9 y, wht is the hlf-life of tritium? 9. You invest $000 in bnk giving 0% interest compounded qurterly. Two yers lter you trnsfer the mount to different bnk giving % interest compounded seminnully. Wht is the vlue of your investment fter totl of yers growth? 0. A $,000 mchine deprecites eponentilly, losing ech yer 8% of the vlue it hd t the beginning of the yer. Wht is the vlue of the mchine yers fter its purchse? Prctice Set P: Grphing Grph. Show pproprite points nd symptotes.. y + =. y =. y =. y = +. y =. y = e 7. y log = 8. y log ( ) 0. y = log +. y log = + 9. y = log =. y e ( ) y = +. y = log ( + ).. y = e 7. = log +. y = log y = 8. y = ln ( ) 9. y = +. y = log + 0. y = y = ln +. y = +. y =. ANSWERS Prctice Set A. b. y ½ , b. 9. yers. 8, g; 8. yrs 8.,80; 8.8 yrs Prctice Set B. 8 8 y. b Pge

7 ,. $,00, ,0.. $0,0, yrs 8. 0 Prctice Set C 8. y. y.. & yrs. bout yrs. $7.98. $ yrs $. Prctice Set D. 7 y. 7 y $.. 8.% yrs..89 yrs. $ , 7b. 8. yrs Prctice Set E. 7. ½ y. b 7. b c ,. 9. { } Prctice Set F. b. c.. 8 π. π ½.. π Prctice Set G. c.. c. no rel vlue. c. Prctice Set H Prctice Set J. y b.. 8 b. b b.. 8 b b. 7 c. d. + Prctice Set K. log M. 7log N. log M + log N. log M log N. log M. 9. log. log 8. log. logb 0 7. log b p q 9. log b rs. c + d. d. d Prctice Set L Pge 7

8 , -.., Prctice Set M 9. log 9b. 0.8 log8. log0 b log {.7,0. } Prctice Set N.. g. $ yrs. ppro. :9 p.m... yrs. 9. $. 0. $7. Prctice Set P Pge 8

9 .... Eponentil Growth/Apprecition: ( ) A = P + r t Eponentil Decy/Deprecition: t ( ) A = P r Continuous Interest: A = Pe rt Compound Interest: nt b ng r A = P + Pge 9