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3 years ago

What is the equilibrium price per DVD?

Mathematics

1 answer:

OleMash [197]3 years ago

5 0

The equilibrium referred to here is the dynamic equilibrium. It means that there is a change happening, but the opposite change are equal so they cancel out. So, we can determine the equilibrium price at the point where the demand and supply curve intersect. That would be at the quantity of 60 units. Therefore, the equilibrium price is $10.

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Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.

torisob [31]

Fermat's little theorem states that
$a^p$ ≡a mod p

If we divide both sides by a, then
$a^{p-1}$ ≡1 mod p
=>
$a^{17-1}$ ≡1 mod 17
$a^{16}$ ≡1 mod 17

Rewrite
$a^{1000000}$ mod 17 as
$=(a^{16})^{62500}$ mod 17
and apply Fermat's little theorem
$=(1)^{62500}$ mod 17
=>
$=(1)$ mod 17

So we conclude that
$a^{1000000}$ ≡1 mod 17

6 0

3 years ago

Rewrite 2 7/9 as a improper fraction

Alborosie

The answer would be 25/9 as a improper fraction

6 0

3 years ago

What is 4x squared minus x squared

OLEGan [10]

Answer:

3x^2 or 3x squared

Step-by-step explanation:

4x^2-x^2=3x^2

4x squared-x squared equals x squared

when subtracting squared it's like subtracting normal numbers

3 0

2 years ago

Read 2 more answers

The cost of Samantha's 15th birthday party depends on the number guest. The hall charges $250 for the use of the hall plus $12 p

Scorpion4ik [409]

Answer:

Equation: y=x(12)+250

Total cost: $550

3 0

2 years ago

Evaluate. (x + 4). 2 - x for x = 6 54 74 0 14

Scrat [10]

Answer: 74

Step-by-step explanation:

Substitute x=6 into the expression

(x+4) . 2^3 -6

Add the numbers

(6+4) . 2^3- 6

10 x 2^3 -6

Evaluate the power

10 x 2^3 -6

10 x 8-6

Multiply the numbers

10 x 8-6

80-6

Subtract the numbers

80-6

3 0

3 years ago