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Lesechka [4]
3 years ago
13

What is Constant Term? ​

Business
2 answers:
denpristay [2]3 years ago
5 0

Answer:

In mathematics, a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial

   x 2 + 2 x + 3 ,   {\displaystyle x^{2}+2x+3,\ } x^{2}+2x+3,\

the 3 is a constant term.

After like terms are combined, an algebraic expression will have at most one constant term. Thus, it is common to speak of the quadratic polynomial

   a x 2 + b x + c ,   {\displaystyle ax^{2}+bx+c,\ } ax^{2}+bx+c,\

where x is the variable, and has a constant term of c. If c = 0, then the constant term will not actually appear when the quadratic is written.

It is notable that a term that is constant, with a constant as a multiplicative coefficient added to it (although this expression could be more simply written as their product), still erm as a variable is still not present in the new term. Although the expression is modified, the term (and coefficient) itself classifies as constant. However, should this introduced coefficient contain a variable, wginal number has a constant meaning, this has no bearing if the new term stays constant as the introduced coefficient will always override the constant expression - for example, in ( x + 1 ) ( x − 2 ) {\displaystyle (x+1)(x-2)} (x+1)(x-2) when x is multiplied by 2, the result, 2x, is not constant; while 1 * -2 is -2 and still a constant.

Any polynomial written in standard form has a unique constant term, which can be considered a coefficient of x0. In particular, the constant term will always be the lowest degree term of the polynomial. This also applies to multivariate polynomials. For example, the polynomial

   x 2 + 2 x y + y 2 − 2 x + 2 y − 4   {\displaystyle x^{2}+2xy+y^{2}-2x+2y-4\ } x^{2}+2xy+y^{2}-2x+2y-4\

has a constant term of −4, which can be considered to be the coefficient of x0y0, where the variables are eliminated by being exponentiated to 0 (any number exponentiated to 0 becomes 1). For any polynomial, the constant term can be obtained by substituting in 0 instead of each variable; thus, eliminating each variable. The concept of exponentiation to 0 can be extended to power series and other types of series, for example in this power series:

   a 0 + a 1 x + a 2 x 2 + a 3 x 3 + ⋯ , {\a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+\cdots ,} a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+\cdots ,

a0 is the constant term. In general a constant term is one that does not involve any variables at all. However in expressions that involve terms with other types of factors than constants and powers of variables, the notion of constant term cannot be used in this sense, since that would lead to calling "4" the constant term of ( x − 3 ) 2 + 4 {\displaystyle (x-3)^{2}+4} (x-3)^{2}+4, whereas substituting 0 for x in this polynomial makes it evaluate to 13.

Explanation:

stich3 [128]3 years ago
5 0

Answer:

Constant Term  

The term in a simplified algebraic expression or equation which contains no variable(s). If there is no such term, the constant term is 0.

Explanation:

Example:   –5 p(x) 2x^{3} -4x^{2} +9x-5

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Connors Corporation acquired manufacturing equipment for use in its assembly line. Below are four independent situations relatin
kobusy [5.1K]

Answer:

A: we reocrd at cost, which is the discounted price:

40,000 x (1 - 2%) = 39,200

Equipment 39,200 debit

          Cash               39,200 credit

B: we discount the note implicit interest:

42,000 / 1.12 = 37,500

Equipment    37,500 debit

    Note payables          37,500 credit

C: Because; there is commercial substance we recognize the loss on the old equipment as the book value is 13,500 while it is being traded at 8,500

We write off, post the cash used and the loss. The new equipment enter the accounting for the difference to blaance the entry:

equipment           45,500 debit

acc depreciation 15,500 debit

loss at disposal    5,000 debit

                 cash         37,000 credit

                 equipment 29,000 credit

D: we evaluate the equipment at fair value

Equipment      40,000 debit

  common stock              2,500            credit

  additional paid-in         37,500           credit

We now it is no-par therefore there is an additional paid in.

<em>As we aren't provide with the face value we assume is 1 dollar.</em>

Explanation:

5 0
3 years ago
Moral entrepreneurs people who wage moral crusades to control criminal law are a part of which view of crime?​
Sindrei [870]
Moral entrepreneurs people who wage moral crusades to control criminal law so that it reflects their own personal values. Criminals are driven by unconscious thought patterns, developed in early childhood, that control <span>behaviors over the life course.</span>
4 0
3 years ago
Ware Co. produces and sells motorcycle parts. On the first day of its fiscal year, Ware issued $35,000,000 of five-year, 12% bon
nlexa [21]

Answer:

Cash proceeds is $37,702,607.23  

First premium amortization $214,869.64

Second premium amortization is $225,613.12

First year interest expense is $ 3,759,517.24  

Explanation:

The amount of cash proceeds from the bond issue is the pv of the bond using the pv formula,=-pv(rate,nper,pmt,fv)

rate is 10% yield to maturity divided 2 since interest is semi-annual i.e 5%

nper is 5 years multiplied by 2=10

pmt is the semi-annual interest payable by the bond i.e $35,000,000*12%*6/12=$2,100,000

fv is the face value of the bond at $35,000,000

=-pv(5%,10,2100000,35000000)

pv=$37,702,607.23  

The amount of premium to be amortized in first semi-annual interest payment:

Interest expense=$$37,702,607.23*10%/2=$1,885,130.36  

coupon interest=$35,000,000*12%/2=$2,100,000

Premium amortized=$2,100,000-$1,885,130.36  

premium amortized=$214,869.64  

The amount of premium to be amortized in second semi-annual interest payment:

interest expense=($37,702,607.23+$2,100,000-$1,885,130.36)*10%/2

                           =$1,874,386.88  

Premium amortized=$2,100,000-$1,874,386.88

premium amortized=$225613.12

Bond expense for the first payment= 37,702,607.23*10%/2  

                                                           =$1,885,130.362

Bond expense for the first payment=  37,487,737.59  *10%/2  

                                                           =$ 1,874,386.88  

First year bond interest expense= 1,874,386.88+1,885,130.362  

                                                      =$ 3,759,517.24  

                                                     

Find attached schedule in addition

Download xlsx
4 0
3 years ago
Use the following information to answer the question. There are three firms in an economy: X, Y, and Z. Firm X buys $200 worth o
Kamila [148]

Answer:

$2,775

Explanation:

The computation of the GDP of the economy is given below:

But before that the total value sold by three firms would be determined

Total amount of goods sold by X:

= X sells to Y + X sells to Z

= $150 + $75

= $225

Total amount of goods sold by Y:

= Y sells to X + Y sells to Z

= $200 + $50

= $250

Total amount of goods sold by Z:

= Z sells to X + Z sells to Y

= $300 + $250

= $550

Now

Amount of goods generated by X

= units of output × cost per unit

= 250 units ×  $4

= $1,000

Value of goods generated by Y

= units of output × cost per unit

= 300 units ×  $6

= $1,800

Value of goods generated by Z

= units of output × cost per unit

= 500 units ×  $2

= $1,000

Now GDP is

= [Goods generated by X - Valued added by X] + [Goods generated by Y - Value added by Y] + [Goods generated by Z - Value added by Z]

= [$1,000 - $225] + [$1,800 - $250] + [$1,000 - $550]

= $775 + $1,550 + $450

= $2,775

5 0
3 years ago
A company takes insights provided by its data analytics team, validates them, and finalizes a strategy. They then implement a pl
musickatia [10]

The correct option is C) Act. Act is the sixth phase of the data analysis process.

<h3>What is the act in the data analysis process? What are the other steps involved in it?</h3>

The sixth step of the data is to act. It will provide the recommendations or solutions to the team and stakeholders for solving the business problems and makes the good decision.

Data analysis process involves the defining of the question, collection, cleaning, analyzing of the data and sharing the results.

Basically, it helps the business in making the informed and sound decisions.

Learn more about the data analysis process here:-

brainly.com/question/17353324

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3 0
2 years ago
Read 2 more answers
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