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Ksju [112]
4 years ago
12

Demand The demand function for the product is given by

Mathematics
1 answer:
DiKsa [7]4 years ago
8 0

Answer:

(a) 2996 units

(b) 1897 units

Step-by-step explanation:

p = 10,000(1 - 3/3 + e^-0.001x)

(a) p = $500

500 = 10,000(1 - 1 + e^-0.001x)

500/10,000 = e^-0.001x

e^-0.001x = 0.05

-0.001x = In 0.05 = -2.996

x = -2.996/-0.001 = 2996 units

(b) p = $1500

1500 = 10,000(1 - 3/3 + e^-0.001x)

1500/10,000 = (1 - 1 + e^-0.001x)

0.15 = e^-0.001x

-0.001x = In 0.15 = -1.897

x = -1.897/-0.001 = 1897 units

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Jake has finished pouring 4,865 cubic feet out of a total of 27,000 cubic feet of concrete. What percent of the job has he compl
anzhelika [568]
The total is the 100% and that is 27000, the question is what percentage is 4865
We can use a simple rule of three, direct proportion to solve:
27000 ft^3 --------> 100%
 4865 ft^3 ---------> x
x =(4865)(100)/27000
x = 18.02
therefore 4865 ft^3 is 18.02% of 27000 <span>ft^3</span>
6 0
3 years ago
Somebody help me :( <br><br> 12x+6y=120<br> 4x+y=30
guapka [62]

Answer:

x=5, y=10. (5, 10).

Step-by-step explanation:

12x+6y=120

4x+y=30

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

2x+y=20

4x+y=30

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

y=20-2x

4x+(20-2x)=30

4x+20-2x-30

2x-30-20

2x=10

x=10/2

x=5

4(5)+y=30

20+y=30

y=30-20

y=10

7 0
3 years ago
Read 2 more answers
Prove that if a and b are integers, then a^2-4b egal or non-egal 2
Lera25 [3.4K]

Answer:

tex]a^2 - 4b \neq 2[/tex]

Step-by-step explanation:

We are given that a and b are integers, then we need to show that a^2 - 4b \neq 2

Let  a^2 - 4b = 2

If a is an even integer, then it can be written as a = 2c, then,

a^2 - 4b = 2\\(2c)^2 - 4b =2\\4(c^2 -b) = 2\\(c^2 -b) =\frac{1}{2}

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

If a is an odd integer, then it can be written as a = 2c+1, then,

a^2 - 4b = 2\\(2c+1)^2 - 4b =2\\4(c^2+c-b) = 2\\(c^2+c-b) =\frac{1}{4}

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

Thus, our assumption was wrong and a^2 - 4b \neq 2.

7 0
3 years ago
7. What type of lines does the<br> system y=3x+2 and 3x-y=-2<br> form?
Aleks [24]

Answer: The system forms the same line.

Step-by-step explanation:

3x - y = -2

-y = -3x - 2 (subtract 3x from both sides)

y = 3x + 2 (divide both sides by -1)

First equation: y = 3x +2

Second equation: y = 3x +2

THEY ARE THE SAME LINE —> there are infinitely many solutions.

3 0
3 years ago
Select the correct choice below and fill in the answer​ box(es) to complete your choice.
patriot [66]
B) 312 divided by 75 is 4 with a remainder of 12
7 0
3 years ago
Read 2 more answers
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