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Section 4.6 Interest compounded n times per year

by: Emmaline Murphy

Section 4.6 Interest compounded n times per year MAC 1140

Marketplace > Florida State University > Mathematics (M) > MAC 1140 > Section 4 6 Interest compounded n times per year
Emmaline Murphy

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About this Document

4.6 notes for precal
Precalculus Algebra
David Ekrut
Class Notes
25 ?




Popular in Precalculus Algebra

Popular in Mathematics (M)

This 3 page Class Notes was uploaded by Emmaline Murphy on Tuesday March 1, 2016. The Class Notes belongs to MAC 1140 at Florida State University taught by David Ekrut in Spring 2016. Since its upload, it has received 19 views. For similar materials see Precalculus Algebra in Mathematics (M) at Florida State University.


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Date Created: 03/01/16
1. SpcuoN 4.6Inrnnpsr CoutpouNDED nTIMEs ppn'YEAR The Future Value,A,is amountinaccounat theendofgiventimeperiodofan account. The PresentValue orPrinciple, Pisthe amountinitialdeposited. The Annual rate of intereor nominal rater,isthe rate for fullearin decimalform. n ithenumber of timeser yeatheaccountiscompounded, i.e. theumberof timesperyeartheinteresis calculated and atoetheaccount. tisthenumber ofyearstheaccountis held. FORMULA forA: zI\nf A= P(t+ n) Example L.L. Findthe amountthatresul.from$350-U,pes!gJ12% *nmpoqnded *.t""rr,aftea peri,of9 years. W T nrl fi= ? A ?(tn+r..)nu v=*50 = fl'* 0^ l;a tef [tl .3w(.1 + Ht- 4 6{ - 3bo(' n +- ry)uo @sso,(r.T) 350 (d) o+q fl'J Section6 -\--*-.-**-*'*\ 2 Example 1.2Ifan'i.naestmen8Tompoundedsemiannually, how much should youdeposWt tohaae$2532n20years? Pralgr* [&.#*t"'lP. A 'J$S#" r'ao f , # sff A--(t *[] ** P= assa { r*?} h'& , P=A(eufl]* ?,A53a(\ + o$ y+o t; 2,0 flrn*, Example 1.3How lory,gittokW totirli,ii,s,nuesat10%,inte,rest compoundemonthly? X3 h= ?Cttt)n* f=iJ 3F, ytt+ +.,]** ln"1= \n (l+ H)'" ; :Zr ' !lf= r-- lh3 : *g=([ +aL"]tz-L_.",,t .=,ffil _H) ?,? 2.IxrsRosrCorqtruuousrCoupouuoen Anaccounthaiscontimrouscornpoundedithevalutheprevioformula approaches wne-)oo- FORMULA for A: fr= ? *'+ Exarnple 2.L.note wi,l*8,450t maturi,3 yearHow muchisthe note warth worth no,ssurnconti,nucnrnpoundat,7.3%? A runtt) = ?en+ Pr Lrlhflt's Wor+tn ? *-'* A = 8450 {*ute- ?, A -> Y,#"S?t5 fi+lae-oGl#-# L"3 o a-lq = frleoe section4-6 3 A= PuY* Example 2.2.How rn&nyyearwi,ll i,tforan,i,nuestmo/$10,00 togrouto S40,000?Assumea ratefi,ntereof9% compounded continuously. {}ffi t fl= 4A,&?# 40ff1= tCI7trt7, 4 go-aq{' : , Y; lorffi = h4 0#qt ln* ffi""--#f'fl q ' lry{= Gt*: b:'? f,).*q 0 "#''t j.d,q* = L- l-n-3 # ---ipif}4" Example 2.3.Wh,ati,nteresternm,pound,cttntinwously, wi,tl take an'inaestment o/$10,000to$40,000in5years? 3. ErpBcrrvpRaro Theeflective raofinteresrefecti.uetesimplecompoundedonce)interest ratethawouldgivethesarneeturnasangivenaccount. Example 3.L.Fi,nd the efferate ointerefor5.5% mmpoundedquarterly. flt;4 fw{ = I {**f*'}o* : Ct*W)- d t ; CI 05bi


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