Hello :
P(x) + P(x') =1 ...( x' is the <span>complement of x)
0.3 +</span> P(x') =1
P(x') = 1 - 0.3 = 0.7
Answer:

Step-by-step explanation:
The standard compound interest formula is given by:

Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.
Since we are compounding annually, n=1. Therefore:

Lester wants to invest $10,000. So, P=10,000.
He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.
And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:

Let’s solve for our rate r.
Divide both sides by 10000:

We can raise both sides to 1/3.3. So:

The right side will cancel:

So:

Use a calculator:

So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.
Answer:
Step-by-step explanation:
- x² = 4² + (√34)²
- x² = 16 + 34
- x² = 50
- x = √50
- x = 5√2
Answer:
is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.
Step-by-step explanation:
Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.
First term of given arithmetic progression is A
and common difference is D
ie.,
and common difference=D
The nth term can be written as

pth term of given arithmetic progression is a

qth term of given arithmetic progression is b
and
rth term of given arithmetic progression is c

We have to prove that

Now to prove LHS=RHS
Now take LHS




![=\frac{[Aq+pqD-Dq-Ar-prD+rD]\times qr+[Ar+rqD-Dr-Ap-pqD+pD]\times pr+[Ap+prD-Dp-Aq-qrD+qD]\times pq}{pqr}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5BAq%2BpqD-Dq-Ar-prD%2BrD%5D%5Ctimes%20qr%2B%5BAr%2BrqD-Dr-Ap-pqD%2BpD%5D%5Ctimes%20pr%2B%5BAp%2BprD-Dp-Aq-qrD%2BqD%5D%5Ctimes%20pq%7D%7Bpqr%7D)




ie., 
Therefore
ie.,
Hence proved
7×20 and 7×2000 are similar. The amount of zeros are the dependent factor.
7×20= 140
7×2000= 14000
The base equation is 7×2=14
Any additions of zeroes in this formula will be added at the end result.
Ex.
7×2=14
7×20=140
7×200=1400
70×200=14000
700×200=140000