Answer:
The velocity of money is 6.
Step-by-step explanation:
Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.
Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.
i.e V =
where: V is the velocity of money, P x Y is the nominal GDP i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.
Given that, nominal GDP = 2400 and money supply = 400, then;
V =
= 6
Therefore the velocity of money is 6.
Answer: third option, 49x⁶y⁶
Justification:1) Given:
2) Property: power of a product
3) Property: power of power
Answer: x=6.3518
Step-by-step explanation:
Solve for m:
1/sqrt(8) = 4 (m + 2)
Rationalize the denominator. 1/sqrt(8) = 1/sqrt(8)×(8^(1 - 1/2))/(8^(1 - 1/2)) = (8^(1 - 1/2))/8:
(8^(1 - 1/2))/8 = 4 (m + 2)
Combine powers. (8^(1 - 1/2))/8 = 8^((1 - 1/2) - 1):
8^((1 - 1/2) - 1) = 4 (m + 2)
Put 1 - 1/2 over the common denominator 2. 1 - 1/2 = 2/2 - 1/2:
8^(2/2 - 1/2 - 1) = 4 (m + 2)
2/2 - 1/2 = (2 - 1)/2:
8^((2 - 1)/2 - 1) = 4 (m + 2)
2 - 1 = 1:
8^(1/2 - 1) = 4 (m + 2)
Put 1/2 - 1 over the common denominator 2. 1/2 - 1 = 1/2 - 2/2:
8^(1/2 - 2/2) = 4 (m + 2)
1/2 - 2/2 = (1 - 2)/2:
8^((1 - 2)/2) = 4 (m + 2)
1 - 2 = -1:
8^((-1)/2) = 4 (m + 2)
1/sqrt(8) = 1/sqrt(2^3) = (1/sqrt(2))/2:
(1/sqrt(2))/2 = 4 (m + 2)
Rationalize the denominator. 1/(2 sqrt(2)) = 1/(2 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(2))/(2×2):(sqrt(2))/(2×2) = 4 (m + 2)
2×2 = 4:
(sqrt(2))/4 = 4 (m + 2)
(sqrt(2))/4 = 4 (m + 2) is equivalent to 4 (m + 2) = (sqrt(2))/4:
4 (m + 2) = sqrt(2)/4
Expand out terms of the left hand side:
4 m + 8 = sqrt(2)/4
Subtract 8 from both sides:
4 m + (8 - 8) = (sqrt(2))/4 - 8
8 - 8 = 0:
4 m = (sqrt(2))/4 - 8
Put each term in (sqrt(2))/4 - 8 over the common denominator 4: (sqrt(2))/4 - 8 = (sqrt(2))/4 - 32/4:
4 m = (sqrt(2))/4 - 32/4
(sqrt(2))/4 - 32/4 = (sqrt(2) - 32)/4:
4 m = (sqrt(2) - 32)/4
Divide both sides by 4:
Answer: m = (sqrt(2) - 32)/(4×4)