A cereal company estimates that its monthly cost is
C(x) = 400x2 + 300x and its monthly revenue is
R(x) = -0.6x3 + 900x2 – 400x + 700, where x is in thousands of
boxes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?

Answers

Answer 1

Answer:

P(x)= -0.6x^3 + 500x^2  

Step-by-step explanation:

given data

monthly cost

C(x) = 400x^2 + 300x

revenue is

R(x) = -0.6x^3 + 900x^2 – 400x + 700,

where x is in thousands of boxes sold.

we know that the profit is the difference between the revenue and the cost.

therefore P(x)=R(x)-C(x)

P(x)= -0.6x^3 + 900x^2 – 400x + 700-(400x^2 + 300x )

P(x)= -0.6x^3 + 900x^2 – 400x + 700-400x^2 - 300x

P(x)= -0.6x^3 + 500x^2  


Related Questions



LUCILLE'S PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR. How many pencils will fit in her pouch
HOW MANY PENCILS WILL FIT IN HER POUCH?

Answers

Answer:

The pouch would be able to hold 12.8 pencils :)

Step-by-step explanation:

because 3/8 is 37.5 and if you do that divided by 48 and add a decimal infront of the eight you will get your answer

what is the greatest common factor of 20, 50, and 25

Answers

Answer:

Step-by-step explanation:

The greatest  common factor of 20, 50, and 25 is 5.

Given that,

The numbers are 20,50 and 25.

Based on the above information, the calculation is as follows:

[tex]20 = 5\times 4\\\\ 50 = 5\times 10\\\\ 25 = 5\times 5[/tex]

So here the common factor is 5

Learn more: https://brainly.com/question/4626564?referrer=searchResults

Explaining the Multiplication and
Explain the rules for multiplication and division comet
units. How do you know when to multiply and when
divide to convert units of measurement
Write three to four sentences

Answers

sample response: To convert larger units to smaller units, multiply. When the units are smaller, you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger, you need fewer of them to express the same measure.

The growth of a sample of bacteria can be modeled by the function b(t) =100(1.06)^t where b is the number of bacteria and t is the time in hours. What is the number of total bacteria after 3 hours? Round to the nearest whole number.

Answers

Answer:

There are 119 bacteria after 3 hours.

Step-by-step explanation:

Let be [tex]b(t) = 100\cdot 1.06^{t}[/tex], where [tex]t[/tex] is the time, measured in hours, and [tex]b(t)[/tex] is the number of total bacteria, dimensionless. The number of total bacteria after 3 hours is found after evaluating the function at given function:

[tex]b (3) = 100\cdot 1.06^{3}[/tex]

[tex]b(3) = 119.102[/tex]

We rounded to the nearest preceeding whole number, since number of bacteria represents a discrete set. There are 119 bacteria after 3 hours.

5 poin
Only two serve attempts are allowed, except in the event of a let (the ball
touches the net on the serve and lands in the proper service court; let
serves are replayed).
True
False

Answers

Answer:

true

Step-by-step explanation:

if the ball lands on the team who served the ball's side of the court they are allowed to replay it. :)

TRUEEEEEEEEEEEEEEEEEE hope that helps

The third-grade chorus performs a musical for the school. The musical lasts 42 minutes. It ends at 1:59 p.m. What time did the musical start?

Answers

Answer:

1:17 pm

Step-by-step explanation:

Answer:

1:17pm

Step-by-step explanation:

59 - 42= 17

Complete the following proof.

Answers

Answer:

BD = CA ⇒ Proved down

Step-by-step explanation:

From the given figure

∵ AB and CD are diameters in circle O

OB = OA = OC = ODradii

∵ AB ∩ CD at O

∴ ∠BOD and ∠COA are vertically opposite angles

∵ The vertically opposite angles are equal in measures

m∠BOD = m∠COA

→ In Δ OBD and Δ OCA

∵ m∠BOD = m∠COA ⇒ vertically opposite angles

∵ OB = OC ⇒ radii

∵ OD = OA ⇒ radii

Δ OBD and Δ OCA are congruent by SAS postulate

→ From congruency

BD = CA

I’m stuck on this question, can someone help me please?

Answers

Answer:

I think its 110

Step-by-step explanation:

f(x) = 5x3 + 2x2
35x
14
-

Answers

Answer:

651

Step-by-step explanation:

f(x) = 5×3 + 2×2

35x

14

= 5×3 = 15

= 2×2 = 4

= 15 + 4

= 19

35(19) - 14

= 665 - 14

= 651

The altlas v rocket could go 1 full mile in just 1/10 of a second. How fast did it travel?

Answers

Answer:

10 miles per second

Step-by-step explanation:

The computation of the fastage did it travel is shown below:

As per the question, it is mentioned that

1 full mile for just 1 by 10 of a second

Based on the above information

If 1 by 10 seconds is equivalent to one mile,

So, 10 by 10 (1) second would be equivalent to 10 miles per second.

hence, it could be fast by 10 miles per second

Day
Distance
(miles)
1
Tuesday
Wednesday
Thursday
214
1%
Jesse is training for his track meet on Saturday. This chart shows the number of miles he ran on Tuesday, Wednesday, and Thursda
How many mites did Jesse run on these 3 days

Answers

Answer:

This is very unclear however if your miles are 214 and you need 1% of the miles you can multiply it by 0.01 and the answer would be 2.14 miles

The radius of a volleyball is 0.05 m, calculate its volume.​

Answers

Answer:

0.00052m

Step-by-step explanation:

Step-by-step explanation:

radius of volleyball= 0.05m

volume = ?

we know,

volume=4/3πr^3

=4/3×0.00039

=0.0005m^3 #

What is the lenght of the hypothesis in the triangle?

Answers

Answer:

ok in this case will represent the height with a the bells with b and the hypotenuse with c so it will be c squared is equals to a squared plus b squared 12 squared + 5 squared is equals to c squared 12 square is 144 while 5 squared is 25 when added it is 169 so csquared is equals to 169 to get c we find √ 169 source is equals to 13

Carmen creates the ratio table above based on one 8-ounce serving of juice.




How many total calories will 4 servings of juice contain?
420
520
650
780

I’ll give you brainiest!

Answers

Answer:

520. Becuase with each serving added the total calories go up by 130, 130+390=520.

The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height of the triangle?
A. 3in, 9 in
B. 8in, 24 in
C. 2in, 6in
D. 4in, 12in

Answers

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = [tex]\frac{1}{2}[/tex] x base x height

   From the problem,

        base  = [tex]\frac{1}{3}[/tex] x height

let the base  = b

            height  = h

         b =  [tex]\frac{1}{3}[/tex]h

          h = 3b

Input into the formula of area;

       24  =  [tex]\frac{1}{2}[/tex] x b x 3b

   Mulitply through by 2;

       48 = 3b²

         b² = 16

         b = √16 = 4

So, h = 3b= 3 x 4 = 12in

A $60 skateboard is only $51 after a sale. Find the percent of discount

Answers

Answer:

15% off

Step-by-step explanation:

51=60x
—- ——
60 60

0.85=x

Therefore to find the percent discount subtract 1 (which is 100%)-0.85
This gives you 0.15, or a 15% discount.

You can check by multiplying 60 by 0.15, which gives you 9, then subtracting 60-9, which gives you 51.

15% discount.

Hope this helps!!

Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.

Answers

Answer:

2 times 8 = 16 divided by 3 leaves a remander of 1

Step-by-step explanation:

The smallest whole number is 22.

What is Least Common Multiple?

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

Given:

First find the LCM of 7 and 3 .

LCM = 3 x 7 = 21

So, we will add remainder 1 (as given) to the LCM .

= 21+ 1

= 22

Learn more about LCM here:

https://brainly.com/question/20739723

#SPJ5

question 16 i mark as brainliest ​

Answers

Answer:

A

Step-by-step explanation:

Round 543,982 to the nearest hundred thousand

Answers

Answer:

500,000

Step-by-step explanation:

Please give brainleist

Answer:

500,000

Step-by-step explanation:

The hundred thousands place is bold so you can tell where it is. 543,982

To round you look at the 4 since it is below 5 you round down and it'll remain as 500,000

Hope that helps and have a great day!

What is the Calculate

Answers

The answer Mon equals 15

Answer:

From the given figure, we can see that

∠LON = ∠LOM + ∠MON

replacing the variables with the given values

77 = 9x + 44 + 6x + 3

77 = 15x + 47

15x = 30

x = 2

Finding ∠MON:

we are given that ∠MON = 6x +3

now that we know the values of x,

∠MON = 6(2) + 3

∠MON  = 12 + 3

∠MON = 15°

Which of the following numbers can be expressed as repeating decimals?

5 over 7 , 4 over 5 , 7 over 9 , 5 over 8 help plz

Answers

Answer:

7/9

Step-by-step explanation:

When 7/9 is put as a decimal then its 0.777777. This makes it a repeating decimal.

Answer:
7 over 9 would be expressed as the repeating decimal.

Explanation:
7 divided by 9 is 0.777777778

Can you give me an answer to this problem? 100m + 60m + ?m

Pythagorean thereon

Answers

Answer:

116.62m

Step-by-step explanation:

[tex]c= \sqrt{a^2+b^2} = \sqrt {100^2+60^2} approx. 116.61904[/tex]

Find the distance between the two points rounding to the nearest tenth (if necessary). (-6,5) and (3,-7)​

Answers

Steps:

Distance Formula = SQRT ( (X2-X1)^2 - (Y2-Y1)^2) )

Then,

X2: 3
X1: -6
Y2: -7
Y1: 5

Now,

D: SQRT ( (X2-X1)^2 + (Y2-Y1)^2) )
= SQRT ( (3+6)^2 + (-7-5)^2) )
= SQRT ( (9)^2 + (-12)^2) )
= SQRT ( 81 + 144 )
= SQRT ( 225 )
= 15

The Answer is 15 Units

The distance between points (-6,5) and (3,-7)​ is 15 units.

How to find the distance between two points?

In the coordinate plane, the points are denoted by coordinate and the distance means the physical distance between them.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Given the points  (-6,5) and (3,-7)​

Here x₁ = -6 , x₂ = 3

y₁ = 5 and y₂ = -7

So,

[tex]d = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {5 +7 } \right)^2 }[/tex]

d = √225

d = 15 units.

Hence "The distance between points (-6,5) and (3,-7)​ is 15 units".

To learn more about the distance between two points,

https://brainly.com/question/24485622

#SPJ2

the product of x and y is less than or egual to 4 written as an algebraic inequality.​

Answers

Answer:

(x*y)<4

Step-by-step explanation:

Answer:

xy≤4

I hope this helps!

3. Simplity: 1-7721
a. -772
b. - 7
c. 772
d. 72​

Answers

Answer:

1 - 7721 = -7220  so i don't really see the answer in the choices you gave.

Step-by-step explanation:

7220 that’s the answer hope it helps

help help help math math math

Answers

Answer:

75 degrees

Step-by-step explanation:

Well, I mean, that this is simple (I think) because a complementary angle is angles that add up to a 90 degree angle.

So if an angle is three times than another and add up to 90 degrees,

then it has to be 75 and 25 because 75+25=90 and 75/3=25 and 25x3=75.

Hope this is what you're looking for!

Answer:

hi

Step-by-step explanation:

Help please for brainliest

Answers

48 I just took the test :) you’re welcome

Write the number in
standard form
6 tens+7=

Answers

Answer:

60 + 7 =

Step-by-step explanation:

its correct lol omg sjsjsjjsjsjsssjsjsnsnssn

Answer:

Answer: 67

10 x 6 + 7 = 67

PLS HELP QUICKLY WILL GIVE BRAINLIEST

Answers

Answer:

the first one

Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist

Please help.. I’m stuck on this question

Answers

Answer: The answer is 1

Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.

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