# Equation Sheet

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Department
Engineering
Course
EGR 102
Professor
Genik
Semester
Spring

Description
Conservation Laws  Least Squares Fit  Change = increases ­ decreases  y = a  +(a  x)  0 1 Increases = decreases  a  = nΣx iyi −∑i  iy  1 n∑(x i)−(∑xi ) Flow in = Flow out  a 0= y−(a  x) 1 Interest  Quantification of Error  i = interest per interest period  S r= ∑(y  −i  −a 0x  ) i i 2 n = number of interest periods  Standard Error of the Estimate  P = present worth  S y = S r  F = future worth  x √ n−2 A = “annual” end­of­period payment  Coefficient Determination  S  −S  Single Payments  r = t r   S t Compounding  Root Finding  n F = P(1+i)    Graphical Method  Discounting  gm c d v(t) = cd(1−e− m t)  P = F 1 n   [ (1+i)  Bisection  Annual Payment (Amortization)  ● Pick xl and xuto bound root  i(1+i)  i xl+xu A = P [ (1+i)  −1 = F [ (1+i)  −1   ○ x r= 2   ● If x  < 0; the new x  = x   and  Multiple Payment  r u r (1+i)  −1 repeat step 2  F = A [ i ]   ●
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