Which expression has the same value as 59.2 - 84.7
1 answer:
You might be interested in
Answer:
a. See attachment below
b. 613 people
c. Categorical
Step-by-step explanation:
a. View attachment below
b.
Given
Total Number of People Surveyed = 1021
X tax return by professional / Number of People Surveyed = 60%
X tax /1021 = 0.6
X tax = 0.6 * 1021
X tax = 612.6
X tax = 613------ Approximated
So, the number of people used an accountant or professional tax preparer are 613.
c.
The data for preparing a tax return will be considered as categorical as the methods for a person to file his/her tax returns are categorized into four which are:
1.Electronically
2.Manual preparation
3.Online tax service
4.Use of software tax program
The Lagrangian for this function and the given constraints is
which has partial derivatives (set equal to 0) satisfying
This is a fairly standard linear system. Solving yields Lagrange multipliers of
and 
, and at the same time we find only one critical point at 
.
Check the Hessian for
, given by
is positive definite, since 
for any vector 
, which means 
attains a minimum value of 
at 
. There is no maximum over the given constraints.
which has partial derivatives (set equal to 0) satisfying
This is a fairly standard linear system. Solving yields Lagrange multipliers of
Check the Hessian for