The following equation of parabola is given:
p(x)= - 5 x^2 + 240 x - 2475
where p(x) = y
This is a standard form of the parabola. We need to
convert this into vertex form of equation. The equation must be in the form:
y – k = a (x – h)^2
Where h and k are the vertex of the parabola. Therefore,
y = - 5 x^2 + 240 x - 2475
y = -5 (x^2 – 48 x + 495)
Completing the square:
y = -5 (x^2 - 48 x + 495 + _) - (-5)* _
Where the value in the blank _ is = -b/2
Since b = -48 therefore,
y = -5 (x^2 – 48 x + 495 + 81) + 405
y – 405 = -5 (x^2 – 48 x + 576)
y – 405 = -5 (x – 24)^2
Therefore the vertex is at points (24, 405).
The company should make 24 tables per day to attain maximum
profit.
Answer choreographing a dance step by step
Answer: Define Project Needs, Understand the Project Objectives, Define the Project Scope
Explanation: Project Scope is defined as the work that needs to be accomplished to deliver a product, service, or result with the specified features and functions.
The scope of the project should have a tangible objective for the organization that is undertaking the project
There are 3 main steps of project scope and they are:
1. Define Project Needs
2. Understand the Project Objectives
3. Define the Project Scope
Scope statement are the documentation of the scope of the project will explain the boundaries of the project, establish the responsibilities of each member of the team and set up procedures for how the work that is completed will be verified and approved.
1. The rate of return for each year is 4.05%
<span>2010 $100 $4 => 4%
2011 $110 $4 => 3.6%
2012 $90 $4 => 4.4%
2013 $95 $4 => 4.2%
Average is 4.05%
2. The dollar-weighted rate of return is
-3(4%) - 2(3.6%) + 1(4.4%) + 4(4.2%)
14.75%</span><span /><span>
</span>
Answer:
The income tax expense for 2021 income statement is $101 million as computed in the explanation section below.
Explanation:
The income tax expense in the year 2021 is the income taxes payable while adding the reduction in deferred tax asset or deducting the increase in deferred tax asset plus the portion of the current deferred tax asset not realizable using the applicable tax rate as found below:
Income tax payable $90 million
deduct;increase in deferred tax asset($170-$130) ($40 million)
Add;unrealized deferred tax asset($170*30%) $51 million
Income tax expense for 2021 income statement $101 million
