Answer:
The scale factor is

Step-by-step explanation:
Line segmentAB has vertices A(−3, 4) and B(1, −2) .
A dilation, centered at the origin, is applied to AB. The image has vertices
A'(-1,4/3) and B′(1/3, −2/3) .
We know the rule for dilation by scale factor of k, is

This means that;

But we know, A' has coordinates (-1,4/3)
This means that


We could also compare:
4k=4/3
Which gives
k=⅓
K=4 would be the answer you’re looking for
Hi there! The answer is 0 solutions.

First we need to work out the parenthesis (for instance possible by using rainbow technique).

Now subtract 12.

Now we can see that the right side of the equation is always 8 smaller than the left side of the equation. Because the right is always smaller, this equation cannot be solved. Therefore there are no solutions to this equation. The answer is 0 solutions.
Answer:
Nominal Interest rate=11.9%
Step-by-step explanations:
The Fisher effect is a theory propounded by an economist named Irving Fisher.
Fisher's equation shows the relationship between real Interest rate, expected inflation rate and nominal Interest rate.
It can be calculated by subtracting the expected inflation rate from the nominal Interest rate to give the real Interest rate.
Real Interest rate= nominal Interest rate - expected inflation rate
Given,
Real Interest rate= 4.4%=0.044
Expected inflation rate=7.5%=0.075
Nominal Interest rate=?
Therefore,
Real Interest rate=nominal Interest rate - expected inflation rate
Nominal Interest rate=Real Interest rate+expected inflation rate
Nominal Interest rate=0.044+0.075
Nominal Interest rate=0.119
Nominal Interest rate=11.9%