Which algebraic expression is a polynomial?
4x2 – 3x + 2
х
-6x3 + x2 - 15
* 8x2 + 7
-2x4 +
3
2x
2 3 4

Over the course of its first 5 years of operation, total profit the company would make is $633,709 .

"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."

Given, the annual profit of the company at first year = P =$277,000.

The rate of increase of profit = r% = 18% =0.18.

Total duration = n = 5.

Therefore, after first 5 years of operation, total profit the company would make = P[(1 + r)/100]ⁿ

= $277,000(1 + 0.18)⁵

=$633,708.9

≈$633,709

After 5 years , the total profit would have $633,709.

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Answer (3 different forms):

1st Form:

[tex]2+-\frac{1}{3} \sqrt{6} <x<2+\frac{1}{3} \sqrt{6}[/tex]

2nd Form:

[tex]-\sqrt\frac{2}{3}+2<x<\sqrt\frac{2}{3}+2[/tex]

3rd Form:

[tex]\frac{6-\sqrt{6}}{3}<x< \frac{6+\sqrt{6}}{3}[/tex]

Or

[tex](\frac{6-\sqrt{6}}{3}),(\frac{6+\sqrt{6}}{3})[/tex]

Step-by-step explanation:

You can see that I put three different forms of answers, but they are all still equivalent answers. The reason why I got three different answers is because I put the inequality in three different calculators and they all got me different answers, but all three are still equivalent. The following three attachments are images of the three calculators that I used to solve.

Hope this helps and answers your question! :)

Answer:

[tex]\frac{1}{6} a-\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} a+\frac{5}{6}a-\frac{1}{6}[/tex]

[tex]=-\frac{4}{6} a+\frac{5}{6}a -\frac{1}{6}[/tex]

[tex]= \frac{1}{6} a-\frac{1}{6}[/tex]

Answer:

[tex] \frac{( - 2)}{3} a + \frac{5}{6}a - \frac{1}{6} \\ = \frac{(- 4a) + 5a - 1}{6} = \frac{(a - 1)}{6} [/tex]

hope this helps.

Answer:

Step-by-step explanation:

If 2a+3b gives the cost (in dollars) for a shirts and b pairs of pants at a garage sale

a) To get cost for 1 shirt and the cost for 1 pair of pants, we will substitute a = 1 abd b = 2 into the expression given

Cost = 2(1) + 3(2)

Cost = 2 + 6

Cost = $8

Hence cost for 1 shirt and the cost for 1 pair of pants is $8

b) For the total cost for 5 shirts and 5 pairs of pants;

a = 5 and b= 5

Cost = 2(5)+3(5)

Cost = 10 + 15

Cost = $25

Hence the total cost for 5 shirts and 5 pairs of pants is $25

c) To check whether $20 will be enough to buy 7 shirts and 2 pairs of pants, we will substitute a =  7 and b = 2 into the expression;

Cost = 2(7)+3(2)

Cost = 14 + 6

Cost = $20

Hence $20 will be enough to buy 7 shirts and 2 pairs of pants

Answer:

56x³+87x²+51x+27

Step-by-step explanation:

You have to do box method. Draw a box that 3 by 2 cubes long. On the side that is 3 cubes long. Write 7x² on top of the first cube, 3x on top of the second cube, and 3 on top of the third cube. On the side that is two cubes long, write 8x next to the first cube and 9 next to the second cube.

Answer:

it has zero slope because it is a horizontil line

Step-by-step explanation:

Answer:

your answer would be (4, 7)

Step-by-step explanation:

Step-by-step explanation:

please i work on by paper worksheet, see it

how can i work it

Answer:

ummm

Step-by-step explanation:

Answer:

29.50

Step-by-step explanation:

Answer:

into a pyramid i think...

Answer:

14.2 years

Step-by-step explanation:

The town grows 4% (0.04) every year.

3000 x 0.04 = 120, so the town gains 120 people every year.

The town needs 1700 more people to get to 4700.

So, 4700/120= 14.1666666667

That rounds up to 14.2 years.

Hope this helped :)

Answer: a

Step-by-step explanation:

When you multiply 4 and 8 together you get 32. When you multiply 4 and 14 ypu get 56

Answer:

The range is  { -10,0,4}

Step-by-step explanation:

The domain is the input and the range is the output

f(-3) = 2(-3) -4 = -6-4 = -10

f(0) = 2(0) -4 = 0-4 = 0

f(4) = 2(4) -4 = 8-4 = 4

The outputs are { -10,0,4}

The range is  { -10,0,4}

Answer:H

Step-by-step explanation:

You just take the domain, add 1 to the first number and the rest stay the same.

Answer:

A

Step-by-step explanation:

Answer:

There are 2 lines, so this is a system of inequalities.

Find the equation of both lines:

The longer line using points (0,6) and (3,3)

Equation is y = -X+6, the inequality becomes y ≥-x+6

The equation for the shorter line:

Using points (5,1) and (6,2)

Equation is y=x-4, the inequality becomes y≤x-4

The system of inequalities is:

y ≥-x+6

y≤x-4

Step-by-step explanation:

Answer:

The answer is 2.5%

Step-by-step explanation:

Took test on edmentum and made 100%.

2.2% percentage of the pages contain fewer than 215 words.

The normal distribution is defined as a probability distribution that is symmetric about the mean, indicating that data close to the mean are more systematic in occurrence than data distant from the mean. In pictorial form.

The number of words per page in the book is normally distributed, Normal distribution is given as,
[tex]z = \frac{x-\mu}{\sigma}[/tex]

Where, x = number of words per page., µ = mean, σ = standard deviation
From given, µ = 265 words , σ = 25 words

Probability for the number of pages in the book is less than 265 words,

P( x < 215)
For,  x = 25,
z = (215-265)/25 = -2

From the normal distribution table, the probability of the z score is 0.022

The percent of pages in the book that are less than 215 words in length is 0.022 × 100 = 2.2%.

Thus, 2.2% percentage of the pages contain fewer than 215 words.

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Answer:

[tex]y = x +7[/tex]

Step-by-step explanation:

Given

[tex]Point\ (x_1,y_1) = (4,11)[/tex]

Perpendicular to [tex]y = -x + 14[/tex]

Required

Determine the line equation

An equation has the form

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison with [tex]y = -x + 14[/tex]

[tex]m = -1[/tex]

Because the line is perpendicular to [tex]y = -x + 14[/tex], the following relationship exists

[tex]m_1 = \frac{-1}{m}[/tex] i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through [tex]Point\ (x_1,y_1) = (4,11)[/tex]

So, we have:

[tex]m_1 = \frac{-1}{-1}[/tex]

[tex]m_1 = 1[/tex]

The line equation is then calculated using:

[tex]y - y_1 = m_1(x - x_1)[/tex]

Where

[tex]m_1 = 1[/tex]

[tex]Point\ (x_1,y_1) = (4,11)[/tex]

So, we have:

[tex]y - 11 = 1(x - 4)[/tex]

[tex]y - 11 = x - 4[/tex]

Add 11 to both sides

[tex]y - 11+11 = x - 4+11[/tex]

[tex]y = x - 4+11[/tex]

[tex]y = x +7[/tex]

The B, C and D parts of your question are not clear.

Apply the same steps used in (a) above and you'll get your answers

Answer:

7y + 4

Step-by-step explanation:

2y + 5y+4

add 2y and 5y

7y+ 4

Answer:

7y +4

Step-by-step explanation:

Open up the brackets ans collect your like terms and simplify the expression.

The last graph represents a system with no solutions. The solution to a system of equations is the point at which both lines intersect. Because the equations in the last graph don't intersect and are parallel, it has no solutions. Hope this helps :))

Answer:

last

Step-by-step explanation:

its either A or B

Step-by-step explanation:

its not C or D because it has to be an acute angle

Answer:

What type of math is this

Step-by-step explanation:

algebra?

Answer:

[tex]d = 3\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point A (2, -1)

Point B (-4, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Answer:

He strings 52 guitars in 15 hours

G and H are 5 units apart.

G is at (-3, -4), and H is at (2, -4)

-3 and 2 are 5 units apart, -3+5=2. 2-5=-3

Answer:

take the sticks and make the number 4 out of them

Step-by-step explanation:

Let's assume the sons age as x.

Age of the man is 2x

Five years ago,

The man's age=9x

The sons age=4x

Then find the equation.

hope it was helpful.

I am not solving all cuz that u understand how to frame a equation.

Answer:

$88.00.

Step-by-step explanation:

here is how I got my answer,

first you multiply 11, 8 times then you will get a total of $88.00.

second you do the same thing, but you go like this, you multiply 8, 11 times and you will get a total of $88.00.

therefore your answer is $88.00.

Answer:

37/3

Step-by-step explanation:

we start with 12 1/3 multiply the whole number-12 with the denominator-3 that make 36 add the numerator-1 this makes 37, this is your new numerator