The price that a company charged for a computer accessory is given by the equation 100-10x2 where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories
produced yields approximately the same profit?
O 1.45 million
O 3.45 million
O 40 million
O 48 million

Answers

Answer 1

Answer: 1.45 million is your answer

Step-by-step explanation:

edge

Answer 2

The number of accessories produced that yields approximately the same profit as 2 million is 3.45 million. The correct option is B.

What is Revenue?

Revenue is defined as the money generated by normal business operations and is calculated by multiplying the average sales price by the number of items sold.

The profit (P) made by the company can be calculated as follows:

P = (Revenue) - (Costs)

Where Revenue = (Price per accessory) × (Number of accessories produced), and Costs = (Cost per accessory) × (Number of accessories produced).

So, using the given information, we can write:

P = (100-10x^2) x - (10x)

where x is the number of accessories produced in millions.

We know that the company makes a profit of 100 million dollars when it produces 2 million accessories, so we can set P = 100 and x = 2, and solve for the constant of proportionality k:

100 = (100-10(2)^2)(2) - (10)(2) + k

k = 200

Now, we can set P ≈ 100 again and solve for x, using k = 200:

100 = (100-10x^2)x - (10x) + 200

0 = -10x^3 + 10x^2 + 10x + 100

0 = -x^3 + x^2 + x + 10

We can solve this equation using synthetic division or by using a graphing calculator, and we find that there is a root between x = 3 and x = 4.

Therefore, the number of accessories produced that yields approximately the same profit as 2 million is 3.45 million, which is option B.

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Related Questions

i need help with this

Answers

Answer:

[tex]178.54[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

[tex]\frac{7.7}{0.093-0.797} +\frac{7.2}{0.038}[/tex]

Step 2: Evaluate

Subtract:                    [tex]\frac{7.7}{-0.704} +\frac{7.2}{0.038}[/tex]Divide:                       [tex]-10.9375 +189.474[/tex]Add:                           [tex]178.536[/tex]Round:                       [tex]178.54[/tex]

Write 108 as a product of its prime factors

Answers

Answer:

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and 108.

Step-by-step explanation:

These are the factors of 108 because: 1 x 108 = 108. 2 x 54 = 108.

PLEASE HELP ASAP I FORGOT HOW TO DO THIS!

Answers

Answer:

its A

Step-by-step explanation:

Which values from the given replacement set make up the solution set of the inequality? 2b≥6;

A) { 3, 4}

B) {2, 3, 4}

C) {1, 2, }

D) {1, 2, 3}

Answers

The answer is A because the variable can’t be no lower than 3 and every other answer has 2 in it. 2•(3) is equal to 6 and 2•(4) is greater than 6 which correlates with the sign (greater than or equal to).

perperimeter of rectangle l= 12 b=18 p= ?​

Answers

Answer:

The perimeter of the rectangle is 60

2(l+b) = 2(12+18) which is equal to 2 x 30 = 60

Suppose we are given the following.
Line 1 passes through (-1, 4) and (-3, -2).
Line 2 passes through (-1, -2) and (0, 1).
Line 3 passes through (-6, -3) and (3, -6).
(a) Find the slope of each line.
Slope of Line 1 =
Slope of Line 2 = 0
Slope of Line 3 =
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: Parallel Perpendicular Neither
Line 1 and Line 3: Parallel Perpendicular Neither
Line 2 and Line 3: Parallel Perpendicular Neither

Answers

Answer:

Slope of line 1 = 3

Slope of line 2 = -3

Slope of line 3 = -1/3

Line 1 and 2 = perpendicular

Line 1 and 3 = perpendicular

Line 2 and 3 = perpendicular

Step-by-step explanation:

trust me its correct

pls mark me as brainliest

Brianna is solving the equation -5 + 6(6x + 6) = 1 + 6x. Her steps are shown.
Step 1: -5 + 36x + 36 = 1 + 6x
Step 2: 36x + 41 = 1+ 6x
Step 3: 30x + 41 = 1
monts
sents
Step 4: 30x = -40
4
Step 5: x = -
3
A: Identify the first step in which Brianna made an error.
B: Write the correct solution to Brianna's original equation.

Answers

Answer:

Part A: Brianna made a error on step 2. Because it has to be + 31 not + 41 cause it is a -5+36

Part B: x= -1

Step-by-step explanation:

This is how it should have been done.

Step 1: -5+6(6x+6)= 1+6x

Step 2: -5+36x= 36=1+6x

Step 3: 36x+31= 1+6x

Step 4: 36x= 6x-30

Step 5: 30x= -30

Step 6: x= -1

(26 + 3) x (8 ^4) pls help

Answers

Answer:

58

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

118784

▹ Step-by-Step Explanation

(26 + 3) * (8⁴)

We are going to follow PEMDAS: Parentheses, Exponents, Division, Addition, Subtraction

First, we will start with parentheses that includes exponents:

(8⁴) = 4,096 (8 * 8 * 8 * 8)

Then, we will work on the other parentheses which involves addition:

(26 + 3) = 29

Therefore,

29 * 4,096 = 118784

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

nevermind.aiurhmf auhrnqwfh

Answers

Answer:

fhjfhiewujrfl

Step-by-step explanation:

qewioruoqk;lwq;lrk

Find the coordinates of the image of the point (0,2) when it is reflected across the line x=3

Answers

Answer:

(6,2)

Step-by-step explanation:

because math

Erica opens a bank account to save for college. She makes an intial deposit of 3,000!Into an account that pays 3% interest compounded continuously the formula below is the appropriate model for the situation use it to determine how long it will take her to reach a balance of 8,400

Answers

Answer:

35 years

Step-by-step explanation:

A= P(1 + r)^n

A= $8400

r= 3%

n= ?

P= $3000

8400 = 3000(1 + 0.03)^n

8400/3000 = (1 + 0.03)^n

log2.8 = log (1.03)^n

log 2.8 = nlog 1.03

n=log 2.8/log 1.03

n= 35 years

If Elena’s ice cream cost $3.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?

Answers

Answer:8 ounces more

Step-by-step explanation:Toppings cost 50 cents, 50 cents times 8 = $3.50

Answer: 8 ounces more

Step-by-step explanation: Toppings cost 50 cents, 50 cents times 8 = $3.50

Determine if this quadrilateral is a parallelogram. Justify your answer.

Answers

Answer:no

Step-by-step explanation:

the properties for a parallelograms are

opposite angles are equalopposite sides are equaldiagonals bisect each othersum of any two adjacent angles is 180

we can conclude that the quadrilateral is not a parallelogram because it only has one pair of opposite sides that are equal. (the dashes through the sides show they are congruent to each other)

HELP ME

please help me :,(

algebra
what are the roots, and y intercept of g (x)?

f (x)=(x-2)(x+3)(x-4)(x+1)
g (x)= -f (x+3)​

Answers

Answers:

Roots of g(x) are: -1, -6, 1, -4

Y intercept of g(x) is:  24

==============================================

Explanation:

Part 1) Finding the roots of g(x)

To do this, we need the roots of f(x). Plug in f(x) = 0 and solve for x using the zero product property.

f(x) = (x-2)(x+3)(x-4)(x+1)

0 = (x-2)(x+3)(x-4)(x+1)

(x-2)(x+3)(x-4)(x+1) = 0

x-2 = 0  or  x+3 = 0  or  x-4 = 0   or  x+1 = 0

x = 2  or  x = -3   or   x = 4   or   x = -1

Those four x values are the roots of f(x). Plugging any of those values into f(x) leads to f(x) = 0.

Now onto g(x). We see that g(x) = -f(x+3). The x+3 indicates the xy axis has been shifted by 3 units to the right. This gives the illusion the f(x) curve is shifted 3 units to the left. This will move each root 3 units to the left as well.

The root x = 2 on f(x) moves to x = -1 on g(x). We subtract 3 from the first x value to get the second x value.The root x = -3 on f(x) moves to x = -6 on g(x). Same idea as above.The root x = 4 on f(x) moves to x = 1 on g(x).The root x = -1 on f(x) moves to x = -4 on g(x).

The four roots of g(x) are:  -1, -6, 1, -4

------------------------------------------------

Part 2) The y intercept of g(x)

Let's plug x = 0 into g(x) to see what happens

g(x) = -f(x+3)

g(0) = -f(0+3) ... replace every x with 0

g(0) = -f(3)

We don't know f(3) yet, but we can plug x = 3 into f(x) to find out

f(x) = (x-2)(x+3)(x-4)(x+1)

f(3) = (3-2)(3+3)(3-4)(3+1)

f(3) = (1)(6)(-1)(4)

f(3) = -24

Therefore,

g(0) = -f(3)

g(0) = -(-24)

g(0) = 24

The y intercept of g(x) is 24.

This is worth 20 points.

Find the slopes of segments CS and KP, and then determine whether they are parallel, perpendicular, or neither.

C(−6, −7),

S(−3, −5),

K(3, 3),

P(9, 7)

Answers

Answer:

CS M=2/3 , KP M=2/3

Step-by-step explanation:

Neither because, they have the same slope but CS is negative so, the slopes are in a line.

Frank started the summer with $60 in his account. He
earned $35 working, spent $48 at the beach, spent $24
on movies, spent $50 on new clothes and received $15
for his birthday. What was the final balance of his account
at the end of the summer?

Answers

Answer:

The answer should be 12

Step-by-step explanation

he has 60 in his account already so add 35 and 15 (60+35+15=110) then add 48+24+50 which equals 122. Now subtract 110-122 and you'll get 12. so the answer is 12.


You got an A on 6 of your last 18 quizzes in Algebra 2. What is the experimental probability
that you will get an A on your next quiz? (Simplify the fraction).

Answers

The experimental probability would be the number of A’s you have out of the number of quizzes you took:

Experimental probability would be 6/18 which reduces to 1/3

The answer is 1/3

I need help on this, I don't get this

Answers

Answer:  x = 4

=============================================

Work Shown:

Isolate y in the first equation

2x+y = 5

y = 5-2x .... subtract 2x from both sides

y = -2x+5

Then plug this into the other equation

-3x - 5y = 3

-3x - 5( y ) = 3

-3x - 5( -2x+5 ) = 3 .... replace y with -2x+5

-3x + 10x - 25 = 3 .... distribute

7x-25 = 3

7x = 3+25 .... adding 25 to both sides

7x = 28

x = 28/7 .... divide both sides by 7

x = 4  is the answer

-------------------------------------

Optional Section:

Use this value of x to find y

y = -2x+5

y = -2(4)+5

y = -8+5

y = -3

Then we can check our answers by plugging them into the original equations

2x + y = 5

2(4) - 3 = 5

8 - 3 = 5

5 = 5

That confirms the first equation. Repeat for the second equation

-3x - 5y = 3

-3(4) - 5(-3) = 3

-12 + 15 = 3

3 = 3

We've confirmed both equations, so (x,y) = (4, -3) is the solution to this system. This system is considered independent and consistent.

Graphing the two original equations will show that they intersect at (4, -3).

A customer hands you $3,850 in cash and would like to purchase 14 prepaid
cards of $275 each. The customer hands you the cash with an expired ID, and is
expecting you to process the transaction.
You must decline the transaction for the following reasons (Select all that apply):

Answers

Answer:

Step 1: You must decline the transaction for the following reasons:

A customer may not purchase more than $2,000 in prepaid cards within a 24-hour period.

Customer ID must be a valid (not expired) government issued photo ID (US or Canadian  issued driver's license, state ID, passport; US military ID, US Territory ID)

Customers may not purchase more than $250 at the assisted check out

you must decline this transaction for disiplinary action or termination

pls help asap
find the inequality represented by the graph​

Answers

Answer:

the inequality is y>1/3x -3

Step-by-step explanation:

im built different

Melissa purchased $39.46 in groceries at a store. The cashier gave her $1.46 in change from a $50 bill. How much change should the cashier have given Melissa?

Answers

Step-by-step explanation:

Melissa have about 90$

What is 12x10y24z15???????????

Answers

Answer:

I don't understand the question

Step-by-step explanation:

How to write this in slope-intercept form? 8x + 10y = 40

Answers

Answer:y=-4/5x+4

Step-by-step explanation:

Answer:

y = -4/5 + 4

Step-by-step explanation:

i need help plzzzzzz

Answers

The answer is 3.7a+3b

Because you combine like terms

Answer:

3.7a/10+3b

Step-by-step explanation:

Hope this helps and have a great day :)

do you know how to bake a muffan

Answers

Answer:

yea by using a resipe

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

you need eggs, butter, flour, sugar, salt, oil (i prefer olive oil) and baking powder.

fruit if you like them in your sweets.

this makes 12 muffins

2 cups flour

3 tsps baking powder

1/2 tsp salt

3/4 cup sugar

1 egg

1 cup milk

1/4 cup oil

preheat oven. i usually do 350 F, increase the temperature if youd like them to cook faster but keep in mind youll need to check on them often with increased heat.

stir together your dry ingridents and in a seperate bowl beat your egg with a fork. stir in the milk and oil with the egg.

pour into your dry ingriedeints until everything is well mixed.

bake until golden

if you like fruit id suggest blueberries, 1 cup

What is the slope for 3y+6x=9

Answers

The correct slope is -2. You can use the slope intercept form to find this.
Answer :
-2

The slope intercept form :
y = mx + b
m - a slope

3y+6x = 9
y = -2x -3
-2 = m

What is a irrational number between 9.6 and 9.7

Answers

Irrational = cannot be expressed as a fraction
It would be 9.66266227228, since it couldn’t be expressed as a fraction

9/2 ÷ 3/4
Please help me

Answers

The answer will be 6

5 . 9 × ____ = 73.16 which is the missing factor?

A.
0.124

B.
1.24

C.
12.4

D.
124

Answers

Answer:

C) 12.4

Step-by-step explanation:

First you divide 73.16 by 5.9 which equals your answer 12.4

Hope this helps.

The missing factor in the expression will be;

⇒ 8.13

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 9 x ? = 73.16

Now,

Let the missing factor in the expression = x

So, We get;

⇒ 9 × x = 73.16

Solve for x,

⇒ 9 × x = 73.16

Divide by 9 both side, we get;

⇒ x = 73.16 / 9

⇒ x = 8.128

After rounding we get;

⇒ x = 8.13

Therefore,

The missing factor in the expression will be;

⇒ 8.13

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PLEASE GRAPH THIS AND SHOW THE Y AND X INTERCEPT​

Answers

Answer:

I found this : graph the inequality by finding the boundry line, then shading the appropriate area

8 > 10p^2h-8c/5   (draw a line under the >)

Step-by-step explanation:

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