Ph. 1: An individual starts a saving plan by depositing $1000on January 1 of the
ID: 1938505 • Letter: P
Question
Ph. 1: An individual starts a saving plan by depositing $1000on January 1 of the first year, in an account with a guaranteed compounded annually at a rate of return of 5%. His future deposits will be always made on January 1 of each successive year, and the Amount of deposit will be $ 1000 in odd years, while 2000.00 in even years. Compute his balance on the eve of Dec. 31 of the 20th year. Answer: Balance = $ Pr.2 : x and y are integers. Find their values, if we wish to minimize following expression M (x, y) =| x -1 | + | y -3 | + | x + 6 | | y - 4 | + | x + 2 | + | y -10 | Answers: (x, y) = ( , ) Mmin = Pr.3: Curve (a) is described by the parametric equations x = 2 + cos(3t) y = 5 + sin(3t) Curve (b) is described by the parametric equations x = t y = t2 - 3 The curves (a) and (b) intersect at P and Q: Answers: Find P( , ) Q( , ) Pr.4: The variables x and y are normally distributed random variables with the following properties: x- = 60 sigma x = 4 y- = 70 sigma Y = 5 and z = x + y Find : sigma z = P( 125Explanation / Answer
5. s = 1 +1/2 + 1/3 + 1/4 + .....
n =31
S =4.027