A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y = -8x2 + 242x – 1056

Answers

Answer 1

Answer:

774 dollars

Step-by-step explanation:

Given the amount of profit, y, made by the company, is related to

the selling price of each widget, x, by the given equation

y = -8x^2 + 242x – 1056

The company made her maximum profit when dy/dx = 0

dy/dx = -16x + 242

0 = -16x + 242

16x = 242

x = 242/16

x = 15.125

Get the maximum amount of the profit

Substituting x = 15.125 into the function we have:

y = -8(15.125)^2 + 242(15.125) – 1056

y = -8(228.77)+3,660.25-1056

y = -1,830.09+3,660.25-1056

y = 773.91

Hence the maximum amount of profit the company can make, to the nearest dollar is 774 dollars


Related Questions

Help I will mark brainly

Answers

Answer:

Use M A T H W A Y. It helps.

Answer:

A) -9.8 × (-23.5)

Step-by-step explanation:

negative × negative = positive

negative × positive = negative

positive × positive = positive

The answer choices are

16/25

-4/25

-16/5

4/5

Answers

It’s -4/25 I’m sure

Which expression is equivalent to

Answers

Answer:

B

Step-by-step explanation:

Help with all questions in this pic

Answers

Answer: 2.)  3 and 6 = 33.)  24 and 30 = 64.)  9 and 27 = 9

Brianna buys 10 balloons for her sisters. She gives 5 balloons to each sister and has none left. How many sisters doe Brianna have?​

Answers

Answer:

2

Step-by-step explanation:

10-5=5

5-5=0

I need help-


if a ladder is to reach a height of 5.6m, the base must be at least 1.4m from the wall. How long should the ladder be in order to meet this safety regulations?

Answers

Base x height divided by 2 I think this is correct

Answer:

≈ 5.72 m

Step-by-step explanation:

Use Pythagorean as the ladder is going to be a hypotenuse of a formed right triangle with legs of 5.6 m and 1.4 m

Ladder length:

√5.6² + 1.4² = √32.76 ≈ 5.72 m rounded

I WILL GIVE THE REST OF MY POINTS (100 SOMETHING) TO THE PERSON WHO ANSWERS THIS RIGHT BY CREATING A NEW QUESTION AND ALSO WILL GIVE BRANLIEST
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play.
Each pair of wings is made with yard of fabric. The fabric costs $8 per yard.
You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
1. Use multiplication to write an expression for the amount of fabric needed to make 13 pairs of wings.
2. Multiply the amount of fabric by the price per yard to find an expression for the total cost.
3. Use the associative and commutative properties to rearrange the terms in the expression to make it easier to calculate. Explain why the rearranged expression is easier to work with.
4. Simplify your expression to find the total cost. Show your work​

Answers

Step-by-step explanation to answer:

So, the unit rate is $8 per yard of fabric now we need a expression which will be 13 times 8. 8 times 10 is 80 and 8 times 3 is 24. 80+24 is 104. We did associative, now we need communative. We will still get the answer to the question as we did with associative which will be 8 times 3 is 24 and 8 times 10 is 80. add that and we will get 104.


19 dozen cookies to individual cookies

Answers

Answer:

228 individual cookies.

Step-by-step explanation:

To convert 19 dozen cookies to individual cookies, we first have to identify that:

[tex]dozen=12[/tex]

If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:

[tex]19*12=[/tex]

[tex]228[/tex]

Therefore, there are 228 individual cookies.

-

We can check our  work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:

[tex]228[/tex] ÷ [tex]19=12[/tex]

[tex]228[/tex] ÷ [tex]12=19[/tex]

As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!

51. (08.02 MC) Box A has a volume of 48 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were doubled. What is the volume of Box B? (1 point)

Answers

Answer:

384 m³

Step-by-step explanation:

Let the dimension of box a be l,b, and h.

ATQ,

lbh = 48 .....(1)

If we double the dimension of box A, we get box B whose new dimensions will be 2l,2b and 2h.

Let V be the volume of box B.

V = (2l)(2b)(2h)

V = 8(lbh)

= 8(48) [from equation (1)]

= 384 m³

Hence, the volume of the box B is 384 m³.

find tan a in a triangle
a 20/21
b 21/29
c 21/20
d 20/29

Answers

Answer:

Option C

Step-by-step explanation:

By applying tan rule in the given triangle ABC,

tan(a) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

         = [tex]\frac{BC}{AC}[/tex]

         = [tex]\frac{21}{20}[/tex]

Therefore, Option C is the correct option.

i need help asap ill give brainlest

Answers

Denominators= 4 and 6.

LCM of 4 and 6= 12

So, The answer is 12

Hope it helps!

Answer:

The least common denominator of 1/4 and 5/6 is 12

Step-by-step explanation:

Multiples of 4: 4, 8, 12, 16, 20, 24...

Multiples of 6: 6, 12, 18, 24, 30, 36...

16a² − 25?? please help

Answers

Answer:

(4a - 5)(4a + 5)

Step-by-step explanation:

Assuming you require to factor the expression

Given

16a² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

16a² - 25

= (4a)² - 5²

= (4a - 5)(4a + 5) ← in factored form

Answer100 POINTS! (50 split up) PLSSSSSTO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!

You measure the mass of an apple using a balance.

Please I really need help

Answers

Answer:

it would be 1/3

Step-by-step explanation:

Answer: 1/3 chance

Step-by-step explanation:

In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3

Help please it’s urgent!

Answers

the correct answer is a, hope this helps

which expression is equivalent to the expression shown below?
-1/2(-3/2x + 6x + 1) - 3x

A) 3/2x - 1/2
B) 6 3/4x - 1/2
C) -3/4x + 1/2
D) -5 1/4x - 1/2

Answers

Answer:

vcbnvjhgbvnhtrgbhj hy6tyuk

Step-by-step explanation:

The correct answer is:  [D]: " (-5 )x − " .

_________________________________________________________

Explanation:

_________________________________________________________

" -1/2(-3/2x + 6x + 1) − 3x " ;

=  (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) − 3x ;  

=   [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] − 3x ;  

=   [ (3/4)x − 3x − (1/2) ] − 3x ;  

=   (3/4)x − 3x − (1/2) − 3x ;  

= ?? ;   →  Combine the "like terms" ;  

          → "(3/4)x − 3x − 3x " =   ?? ;

                        → "(3/4)x − 3x = "(-9/4)x";

                        → "(-9/4)x − 3x = "(-21/4)x "  =  " (-5 )x " ;  

→  The answer is:  " (-5 )x −  " ;  

___________________________________________________

→   which is:

___________________________________________________  

→   Answer choice:  [D]:  " (-5 )x −  " .

___________________________________________________

PLEASE HELP ME OUT I NEED THIS BY TONIGHT!!!!
A tree is 6 feet high. Each year, x, it grows 2 feet. Write an equation to model the height, y, of the tree after x years. What is the height of the tree after 7 years?

Answers

Answer:

1) y=2x+6

Step-by-step explanation:

2) y=2×7+6=20ft

Answer:

y = 2x + 6 and the height is 20 feet after seven years.

Step-by-step explanation:

Hello we meet again.

You substitute the x with 7 and then it will be 2(7)+6. 2 times 7 is 14 plus 6 equals 20 so good luck.

If you borrow 700$ for five years at a annual interest rate of 7%, how much will you pay all together

Answers

Answer:

$2,245.

Step-by-step explanation:

Your interest will have grown to  $2,245 dollars and you will have earned $1,545.

Hope this helped

Lana has 6 bags with 3 candy bars in each bag. Markus has 3 bags with 4 candy bars in each bag. How many more candy bars does Lana have?

Answers

Answer:

Lana has 6 more candy bars than Markus.

Step-by-step explanation:

Lana has 6 bags, each with 3 candy bars. To find the total amount you multiply 6 by 3 which is 18. Markus has 3 bags, each with 4 candy bars, to find the total amount you also multiply 3 by 4 which is 12. Now you subtract:       18-12=6. So Lana has 6 more candy bars than Markus.

Answer:

Lana has 6 candy bars more than Markus

Step-by-step explanation:

6 x 3 = 18

3 x 4 = 12

18 - 12 = 6

what's greater than -1

Answers

Answer:

hi its 1

Step-by-step explanation:

Answer:

0 and above

Step-by-step explanation:

Hope this helps.

Anna drives 45 km to work each day.
One day she drives the first 25 km at an average speed of 82 km/h. She takes 36 minutes to drive the remaining distance.
Calculate her average speed, in km/h, for the whole journey.

Answers

Answer:

Anna drove at an average speed of 49.73 km/h

Step-by-step explanation:

Average Speed

If an object moves at different speeds to cover a certain total distance dt in a total time tt, the average speed is:

[tex]\displaystyle \bar v=\frac{d_t}{t_t}[/tex]

Anna drives a total distance of dt=45 km each day. One day she drives a distance of d1=25 km at v1=82 Km/h. The time taken for that distance is:

[tex]\displaystyle t_1=\frac{d_1}{v_1}=\frac{25}{82}=0.3049\ h[/tex]

She takes t2=36 minutes to drive the remaining distance. 36 minutes is 36/60=0.6 h, thus the total time is:

[tex]t_t=0.3049\ h+0.6\ h=0.9049\ h[/tex]

The average speed is:

[tex]\displaystyle \bar v=\frac{45}{0.9049}=49.73\ km/h[/tex]

Anna drove at an average speed of 49.73 km/h

A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11)cm.
Show clearly that x^2+12x-220=0
Solve by factorisation, making sure you show the factorisation. Find the dimensions of the cuboid.

Answers

Answer:

Dimensions = 4cm, 11cm and 21cm

  OR

Dimensions = 4cm, -21cm and -11cm

Step-by-step explanation:

Solving the quadratic equation by using the factorization method;

x² + 12x - 220 = 0

Factors = 22 and -10

x² + 22x - 10x - 220 = 0

x(x + 22) - 10(x + 220) = 0

(x - 10)(x + 22) = 0

Therefore, x = 10 or x = -22

Given the following data;

Length of one side = (x + 1)cm

When x = 10

Length of one side = (10 + 1)cm

Length of one side = 11cm.

When x = -22

Length of one side = (-22 + 1)cm

Length of one side = -21cm

Length of the other side = (x + 11)cm

When x = 10

Length of the other side = (10 + 11)cm

Length of the other side = 21cm

When x = -22

Length of the other side = (-22 + 11)cm

Length of the other side = -11cm

Check;

Volume of a cuboid = L*L*L

Volume of a cuboid = 4 * 11 * 21

Volume of a cuboid = 924cm³

( • )( • )ԅ(‾⌣‾ԅ)( • )( • )ԅ(‾⌣‾ԅ)( • )( • )ԅ(‾⌣‾ԅ)

Answers

BEHJEJEBEHRUUE what is this eheujrf

can anyone please help i am stuck on this question?

Answers

Answer:

8/17

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the ratio.

Step 2: Identify

POV from angle S

Adjacent = 8

Hypotenuse = 17

Step 3: Write

Substitute [cosine]:                    cos(s) = 8/17

Vera owns 17 pairs of socks how many socks does have in all

Answers

We know that 2 socks are in a pair. Hence, the rate would be like this: 2 socks/pair. We could also represent it as a ratio and fraction. I will choose the fraction form.

             x 17

2 socks   =    34 socks

1 pair    x 17   17 pairs

Therefore, if Vera owns 17 pairs of socks, she will have 34 socks in total.

N EED ANSWER NOW ON TIMER PLASERA

Answers

Answer:

17/190

Step-by-step explanation:

Its correct

Answer:

D

Step-by-step explanation:

1 x 17 = 17

10 x 18=180

so it's 17/180

i’m being timed !!!
Given the function f(x) = -x^2 + 4x + 6, determine the average rate of change of
the function over the interval -4 < x < 7.

Answers

Step-by-step explanation:

I dont know the answer but I know you should make a graph for it and it will tell u the answer I will try and take a photo

Option on 1 blank

(2x-1)(x+9)
3x(x-9)
X+7
(2x+1)(x-9)

2 blank

3x(2x+1)
X-7
3x(x+7)
X+7


3 blank

-7
9
0
-0.5
0.5


Answers

Answer:

0.5

Step-by-step explanation:

x + y = 8
Let x = -1. What is y?
Enter the correct answer
DONE
Il?

Answers

Answer:

y = 9

Step-by-step explanation:

x + y = 8

-1 + y = 8

y - 1 = 8

Add one to both sides to isolate y.

y = 9

Have a great day!

Hi, I am doing math at home, and I was confused on this problem. Thank you for helping.

Answers

Answer:

simplified the answer ( i think) is [tex]-\frac{3}{56}[/tex]

Step-by-step explanation:

Thank you for being so polite you were when u asked ur question, really hope this helps


Which of the following lines is perpendicular to the line y = 3x - 4?
O y = 3x + ]
O y= - 4x + 4
O y = *- 6
O y = - 3x + 9

Answers

Answer:

it should be this

Step-by-step explanation:

y= 1/3 and then -4

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