Step-by-step explanation:
Lets look at each of the options one by one:
Price System: In this system markets allocate resources through the price mechanism. An increase in demand raises price and encourages businesses to use more resources into the production of that good or service. In this system the government limits itself to protecting property rights of people and businesses using the legal system and protecting the value of money or the value of a currency.
Authoritarian System: In this system it is associated with a communist system. The scarce resources are owned by the government. The state allocates resources, and sets production targets and growth rates according to its own view of people's wants. They have their own idea of demand.
By comparing two systems it can be seen that Price System automatically moves resources to where they are most needed. So, price system is more efficient than authoritarian means.
Answer:
Dracula will be left with 24 candies
Step-by-step explanation:
The given problem is of fractions and percentages.
Given that
Total pieces of candy = 48
Now as it is mentioned that Dracula gives 1/3 of his candies to his friend, wee have to find the one third of the total pieces of candies first.
Dracula will be left with:
Dracula will be left with 32 candies after giving one third to his friend.
Now he gives 25% of remaining to his cousin
So,
Dracula will be left with: 32-8 = 24 candies
Hence,
Dracula will be left with 24 candies
Answer:
x = 8 units.
Step-by-step explanation:
We'll begin by calculating the length of the two squares attached to the triangle.
From the question given above, the areas of the two square are the same i.e 32 units². Therefore, the length of the two square will be the same.
Now, we shall determine the length of the square as follow:
Area of square (A) = 32 units²
Length (L) =?
Area of square (A) = Length (L) × Length (L)
A = L × L
A = L²
32 = L²
Take the square root of both side
L = √32 units
Therefore, the length of the square is √32 units. This implies that the length of both side of the triangle is √32 units
Now, we shall determine the value of x using pythagoras theory.
From the diagram above we can see that x is the Hypothenus i.e the longest side. Thus, the value of x can be obtained as follow:
x² = (√32)² + (√32)²
x² = 32 + 32
x² = 64
Take the square root of both side
x = √64
x = 8 units.
Therefore, the value of x is 8 units.
Answer:
P(-1) = -18
Step-by-step explanation:
P(x) = x^4 +5x^3 -4x-18
p(-1) = (-1)^4 + 5(-1) -4(-1) -18
P(-1) = 1 -5 +4 -18
= -4+4-18
= -18
Answer: -30
Step-by-step explanation:
-30 bc it has the same functions.
