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Olin [163]
3 years ago
6

The revenue of the company is given by the equation R = x (1000 – 4x), where R is the revenue of the company in dollars when thy

sell x units of a product. How many units of the product should they sell to make a revenue of $60,000
Mathematics
1 answer:
ad-work [718]3 years ago
6 0

Answer:

100 or 150 units of the product.

Step-by-step explanation:

R = x(1000-4x)

What is the value of x if R = 60,000?

x(1000-4x) = 60000

-4x^2 + 1000x = 60000

x^2 - 250x = -15000

x^2 - 250x + 15000 = 0

Factorize:

(x-100)(x-150) = 0

x-100 = 0 V x-150 = 0

x = 100 V x = 150

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Help please i really really really need it.....
ruslelena [56]

A)

s = sweater

j = jeans

Equations:

4s + 2j = 140

2s + 3j = 150

B)

4s + 2j = 140

2s + 3j = 150

Multiply (-2) to the second equation

-2 (2s + 3j = 150)

-4s - 6j = -300

Now you have the equations:

4s + 2j = 140

-4s - 6j = -300

-----------------------------add

-4j = -160

  j = 40

4s + 2(40) = 140

4s + 80 = 140

4s = 60

 s = 15

The cost for a sweater is $15 and the cost for a jean is $40

We used the elimination method to solve the system of equations.

C)

Each pair of jean, she will buy 3 sweaters so total = 40 + 3(15) = $85

Total cost for 1 pair of jeans and 3 sweaters = $85

If she has $225 the

$225 / $85 = 2.64

2 jeans = 2 x 40 = $80

6 sweaters = 6 x $15 = $90

So She can only buy 2 jeans and 6 sweaters

3 0
3 years ago
An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the
inna [77]

Answer: 0.6812

Step-by-step explanation:

Let p be the population proportion of trees are infested by a bark beetle.

As per given: p= 12%= 0.12

Sample size : n= 1000

Number of trees affected in sample = 1000

Sample proportion of trees are infested by a bark beetle. = \hat{p}=\dfrac{127}{1000}=0.127

Now, the z-test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

So, z=\dfrac{0.127-0.12}{\sqrt{\dfrac{0.12\times 0.88}{1000}}}

z=\dfrac{0.007}{\sqrt{\dfrac{0.1056}{1000}}}\\\\\\=\dfrac{0.007}{\sqrt{0.0001056}}\\\\\\=\dfrac{0.007}{0.010276}\approx0.6812

Hence, the value of the z-test statistic = 0.6812 .

7 0
3 years ago
Amar keeps picking playing cards out of a standard deck of 52 cards in the hopes that he will
lapo4ka [179]

Answer:

The required probability is, 0.78

Step-by-step explanation:

There are, (52 - 13) = 39 cards which are not spade

5 cards can be chosen from the deck of 52 cards in

^{52}{C}_{5}  ways

and out of these 5 choices, none of them will be spade in,

^{39}{C}_{5}  ways

So,

P(None of the chosen cards is spade)

= \frac {^{39}{C}_{5}}{^{52}{C}_{5}}

\simeq 0.22

Hence,

P(out of these 5 choices, at least one card is spade)

\simeq (1 - 0.22)

= 0.78

4 0
3 years ago
17) x =<br> (6x-7)<br> (103-x)
Firlakuza [10]

Answer:

6B = F8

Step-by-step explanation:

5 0
3 years ago
If you are asked to provide a set of two or more numeric answers, separate them with commas. For example, to provide the year th
garik1379 [7]

Answer:  Perimeter = 66 cm and area =66\ m^2

Step-by-step explanation:

The perimeter of rectangle is given by :-

P=2(l+w), where l is length and w is width of the rectangle.

Given : A rectangle has a length of 5.50 m and a width of 12.0 m .

Then, the perimeter of rectangle :

P=2(12+5.50)\\\\\Rightarrow\ P=2(17.50)=35\ m

Also, area of rectangle is given by :-

A=l\times w=5.50\times12=66 \ m^2

Area of rectangle = 66\ m^2

3 0
3 years ago
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