Answer:
See explanation
Step-by-step explanation:
1 step:
n=1, then

So, for j=1 this statement is true
2 step:
Assume that for n=k the following statement is true

3 step:
Check for n=k+1 whether the statement

is true.
Start with the left side:

According to the 2nd step,

Substitute it into the 

So, you have proved the initial statement
Answer:
2
Step-by-step explanation:
square have the same side length is the area is 4 you would have to find what number that you can multiply by itself twice (ex: 2x2) that gets you four the only number does that is 2
Answer:
The value of rate per annum is R = 12.5 %
Step-by-step explanation:
Principal amount = 576
Interest = 153
Amount after 2 years = 576 + 153 = 729
We know that
![A = P [1 + \frac{R}{100} ] ^{T}](https://tex.z-dn.net/?f=A%20%3D%20P%20%5B1%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%5D%20%5E%7BT%7D)
Put all the values in above equation
![729 = 576 [1 + \frac{R}{100} ]^{2}](https://tex.z-dn.net/?f=729%20%3D%20576%20%5B1%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%5D%5E%7B2%7D)

R = 12.5 %
This is the value of rate per annum.
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept → (0, b)
From the graph we have the points (4, 4) and (0, 3) → b = 3.
We have the equation:

The formula of a slope:

Put the coordinates of the points:

Finally we have:
