Answer:
1.5%
Step-by-step explanation:
According to the Taylor rule, the federal funds rate targeted by the Fed is:
Where AI is the actual inflation (1%), DI is the desired inflation (2%) and PD is the deviation from potential (2%):
The Fed should target a federal funds rate of 1.5%.
Answer:
{x,y,z} = {-18,4,2}
Step-by-step explanation:
Solve equation [2] for the variable x
x = -10y + 2z + 18
Plug this in for variable x in equation [1]
(-10y+2z+18) + 9y + z = 20
- y + 3z = 2
Plug this in for variable x in equation [3]
3•(-10y+2z+18) + 27y + 2z = 58
- 3y + 8z = 4
Solve equation [1] for the variable y
y = 3z - 2
Plug this in for variable y in equation [3]
- 3•(3z-2) + 8z = 4
- z = -2
Solve equation [3] for the variable z
z = 2
By now we know this much :
x = -10y+2z+18
y = 3z-2
z = 2
Use the z value to solve for y
y = 3(2)-2 = 4
Use the y and z values to solve for x
x = -10(4)+2(2)+18 = -18
Answer:
The simplest form of 1/2 x 2 is 2 or 2/1 or 4/2.
The simplest form of 3/8 is 3/8.
Step-by-step explanation:
(look at picture)
9514 1404 393
Answer:
(c) BK = 65
Step-by-step explanation:
Corresponding sides are proportional in similar triangles, so ...
ZT/ZQ = KF/KB
27/(2x +7) = 45/(4x+1)
27(4x+1) = 45(2x +7) . . . cross-multiply
3(4x +1) = 5(2x +7) . . . . divide by 9
12x +3 = 10x +35 . . . . . eliminate parentheses
2x = 32 . . . . . . . . . . . . . subtract 10x+3
x = 16 . . . . . divide by 2
Then the length of BK is ...
BK = 4x+1 = 4·16 +1
BK = 65
The statement is contradictory, because it is said that every member of the family gives a gift to every other member of the family. And from 10 members, there are just 2 exchanging. Anyway, maybe they are only 2 members exchanging the gifts at that point in time.
So, each member will exchange 9 gifts (that is 10 members total minus herself), and 2 members are exchanging gifts at that point, so 18 gifts are being exchanged.
