The Precision Writing Instruments Company makes two pen designs - the Cordova design and the Savannah design. These data apply, regardless of which of two pen designs is being implemented. Materials cost per pen is $6. Labor cost per pen is $5. Production overhead is
$1,000,000. Advertising and promotion is $1,000,000. Marketing research has estimated the following demand functions for the next year of sales for the two pen designs where Q represents demand in thousands and P represents price. For the Cordova design, Q = 150 - 2.5P. For the Savannah design, Q = 175 - 2.1P. A penetration strategy is proposed for the Savannah design and a price of $25 is selected. What will be the profit or loss for the first year?

Answer:

a) The stone takes approximately 6.704 second to reach the ground.

b) The stone takes approximately 6.704 second to reach the ground.

c) The stone hits the ground at a velocity of -215.695 meters per second.

Step-by-step explanation:

a) The stone experiments a free fall, which is a uniform accelerated motion due to gravity and in which effects from air friction and Earth's rotation are negliglble. Then, the vertical distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:

[tex]y = y_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (1)

Where:

[tex]y_{o}[/tex] - Initial height of the stone, measured in meters.

[tex]v_{o}[/tex] - Initial velocity of the stone, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

If we know that [tex]y_{o} = 723\,ft[/tex], [tex]v_{o} = 0\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:

[tex]y = 723 -16.087\cdot t^{2}[/tex] (2)

b) If we know that [tex]y = 0[/tex], then the time taken by the stone to reach the ground is:

[tex]723-16.087\cdot t^{2} = 0[/tex]

[tex]t = \sqrt{\frac{723}{16.087} }\,s[/tex]

[tex]t \approx 6.704\,s[/tex]

The stone takes approximately 6.704 second to reach the ground.

c) The function velocity is found by differentiating (2) once:

[tex]v = -32.174\cdot t[/tex] (3)

If we know that [tex]t \approx 6.704\,s[/tex], then the velocity when it hits the ground is:

[tex]v = -32.174\cdot (6.704)[/tex]

[tex]v = -215.695\,\frac{m}{s}[/tex]

The stone hits the ground at a velocity of -215.695 meters per second.

Given:

Considering only the factors of the form x - k.

To find:

The relationship between the k values and the zeros?​

Solution:

We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.

It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.

The relationship between the k values and the zeros is defined as

​k values = Zeros of the function

Therefore, the k values are to zeros of the function.

Answer:

Step-by-step explanation:

Here are the missing values;

Mean μ = 15.5 minutes

Standard deviation = 1.7 minutes

A Random sample of 90 completion

The sample mean = 15.4 minutes

Level of significance = 0.1

Then the following analysis can be made on the above study.

Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]

the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]  

Since, the value is less than, then this is a one-tailed test.

The Z test statistics can be computed as:

[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]

[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]

[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]

Z = −0.560

The critical value of Z at 0.1  level  of significance is:

[tex]Z_{0.1} = -1.28[/tex]

Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28

Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.

In order to have 4 kg, he must have 20/5 kg. Each bag is 2/5 kg, so 2/5 times 10 is 20/5 or 4kg. Therefore, he bought 10 bags of tangerines for the school party.

Answer:

i think B

Step-by-step explanation:

Answer:

-8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3x + 10 = 4

2 + 5x

Step 2: Solve for x

Step 3: Evaluate

Answer:

I think that answer is 5 or 35

Answer: Um, I think is [tex]\frac{x}{2-3}[/tex].

Step-by-step explanation:

Step-by-step explanation:

you should have to give more points for this answer

Answer:

Step-by-step explanation:

1 000 000 000 000 E12

Answer:

Step-by-step explanation:

0.000 000 000 001

Answer:

C. x > -3

Explanation:

The circle with no filling means it can not be equal

It goes ahead of -3 so it is greater than -3

Answer:

When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°. so yes

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

7/12= 14/24                                    14/24 + 7/24= 21/24                    

21/24= 7/8           1-7/8= 1/8

The fraction of the total number of puzzle pieces has not been used is 1/8.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sara and Harry are putting together a puzzle. Sara put together 7/12 of the puzzle pieces. Harry put together 7/24 of the puzzle pieces.

The fraction of the total number of puzzle pieces has not been used is calculated as,

7/12= 14/24      

21/24= 7/8        

1-7/8= 1/8

To know more about an expression follow

https://brainly.com/question/19961687

#SPJ2

Answer:

Step-by-step explanation:

For your first question,

Total percentage of people cheering for visiting team = 45%

Total percentage of people cheering for home team = 55%

Total number of people cheering = 1200

Therefore, the number of people cheering for visiting team = 45% of 1200

                                                                                                   = [tex]\frac{45}{100}[/tex] × 1200

                                                                                                   = 45 × 12

                                                                                                    = 540 people

For your second question,

Total number of questions = 75

Total percentage of the number of questions he completed = 36%

Percentage of the amount of questions left = 100 - 36 = 64%

Therefore, the number of questions left to complete = 64% of 75

                                                                                 = [tex]\frac{64}{100}[/tex] × 75

                                                                                 = [tex]\frac{64}{20}[/tex]  × 15

                                                                                 = [tex]\frac{64}{4}[/tex] × 3

                                                                                 = 16 × 3

                                                                                 = 48 questions are left

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation: ED 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

lol

...its 10

Step-by-step explanation:

1+1+1+1+1= 5

1+1+1+1+1= 5

5+5=10

Answer:

It will be

f(x)=x+4

Answer:

$8,400=amount of loan

Step-by-step explanation:

Key:

P=Money borrowed

T=5 years (time passed)

R=0.025 (interest rate)

I=$1050 (interest charged)

Formula: I=P*R*T

Work:

1,050=P*0.025*5

1,050=P*0.125

1,050/0.125=8,400

Check

8,400*0.025*5=1,050

(thank you 7th grade math last year haha)

Answer:

$0.44 each

Step-by-step explanation:

3.08/7 = 0.44

The required cost in dollars per orange is $0.44.

Given that,
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange is to be determined.

The ratio can be described as the proportion of the fraction of one amount towards others. e.g.- water in milk.

In mathematics, it deals with a number of functions according to the statements.

here,
Let the cost of 1 orange = $x
The grocery store sells a bag of 7 oranges for $3.08.
So for 1 orange,
x = 3.08 / 7
x = $ 0.44

Thus, the required cost in dollars per orange is $0.44.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

9514 1404 393

Answer:

  524,160

Step-by-step explanation:

Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:

  16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160

_____

The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.

Answer:

800,004,500

Step-by-step explanation:

Answer:

D (6,2)

Step-by-step explanation:

2x6+2=14 2x6= 12 12+2= 14

5x6-2=28 5x6=30 30-2=28

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

Answer:

D. 4

Step-by-step explanation:

∆VWZ ~ ∆VXY, therefore:

[tex] \frac{VW}{VX} = \frac{VZ}{VY} [/tex]

VW = 8

VX = 8 + WX

VZ = 18

VY = 27

Plug in the values

[tex] \frac{8}{8 + WX} = \frac{18}{27} [/tex]

Cross multiply

[tex] 8 * 27 = (8 + WX)*18 [/tex]

[tex] 216 = 144 + 18WX [/tex]

Subtract 144 from each side

[tex] 72 = 18WX [/tex]

Divide both sides by 18

[tex] 4 = WX [/tex]

WX = 4

Answer:

p=1/2

Step-by-step explanation:

If 9 is 1 half of 18 that means there is a 50% chance of you picking a pencil out of the pencil case

That is the answer. Hope it helps!