Y=c(1+r)^t 238345-What is y=a(1+r)^t
Section 142 Line Integrals Consider a smooth plane curve Cde ned by R~(t) = hx(t);y(t)i, where a t b A partition of the interval a;b a= t 01115 Substitute y = erx into the given differential equation to determine all values of the constant r for which y = erx is a solution of the equation y′′ y′ − 2y = 0 Solution The first and second derivatives of y = erx are y′ = rerx, y′′ = r2erx If we plug these into the differential equation we get r2e rxrerx − 2e = (r2 r −2)erx = 0 As erx 6= 0 for any r or x1 C is the initial amount t is the time period (1 r) is the growth factor, r is the growth rate The percent of increase is 100 r y = C (1 r) t E XPONENTIAL G ROWTH M ODEL W RITING E XPONENTIAL G ROWTH M ODELS A quantity is growing exponentially if it increases by the same percent in each time period 2 Http Www3 Nd Edu Xliu3 Teaching M225s03 Exam1 P1 Pdf What is y=a(1+r)^t