simple interest in general mathematics quarter 4, Cheat Sheet of Biology

Download simple interest in general mathematics quarter 4 and more Cheat Sheet Biology in PDF only on Docsity! ANNUAL SIMPLE INTEREST I S=Prt MATURITY (FUTURE) VALUE F=P+ I S MATURITY (FUTURE) VALUE F = P (1 +rt) MATURITY (FUTURE) VALUE AND COMPOUND INTEREST F=P(1+r )t I c=F−P PRESENT VALUE AT COMPOUND INTEREST P= F (1+r) =F ¿ Total number of conversion periods n n = mt = (frequency of conversion) x (time in years) Rate (j) of interest for each conversion j=i m m = annual rate of interest frequency of conversion MATURITY VALUE, COMPOUNDING m times a year F=P(1+ i m ¿¿m) mt ¿ PRESENT VALUE P AT A COMPOUND INTEREST F=P F (1+ i m ¿¿m) mt ¿ FINDING THE NUMBER OF PERIODS n, FOR COMPOUNDED INTEREST F=(1+ j)n Then log F=log ⁡(1+ j)n=n log(1+ j) Thus, n= logF mlog(1+ j) FINDING THE INTEREST RATE j, PER CONVERSION PERIOD Using the formula maturity value F, present value P, and interest rate j, F=(1+ j)n Then n√F=1+ j Thus, j=n√F−1 Using j=i m m ,then i(m)=mj Equivalent rate F1=F2 Amount (Future Value) of an Ordinary Annuity: F = R (1+ j)n−1 j Present Value of an Ordinary Annuity P = R 1−(1+ j)−n j Periodic Payment R of an Annuity F=R((1+ j)−n1 )❑⇒ R= F [ (1+ j)n−1j ] P=R [1−(1+ j)−n j ]❑⇒ R= P [1−(1+ j)−n j ] FUTURE AND PRESENT VALUE OF A GENERAL ORDINARY ANNUITY F=R (1+ j)n−1 j ∧P=R 1−(1+ j )−n j Where R is the regular payment j is the equivalent interest rate per payment interval converted from the interest rate per period, and; n is the number of payments 1 Re a ie he sche function fat is : ™ ten ree ‘That inthe deriva offi quale the sep af the wget Bie at 6) otaions: Ky =/), the cervatie a fs commeely dencted by yom & te Bien Zin eample © Compe (1) for each of he fosowtg fmeens aheaesera bres 2, oe (FC) dsnores that ne nec of the derivate ofthe Faneen at Nore that/() =5(0) 225426, roy atta ete dif ii) Patt ntaeme id om ‘series ray=s) Fi wnat te rt sree tn tis expe, (1) > 2 Thus, (ken a te aia ee roo ro eae oi 7(-1) 2 phere sin aps ae “To ersise the net at) eubotate 1 ts the obtaned dere Peper reac sa) enti wether fiction (=e 1 rere cot ceninaaue feast im: eri te fo am He il ed 9) =e = re pb (0) igh Penna wenonneentt repeats Saath rape jg actos amt tt reyaa et ame Pitesti the “ even ‘en re) =20) fey-r—a sot re. Sine the destv offs) =~ 42 eet hen ia iferesiabe [Rule fr Fading the Desvittive ‘A coputnt acto 9) ena fg) cary =e ane ede yea moan,