A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $6 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $14 per order as well as $7 per shoe pair. The retail store sells 1750 shoe pairs each year. Find a function that models the total inventory costs as a function of x x the number of shoe pairs in each order from the manufacturer

Answers

Answer 1

The total inventory costs consist of two parts: the cost of storing the shoes and the cost of reordering the shoes. The cost of storing the shoes is given by the formula:

Cost of storing = $6 per shoe pair per year x number of shoe pairs

Since the shoes are stored for a year, this cost is incurred annually. The cost of reordering the shoes is given by the formula:

Cost of reordering = $14 per order + $7 per shoe pair x number of shoe pairs

This cost is incurred each time the store places an order with the manufacturer.

Let x be the number of shoe pairs in each order from the manufacturer. The number of orders needed to sell 1750 shoe pairs each year is given by:

Number of orders = 1750 shoe pairs / x shoe pairs per order

The total inventory costs can be expressed as:

Total cost = Cost of storing + Cost of reordering

Substituting the formulas for the two costs and the expression for the number of orders, we get:

Total cost = $6 per shoe pair per year x 1750 shoe pairs + ($14 per order + $7 per shoe pair x x shoe pairs) x (1750 shoe pairs / x shoe pairs per order)

Simplifying this expression, we get:

Total cost = $10,500 + $14(1750/x) + $7(1750)

Total cost = $10,500 + $24,500/x

Therefore, the function that models the total inventory costs as a function of x is:

Total cost(x) = $10,500 + $24,500/x

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Related Questions

help ME PLEASE HELP ME I HATE MATH I HATE IT YOU DONT NEED TO EXPLAIN IT I JUST NEED AN ANSWER

help ME PLEASE HELP ME I HATE MATH I HATE IT YOU DONT NEED TO EXPLAIN IT I JUST NEED AN ANSWER

Answers

Answer:

674

Step-by-step explanation:

Answer:

woah woah woah woah calm down there buddy its 674 :)

Rita borrowed $7500 at an interest rate of 3%. The interest paid is $1462.50.
For how many years did she borrow the money?
will mark brainliest

Answers

Answer:

6.5 years

Step-by-step explanation:

Simple interest formula:  \(A=P(1+rt)\)

where:

\(A\) = final amount\(P\) = principal amount\(r\) = annual interest rate (as a decimal)\(t\) = time (in years)

Given:

\(A = 7500 + 1462.50 = 8962.50\)\(P = 7500\)\(r = 3\% = 0.03\)

\(\implies 8962.5=7500(1+0.03t)\)

\(\implies t=\dfrac{100}{3}\left(\dfrac{8962.5}{7500}-1\right)\)

\(\implies t=6.5\)

Therefore, she borrowed the money for 6.5 years

8.65 percent compounded monthly. (Round answer to 2 decimal places, e.g. 15.25%.) Effective annual rate \%

Answers

The effective annual rate for a 8.65% interest compounded monthly is 9.14%.

To calculate the effective annual rate, we need to take into account the compounding frequency. In this case, the interest is compounded monthly.

We can use the formula for compound interest to calculate the effective annual rate:

Effective Annual Rate = (1 + (interest rate / compounding frequency))^compounding frequency - 1

Plugging in the given values:

Effective Annual Rate = (1 + (8.65% / 12))^12 - 1

                     = (1 + 0.0072083)^12 - 1

                     = 1.0072083^12 - 1

                     ≈ 0.0914 or 9.14%

Therefore, the effective annual rate for a 8.65% interest compounded monthly is approximately 9.14%.

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3/5 converted to a decimal and percent. pls show work

Answers

Answer:

0.6

Step-by-step explanation:To find this answer, you must thinkk of the slash inbetween the numerator and the denominator. So divide the 3 bye the 5. Use a calculator if needed. 3/5=0.6 Hope this helped plz mark brainliest.

Find the radius of a circle in which the central​ angle, a, intercepts an arc of the given length s. a = 120°, s =9 ft

Answers

The radius of the circle is 1.3636...ft (approx).

Given, the central angle a = 120° and the arc length s = 9 ft.

The formula to find the radius of a circle is given as:  R = (180 × s)/(π × a)

Where, R = radius of the circle

a = central angle in degrees

s = arc length

π = 3.14

Substitute the given values in the formula, R = (180 × 9)/(3.14 × 120)R = 1.3636...ft (approx)

Therefore, the radius of the circle is 1.3636...ft (approx).

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3(2-4x)=-30 with justfity steps

Answers

Answer:

x = 3

Step-by-step explanation:

3(2 - 4x) = -30

=>6 - 12x = -30

=> 12x = 36

=> x = 3

what is the volume of the square pyramid with the square base that is 7 centimeters by 7 centimeters and the height is 8 centimeters? round the answer to the nearest hundredth.

Answers

Answer:c

Step-by-step explanation:

i did the test

A package of 11 sliced oranges cost $6.27. How much would a package with 19 sliced oranges cost at the same price per slice?

Answers

Answer:

$10.83

Step-by-step explanation:

Which of the following is an acceptable way to express the useful life of a depreciable asset?a.Expected number of units to be produced by the depreciable asset b.Expected number of hours the depreciable asset will remain productive .c .Expected number of miles a depreciable vehicle will be driven d.Expected life in years of the depreciable asset

Answers

d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.

The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.

While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.

Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.

It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.

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Write an equation of the form x^2+bx+c=0 in standard form with solutions of x=-3 and x=8

Answers

To find an equation in standard form with solutions x = -3 and x = 8, we can use the fact that the solutions of a quadratic equation are the values where the equation equals zero.

If x = -3 is a solution, then (x + 3) = 0 is a factor of the quadratic equation.
If x = 8 is a solution, then (x - 8) = 0 is a factor of the quadratic equation.

To find the equation, we can multiply these factors together:

(x + 3)(x - 8) = 0

Expanding this product, we get:

x^2 - 8x + 3x - 24 = 0

Combining like terms:

x^2 - 5x - 24 = 0

Therefore, the equation of the form x^2 + bx + c = 0 with solutions x = -3 and x = 8 is:

x^2 - 5x - 24 = 0

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Prove: An odd number cubed is an
odd number.
n +
(2n + 1)3 = [ 2 ]n3 + [ ]n2 + [
[](4n3 + 6n2 + 3n) +
= an odd

Answers

Let n be any odd integer. Then n = 2k + 1 for some integer k.

So

n ³ = (2k + 1)³

… = (2k)³ + 3 (2k)² + 3 (2k) + 1

… = 8k ³ + 12k ² + 6k + 1

… = 2 (4k ³ + 6k ² + 3k) + 1

is also odd, since 4k ³ + 6k ² + 3k is just another integer.

What is the slope of the given slide?

What is the slope of the given slide?

Answers

Use Pythagoras theorem:
a^2 = b^2 + c^2
-15^2 + 18^2 = a^2
a^2 = 99
a = root of 99

\(\text{Slope,~} \tan \theta  =\dfrac{15}{18}=\dfrac 56\)

The ratio of oxygen atoms to sulfur
atoms in sulfur dioxide is always the same.
The table shows the numbers of atoms
in different quantities of sulfur dioxide.
Complete the table. (Explore Activity 1)

Answers

The complete table is

Sulfur atoms         6     9     12   27

Oxygen atoms     12    18    24   54    

         

What are Ratios:  

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.

A ratio can be compared by the division of two numbers. For example, the ratio of a and b can be represented as a: b and read as a is to b. Here a: b can be written as a/b

Here we have  

The ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same. The table shows the number of atoms in different quantities of sulfur dioxide.  

The given table is

Sulfur atoms         6     9     12   ___

Oxygen atoms     12    __   ___   54      

Let x, y, and z be the missing values in the table

Given that ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same.  

=> 12/6 = x/9 = y/12 = 54/z    

Now the x, y, and z values can be calculated as follows

Take 12/6 = x/9  

=> 2 = x/9    

=> x = 18  

Take 12/6 = y/12  

=> 2 = y/12

=> y = 24

Take 12/6 = 54/z  

=> 2 = 54/z

=> z = 54/2

=> z = 27    

Therefore,

The complete table is

Sulfur atoms         6     9     12   27

Oxygen atoms     12    18    24   54      

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The complete Question is given in the picture

     

 The ratio of oxygen atoms to sulfuratoms in sulfur dioxide is always the same.The table shows the numbers

how many bit strings of length seven either begin with two 0s or end with three 1s?

Answers

There are 40 such bit strings.

To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.

Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.

Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.

The size of A can be calculated as follows:

since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,

so there are \(2^5 = 32\) possible strings that begin with two 0s.

Similarly, the size of B can be calculated as follows:

since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,

so there are\(2^4 = 16\) possible strings that end with three 1s.

However, we have counted the strings that both begin with two 0s and end with three 1s twice.

To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.

The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,

where the x's can be any combination of 0s and 1s.

There are \(2^3 = 8\) such strings.

Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:

|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.

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evaluate the expression above to find the probability that exactly 5 of the ten individuals in the sample have consumed alcohol. round your answer to three decimal places.

Answers

To evaluate the expression, we need to use the binomial distribution formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where:


- n is the sample size (10 individuals in this case)
- k is the number of individuals who have consumed alcohol (5 in this case)
- p is the probability of an individual consuming alcohol, which is 0.6 according to the problem

If you provide the value of p, I can help you calculate the probability.

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solve in attachment....​

solve in attachment....

Answers

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

\(\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx \)

Here 5 is a constant so it can come out . So that,

\(\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx \)

Now we can write √x as ,

\(\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx \)

Simplify ,

\(\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx \)

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

\(\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) \)

On simplifying we will get ,

\(\longrightarrow \underline{\underline{ I = 2 }}\)

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

\( \displaystyle \int_{0} ^{1} 5x \sqrt{x} dx\)

use constant integration rule which yields:

\( \displaystyle 5\int_{0} ^{1} x \sqrt{x} dx\)

notice that we can rewrite √x using Law of exponent therefore we obtain:

\( \displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx\)

once again use law of exponent which yields:

\( \displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx\)

use exponent integration rule which yields;

\( \displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1} \)

simplify which yields:

\( \displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1} \)

recall fundamental theorem:

\( \displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)} \)

simplify:

\( \displaystyle 2 \)

hence

our answer is A

344/299 = x
what is x?

Answers

Answer:

Mixed Number Form: x = 1 45/299

Decimal Form: x = 1.15050167…

Step-by-step explanation:

The answer is 344 / 299 = 115.05%, X=115.05%

Suppose y = – 3x2 – 15x – 11 was written in the form y = a(x – h)2 + k.
What is the value of a?

a) = -5

b) a= -3

c) a = 5

d) a = -11

Answers

Answer:

  b)  -3

Step-by-step explanation:

You want the value of 'a' when the quadratic y = –3x² – 15x – 11 is written in the form y = a(x – h)² + k.

Leading coefficient

The leading coefficient in either form is the coefficient of x². It is the same in both forms: -3.

Ramon earns $1,710 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month? SHOW WORK!

Answers

Answer:

3.1% of Ramon's earning are spent on electricity.

Step-by-step explanation:

Ramon's monthly salary

= $1,710

Electricity rent

=$53.60

*work show below*

\(\frac{53.60}{1,710} *100\)

0.0313450292397661*100=3.134502923976608

3.134502923976608 rounded to the nearest tenth is 3.1%...

Thus my-our answer checks out! have a great day bestie!

A 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript degree binomial with a constant term of 888 Choose 1 answer:

Answers

The possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888, for the given one degree of freedom.

To find a 3rd degree binomial with a constant term of 888, we can start by writing the general form of a 3rd degree binomial: ax^3 + bx^2 + cx + d.

Since we want the constant term to be 888, we can set d = 888.

Now, we need to choose values for a, b, and c. We have one degree of freedom, so we can choose any values for a, b, and c as long as they satisfy the condition of being a 3rd degree binomial.

For example, let's choose a = 1, b = 2, and c = 3.

Therefore, a possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888.

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the sum of a number and two thirds the number is the same as 4 less than twice the number

Answers

12

Step-by-step explanation:

n + (2/3)n = 2n - 4

(5/3)n = 2n - 4

(5/3)n - 2n = -4

(-1/3)n = -4

n = 12

Becky is 7 year older than half of Bryan's age. If Bryan is 36 how old is becky ?

Answers

Answer: Im going to guess 25

Step-by-step explanation: bryan is 36 half of 36 is 18 and becky is 7 years older than 18 which half so you would do 18+7=25 there is your answer.

I THINK DONT QUOTE ME ON THAT ANSWER

Someone please help me to solve this (8.99 x 10^9) (3 x 10^-5) (-6 x 10^-5)

Answers

Answer:

(8.99 x 10^9)(3 x 10^-5)(-6 x 10^-5)
(8.99 x 3)(10^9 x 10^-5)(-6 x 10^-5)
26.97 x 10^9-5(-6 x 10^-5)
26.97 x 10^4(-6 x 10^-5)
2.697 x 10^5(-6 x 10^-5)
-16.182

A school swim team has 36 swimmers. The ratio of seventh graders to eighth graders is 2 to 7. How many seventh grade swimmers are there? 9​

Answers

There are 8 seventh graders swimmers

Part A
The amount of money you bring in from selling balloons is called revenue. Construct and
solve a model to determine the number of balloons you will need to sell to have revenue
of $40. Be sure to define your variables.

HELP

Answers

Answer:

As the sucrose concentration is higher in the solution, the water in the balloon, where the sucrose is less concentrated, will tend to leave and try to dilute the outer solution until both sucrose concentrations are equal. But as the water leaves the balloon, the concentration inside will increase, so it will flow outside until both concentrations are equal and not until the outer concentration is similar to the initial concentration in the balloon.

Step-by-step explanation:

Hope this helps:)

Alexandra is fishing from a small boat. A fish swimming at the same depth as the hook
at the end of her fishing line is 5 meters away from the hook. If Alexandra is 13 meters away
from the fish, how far below Alexandra is the hook?

Alexandra is fishing from a small boat. A fish swimming at the same depth as the hookat the end of her

Answers

Answer:

12 m

Step-by-step explanation:

Here's a picture to show the problem.

                                        boat

                    --------------------------------------------

~~~~~~~~~~~\                                              /~~~~~~~~~~~~~~~~~~~~~~~~

                       \-----------Alexandra ---------/          surface of the water

                                          |\                              

                                          |     \

                                          |          \

                                          |               \

                                  d      |                   \      13 m

                                          |                        \

                                          |                            \

                                          |                                \

                                          | ---  rt <                         \

                          hook      -----|------------------------------    fish

                                                           5 m

There is a right angle at the hook. We have a right triangle with leg d, the distance we need to find, leg 5 m, and hypotenuse 13 m.

a² + b² = c²

5² + b² = 13²

25 + b² = 169

b² = 144

b = √144

b = 12

Answer: 12 m

Brandon bought 21 chicken wings for $39.90. How much would it cost for 15 wings?

Answers

Answer:

$28.50

Step-by-step explanation:

21 chicken wings= $39.90

1 chicken wing= 39.90÷21= $1.90

15 chicken wings= 15×1.90= $28.50

help me with dis question please

help me with dis question please

Answers

The area of the given figure is 20cm².

What is a kite?

A quadrilateral called a kite has two pairs of sides that are each the same length and are next to one another.

What is area of a kite?

A kite's diagonals are perpendicular. The area of a kite is calculated as half of the diagonal product, which is the same as the area of a rhombus. The formula: can be used to express the area of a kite.

Area of Kite =1/2×D1×D2

D1 is the kite's long diagonal.

D2 is the kite's short diagonal.

when we draw the figure in coordinate system we find that it is shape of a kite,

so area of kite = 1/2*4*4+1/2*4*6

                         = 20 cm²

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WHAT IS THE ANSWER PLZ HELP

WILL GIVE BRAINLIEST FOR CORRECT ANSWER!

WHAT IS THE ANSWER PLZ HELPWILL GIVE BRAINLIEST FOR CORRECT ANSWER!

Answers

B is the answer. always look for the characteristics of a parallelogram. maybe that will help

There are 300 students in the 9th grade and each student is assigned a locker. The 300 students start down the hall one at a time. The first student opens every locker. The second student closes all the lockers that are multiples of 2. The third student changes the lockers that are multiples of 3 (which means if a locker is closed, they open it. If the locker is open, they close it.) The fourth student changes all the lockers that are multiples of 4. This continues until the 300th student changes the 300th locker. Then, the principal walks down the hall, and changes all the lockers that are prime numbers. At the end, how many lockers will be closed?

Answers

Answer:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289

Step-by-step explanation:

The pattern will lead to the answer being all the perfect squares from 1 to 300.

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(c) which sprinter was ahead at the 6.00-s mark, and by how much? please help!!! thank you The Cottage"In life, you can reject change or go with the flow, and you'll be content if you can learn to roll with it, Francisco," his grandmother had always advised."Easier said than done," Francisco muttered to himself as he stopped his bike with a gentle pat of his foot against the dirt path that led to the cottage.He was stopping to sit back on the seat of his bike and just look at the cottage. He tried to look without seeing the "For Sale" sign that his father had just driven into the rose garden last night. Watching Pops drive the sign into the ground was like having a cold knife driven into his back. The prospect of leaving the cottage made Francisco feel like he'd been slapped down by a cold wave on a hot beach; this little house by the sea had been his home since he was two.imageHis family had moved to this seaside town twelve years ago when it had still just been a village. Now, Francisco felt that developers were slowly encroaching on the town's limits. Francisco thought the developers were monsters, greedily devouring the wide stretches of unsoiled beaches and empty grassy meadows. The thing that seemed so wrong to him was that they were only going to fill these beautiful, clean spaces with malls, grocery stores, gas stations, and fancy hotels. Why such destruction and not even to give people homes? He knew that because he'd been listening furtively at his door as his parents and grandmother had talked late into the night. He should've been sleeping, but he had to know, had to listen to the plans, the reasons, to try to make some sense of this senseless farewell."I want to get out before the developers knock on the door," his mother had said, "and I don't want to be here when the bulldozers come into town."There had been a note of despair in her voice, oddly mixed with a smile. She always smiled when she was worried about something. Francisco wished he could be as positive about the sale of the cottage. After a few minutes of just looking at the cottage, memorizing its smallness, its brown roof, white sides, red door, and brass knocker, he pedaled off toward the beach. He'd brought a bucket and spade with him. Digging on the beach had been a favorite pastime for all the years he'd been living at the cottage for as far back as he could remember. His grandmother told him it was childish. He didn't care. It comforted him. The sea always gave him something from its depths. It wouldn't fail him today.An hour later he'd found a brimming bucketful of treasures, including an enormous purple-gray conch that spoke in ocean waves to him every time he held it to his ear. The conch would go with him, he'd already decided. When they . . . left . . . yes, left the cottage behind forever, the conch would be his reminder of all those joyful, sun-filled days of his childhood by the sea.What is the topic/subject of "The Cottage"?A. struggle between family members B. big changes in life C. destruction of the environment D. man versus nature in the early 1900s, mental hospitals would take the most severely affected patients, mostly people with schizophrenia, and isolate them in a part of the hospital called the: please choose the correct answer from the following choices, and then select the submit answer button. answer choices state prison. acute ward. milieu ward. back wards. Determine the reactions at the roller A and pin B.B. 4 m 450 N 600 NmA. 2 m 3 m A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover? BRAINLIEST Could someone please give me a deep analyzation for my essay PLEASEThere has been a controversy between animal rights supporters and scientists about whether it is right to use animals in experimental research. Also, it is very debatable whether using animals for such research results in finding a cure for diseases. From my point of view, if there are no other alternatives, and if it is possible that this will contribute to science, animals may be used for experimental research.Although the animal rights activists claim that people and animals are equal and thus they should be treated equally, I think that people and animals cannot be seen equal, and therefore the death of an animal cannot be the same thing as the death of a person. For that reason, causing animals to die for science, for the sake of saving human lives, may be considered ethical to some extent if it will contribute to the advancement of science and will be to the benefit of humanity in general.Furthermore, animal rights supporters label scientists as cruel for causing animals to die in medical experiments, while they do not oppose the people, mostly farmers, who kill animals for food, even though they know that 99% of animals deaths is caused by farmers while only a small percentage, i.e. 1% is caused by scientists. The underlying reason for that is they find scientists easier to attack and cannot deal with farmers who are organized and strong.Another basic argument of animal rights defenders is that people and animals are different genetically and therefore it is useless to use animals in experiments to see the effects of some substances on people. They claim that it will make no good to use animals in experiments because they are too different to be compared to people. Some of them even assert that it is better to use people directly as they think that the results of experiments on animals cannot be valid and reliable as long as the same observation has not been done on man also. However, these people cannot foresee the disastrous results of such a practice. Many people are likely to die until a healthy result is obtained.People and animals may not be the same, but to some degree there are similarities which can at least give scientists an idea about their experiments. From this point of view, scientists are right to use animal models to provide themselves with information about what is happening at level of detail that could not be achieved in humans. Although there might have been some incidents when animal testing did not prove to be useful and some effects of some drugs observed on animals could not be observed on people, there are also a lot of examples that show that using animals resulted in significant developments and helped to cure some serious illnesses.On the other hand, there may be alternative methods that should be used instead of animal experimentation. Then, of course, it is cruel and unethical to use animals. For example, in some experiments in-vitro methods can be used as an alternative to using live animals. In such occasions, it is certainly much better and right to employ these alternatives.All in all, it can be said that using animals for medical research is ethical a long as it contributes to scientific development and helps scientists find ways to improve human health. And this practice is only acceptable on the condition that necessary pains are taken and animals are treated humanely. Suppose $830 is invested at 6.58% interest compounded quarterly. how much is in the account after 10 years? What is true about enzymes? The mass unit associated with density is usually grams. If the volume (in mL or cm3 ) is multiplied by the density ( g/mL or g/cm3 ) the volume units will cancel out, leaving only the mass units. Keep in mind that the volume and density must use the same volume unit for the cancellation.If a large marshmallow has a volume of 2.75 in3 and density of 0.242 g/cm3 , how much would it weigh in grams? 1 in3=16.39 cm3 . some americans feel that capitalism is the key to economic success. if karl marx were alive today, how would he most likely respond to this statement?