An ordinary annuity that earns 7.5 % compounded monthly has a current balance of $500,000 . The owner of the account is about to retire and has to decide how much to withdraw from the account each month. Find the number of withdrawals under each of the following options: A $5,000 monthly B $4,000 monthly C $3,000 monthly
An ordinary annuity that earns 7.5 % compounded monthly has a current balance of $500,000 . The owner of the account is about to retire and has to decide how much to withdraw from the account each month. Find the number of withdrawals under each of the following options: A $5,000 monthly B $4,000 monthly C $3,000 monthly
An ordinary annuity that earns
7.5
%
compounded monthly has a current balance of
$500,000
. The owner of the account is about to retire and has to decide how much to withdraw from the account each month. Find the number of withdrawals under each of the following options:
A
$5,000
monthly
B
$4,000 monthly
C
$3,000 monthly
(4) (8 points)
(a) (2 points) Write down a normal vector n for the plane P given by the equation
x+2y+z+4=0.
(b) (4 points) Find two vectors v, w in the plane P that are not parallel.
(c) (2 points) Using your answers to part (b), write down a parametrization r: R² —
R3 of the plane P.
(2) (8 points) Determine normal vectors for the planes given by the equations x-y+2z = 3
and 2x + z = 3. Then determine a parametrization of the intersection line of the two
planes.
(3) (6 points)
(a) (4 points) Find all vectors u in the yz-plane that have magnitude [u
also are at a 45° angle with the vector j = (0, 1,0).
= 1 and
(b) (2 points) Using the vector u from part (a) that is counterclockwise to j, find an
equation of the plane through (0,0,0) that has u as its normal.
Chapter 3 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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