MATH 203 Lecture Notes - Lecture 8: Croatian Radiotelevision, Street Light, Exponential Decay

• School: Concordia University
• Department: Mathematics
• Course: MATH 203
• Professor: All

Document Summary

Class_8: exponential growth and decay: annually (exponential), = ; 691: 59 rate 2% in 50 years compounded. 100 (cid:19) = ; 000 rate 2% in 50 years with simple in- 100(cid:19), compound interest a (t) = (a) ; 000(cid:18)1 + = ; 586; 147; 327; 603; 712: 75 a penny compounded annually on 2% in 2; 000 years (simple interest is negligible): Long term simple (linear) and compounded (exponential) (b) compound interest is calculated on the last amount (including the acquired interest). If the amount (principal) originality deposited was (e. g. ) A = ; 000 on annual interest (e. g. ) i = 3% d dt. < a (t) (aat) = aat (ln a); for a small value of h > 0 : a (t + h) (cid:25) A (t)0 = aat (ln a) > 0 ! a > 1 if if a (t)0 = aat (ln a) < 0 !