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.

Find the first derivatives:

.
Solve the system

:

. The second equation has solutions

and then

and you have two points

.
Find the first derivatives:

and calculate
![\Delta=\left| \left[\begin{array}{cc}24&-24\\-24&12y\end{array}\right]\right |=24\cdot 12y-(-24)^2=288y-576](https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%7C%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D24%26-24%5C%5C-24%2612y%5Cend%7Barray%7D%5Cright%5D%5Cright%20%7C%3D24%5Ccdot%2012y-%28-24%29%5E2%3D288y-576)
.
Since

and

,

is a point of maximum and

.
Since

and

,

is a point of minimum and

.
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
Answer:
4.
Step-by-step explanation:
You are so smart. 5 - (-7) = 5+7 which = 12. 12/3 is 4.