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 what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-x^2+73x-520
y=−x
2
+73x−520

Answers

Answer 1

Answer:

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5


Related Questions

Select ALL the numbers that are greater than 2.

Answers

Answer: B and D

8/9 • 2 = 1.77

13/11 • 2 = 2.36

3.7 • 0.5 = 1.85

hope this helped :)

Heya!
[tex] \underline{ \underline{ \text{Question}}} : [/tex] In the given [tex] \triangle[/tex] ABC , AE is the bisector of [tex] \angle[/tex] BAC. If BO [tex] \perp[/tex] AE and BM = MC , prove that OM [tex] \parallel[/tex] AC.

Answers

Answer:

this is your answer look it once.

Answer:

this is your answer look it once:

Help me what is the total volume I’ll mark brainliest!

Answers

Answer:

600 ft

Step-by-step explanation:

Mark as brainilest

And I'm only 80% sure that is the correct

Solve the equation. u+3=7

Answers

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

The discriminant if a quadratic equation is negative. One solution is 4 + 7i. What is the other solution? *
7 - 4i
4 - 7i
- 4 + 7i
7 + 4i

Answers

Answer:  B) 4 - 7i

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

Explanation:

When you have a quadratic in the form ax^2 + bx + c = 0, where a,b,c are real numbers, then a negative discriminant leads to having a pair of complex roots. The roots come in conjugate pairs meaning that p+qi is one root while p-qi is the other root. The p,q are real numbers.

In the case of 4+7i being one root, we have p = 4 and q = 7, since it matches with p+qi. The other root must be 4-7i since it matches with p-qi.

In short, we flip the plus to a minus when going from 4+7i to 4-7i. All of this applies when we have a,b,c as real numbers.

If we allowed a,b,c to be complex numbers, then the roots may not necessarily come in conjugate pairs.

A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?

Answers

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

Find the circumference of the circle.
A circle has diameter 9 centimeters.
9

Answers

Answer:

2.86478897565  or   3 (if rounded to the nearest whole number)

Step-by-step explanation:

How we find circumference by using diameter is divide the diameter by pi

SO 9 divide by pi equals 2.86478897565 or 3 (if rounded to the nearest whole number)

Can u mark me as brainlist? :)

HAVE A GREAT DAY!

determine the speed in metres per second if it takes 10 minutes to walk 1,2 kilometre​

Answers

Step-by-step explanation:

[tex]speed = \frac{distance}{time} \\ = \frac{(1.2 \times 1000)m}{(10 \times 60)s} \\ = \frac{1200m}{600s} \\ = 2 \frac{m}{s} [/tex]

Can someone explain it to me?

Answers

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.


A.5,8 and 4,5
B.5,8 and 4,3
D. 4,5 and 4,3

Please help

Answers

Answer:

b

Step-by-step explanation:

Please only answer if you can help!! Please look at the picture below

Answers

Answer:

3

Step-by-step explanation:

The graph doesn’t go left to x = 3, so the answer is 3

The total cost of an $85.73 meal with a 20% tip

Answers

Answer:

$102.9

Step-by-step explanation:

20% of 85.73 is 17.15

to finish, you’ll just need to add 85.73 with 17.15 to get you answer,

the total cost of the meal is $102.9

brainliest? ..if you don’t mind

Answer:

$102.876 or $102.88

Step-by-step explanation:

20%/100=0.20

85.73*0.20=17.146

85.73+17.146=102.876

uhh i dont understand but if you do all of these I will give you brainliest on all of your answers it

Answers

Answer:

Step-by-step explanation:

Which of the following represents a sum from the expression given?


A. 21
B. 2
C. 13x2
D. 13x2 + 8x

Answers

d.13x2+8x , possibly be ur answer

Gary can raise his credit score by ________.
A
never borrowing money

B
keeping his debt above 30% of his credit card limit

C
cutting up his credit card

D
paying his bills on time

Answers

Answer:

B keeping his debt above 30% of his credit card limit.

Match each correlation coefficient to the appropriate scatter plot. The line in each scatter plot is the least squares regression line. fo1 80- 52 504 40 3 30 24 19 18- 12 12 22 300 316 19 54 18 5 18 UN 30 18 54 60​

Answers

504 is the answer my guy

What is the Slope-Intercept Form of 16x + 4y = 44

Answers

Answer:

Y=-4x+11

Step-by-step explanation:

So first you gotta realize that slope intercept from is

y=mx+b

So you have the equation of

16x+4y=44 as the initial response

Now you just have to isolate it into the from of y=mx+b

SO first subtract 16x on both sides to isolate the 4y since its the initial response as y=mx+b

Then when that is done you should have the answer of

4y= 44-16x

Now You have to isolate the “y”.

By dividing 4 on both sides to get the new equation which will be

y= 11-4x

You can leave it like that or just move around the (x) to make it more plausible as the answer of y=mx+b

y= -4x+11

However you would put it,  that is the answer

y= -4x+11

And

y= 11-4x

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange. If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same? Round to the nearest whole number.

Answers

Answer:

75

Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

512 : 64

8 : 1

Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

600/x = 8/1

Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

What is the perimeter of the track, in meters?
Use π = 3.14 and round to the nearest hundredth of a meter




need help pls i only have 17 points im getting more though. ill give u 13.

Answers

Answer:

i think the answer is  (12*3.14 = 37.68cm is the circumference and 6^2*3.14 = 113.04cm2 is the area.)

Step-by-step explanation:

Answer:

maybe 127.30

Step-by-step explanation:

Find the missing term(s) of the geometric sequence: 39, a2 , 975, ... Hint: r can be positive or negative.

Answers

9514 1404 393

Answer:

  ±195

Step-by-step explanation:

For some common ratio r, your missing term satisfies ...

  39r = a2

  a2·r = 975

So, ...

  975 = 39r^2

  25 = r^2

  r = ±√25 = ±5

The missing term a2 = 39r could be either of 195 or -195.

Plzzzzzzzzzzzzzzz help

Answers

Answer:

(5,4)

Step-by-step explanation:

....................

Can someone help me please

Answers

Answer:

The volume of this figure is approximately 418.88 centimeters squared!

Step-by-step explanation:

The volume for a right circular cone is V = (π)(r^2)(h/3)

Substituting known values is as follows:

V = (π)(r^2)(h/3)

V = (π)(4^2)(25/3)

V = (π)(16)(25/3)

V ≈ 418.88 cm^3

identify all the numbered angles that are congruent to the given angle.​

Answers

Answer:

1, 4, and 7

Step-by-step explanation:

1, 7, 4

Opposite angles are congruent

I need help with please

Answers

Step-by-step explanation:

1. Formula for simple interest,

[tex]a = p(1 + rt)[/tex]

where

a = Final amount

p = Principal amount

r = annual interest rate

t = time in years

given p = 1250

r = 4.25/100 (r is a raw number, not percentage, so we need to divide 100 here to get the raw number)

t=4

Substitute values into formula to get a.

[tex]a = 1250(1 + (\frac{4.25}{100})(4)) \\ = 1250(1 + 0.17) \\ = 1250(1.17) \\ = 1462.50dollars[/tex]

Let's use the simple interest to calculate Henry's final amount first.

p = 5000

r = 4.2/100

t = 4

[tex]a = 5000(1 + ( \frac{4.2}{100} )(4)) \\ = 5000(1 + 0.168) \\ = 5000(1 .168) \\ = 5840 \: dollars[/tex]

To calculate the interest paid, just use the final amount minus the principal amount

[tex]a - p = 5840 - 5000 \\ = 840dollars[/tex]

Now we will do the exact same method for Ingrid.

p = 5,000

r = 3.9/100

t = 6

[tex]a = 5000(1 + ( \frac{3.9}{100} )(6)) \\ = 5000(1 + 0.234) \\ = 5000(1.234) \\ = 6170 \: dollars[/tex]

[tex]a - p = 6170 - 5000 \\ = 1170dollars[/tex]

Difference in interest between 2 of them =

Interest of Ingrid Loan - Interest of Henry Loan

= 1170 - 840

= $330

Can someone please help me with these couple of questions!

Answers

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

At Penny's Pie Shop, it costs $4 for
1
4
of a pie. What is the cost of a whole pie?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer:

$16

Step-by-step explanation:

$4 for 1/4 of a pie, means that it isn't an entire pie. Luckily for us, this is simple multiplication. You would multiply like so:

4 x 4 = 16

And you'd get your answer, since 4/4 equals 1 whole.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

When solving a quadratic equation, what do the x-values stand for as it relates to plotting the graph of the equation?
a.
x-intercepts
c.
minimum value
b.
vertex
d.
axis of symmetry
NOT D

Answers

x means an axis of symmetry

Answer:

the answer should be 'd'

Find the height of the trapezoid

Answers

Write A=h(b1+b2)/2, where A represents the trapezoid's area, b1 represents one of the base lengths, b2 represents the other base length and h represents the height. Rearrange the equation to get h alone. Multiply both sides of the equation by 2 to get. 2A=h(b1+b2).

4. The Conner family has created a budget for their $3,000 monthly income. Based on the budget below, which statement is not true? RENT FOOD UTILITIES CAR INSURANCE SAVINGS AMOUNT (5) $900 $550 $200 $300 $450 $600

F. the car accounts for 10% of the budget

G. the rent and savings account for more than 50% of the budget

H. savings accounts for 20% of the budget

J. insurance accounts for 15% of the budget​

Answers

Answer:

i have the same question

Step-by-step explanation:

i have the same question

the answer is G i just did this

Complete the steps to solve the equation - 12x - 14 = - 86.
- 12x - 14 = - 86
- 12x =
Write the original equation.
Apply the Addition Property of Equality.
Apply the Division Property of Equality.
X =

I just need the answers for what -12x= and x=

Answers

Answer:

x=6

Step-by-step explanation:

-12x-14=-86

-12x+12=+14

-12x=-72

-12/-12x=-72/-12

x=6

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