1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kifflom [539]
3 years ago
7

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 the company to make the maximum profit. y=-10x^2+689x-6775 The selling price should be $
Mathematics
1 answer:
sineoko [7]3 years ago
4 0

Answer:

x = $34.45

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       y = -10x^2 + 689x -6775

We are to determine the profit maximizing selling price ( x )

From the properties of a parabola equation of the form:

                      y = ax^2 + bx + c

The vertex ( turning point ) or maximum/minimum point is given as:

                     x = -\frac{b}{2a} \\\\x = - \frac{689}{2*(-10)} =  \frac{689}{20}\\\\x = 34.45

The profit maximizing selling price of widgets would be x = $34.45.

You might be interested in
Please help not sure what these are
Leviafan [203]

Answer:

I believe it's the first one

7 0
3 years ago
How many 1/6 are in 2/3?
mel-nik [20]

Answer:

It takes 4 one-sixth sized pieces to make the two-thirds. and we can see that there 1 \times 6 = 6 sixths in a whole.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Any thoughts im really confused on it
Alik [6]
The dots you see on step 1 and step 2 mean to multiply
 when you divide a fraction you actually multiply it then whatever you get you simplify it. simple :) hope it helped

4 0
3 years ago
Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard de
Agata [3.3K]

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

In point A:

\to df = n - 1 = 71-1= 70

In point B:

\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5

In point C:

For df = 70, the top 5% critical t score

tcrit = 1.666914479

Thus,

\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to  13.335315832 = (x - 81)\\\\\to  13.335315832 +81 =x \\\\\to x= 94.335315832

In point D:

For df = 70, the top 5% critical t score

tcrit = -1.666914479

\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\

In point E:

The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is

tcrit = -1.293762898

\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816

In point F:

The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is

tcrit = 1.293762898

\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\

5 0
3 years ago
new type of cell phone is being released to the public. The function below is used to predict f(t), the total sales in thousands
MrMuchimi

Answer:

40,000 units on the first day then 18% per week

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

f(t) = f(0)(1+r)^{t}

In which r is the rate of change, as a decimal.

In this question:

The number of phones sold in thousands of units per day, in t weeks since the date of release, is:

f(t) = 40(1.18)^{t}

Since f(0) = 40, it solds 40,000 on the first week.

The rate of percentage increase is:

1 + r = 1.18

r = 0.18

So an increase of 0.18 = 18% a week.

So the correct option is:

40,000 units on the first day then 18% per week

4 0
3 years ago
Other questions:
  • Please help with number 5.<br> Select all that apply.
    13·1 answer
  • The smithsons are going to Dallas,TX on vacation. They have traveled 1/3 of the total distance. If they traveled 126 miles,how f
    7·1 answer
  • If f(x) = 4x + 5, what is the value of f(-3)?<br> (1) -2<br> (3) 17<br> (2) - 7<br> (4) 4
    15·1 answer
  • Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and
    13·2 answers
  • Simplify the rational expression. State any excluded values.
    10·1 answer
  • the height of a tree was 12 feet. after a year, the tree's height increased 25%. what is the height of the tree after a year
    11·1 answer
  • At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better
    10·2 answers
  • Complete the function for this graph.
    6·1 answer
  • Factor the expression using the GCF 36+16
    15·2 answers
  • Reduce the following fraction to simplest terms 24/3 12/3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!