Answer:
3
Step-by-step explanation:
All we need to do here is plug in the number 4 for the variable x. Wherever there's an x, kidnap it and replace it with a 4!

x = 4

Do the addition.
4 + 20 = 24
4 + 4 = 8

We can simplify this! What is 24 divided by 8?
24/8 = 3
The answer is 3!
Answer:The answer is choice B
Step-by-step explanation: (3x-2y)2-(2x-3y)2
Final result :
5 • (x + y) • (x - y)
Step by step solution :
Step 1 :
1.1 Evaluate : (3x-2y)2 = 9x2-12xy+4y2
1.2 Evaluate : (2x-3y)2 = 4x2-12xy+9y2
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
5x2 - 5y2 = 5 • (x2 - y2)
Trying to factor as a Difference of Squares :
2.2 Factoring: x2 - y2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (x + y) • (x - y)
Final result :
5 • (x + y) • (x - y)
Answer:
Investment with interest rate 0.1872 is better
Step-by-step explanation:
Given as :
George investment principal = $20,000
The Rate of interest (R1) = 18
% =
%
I.e R1 = 18.67 %
Again The The Rate of interest (R2) = 0.1872 = 18.72 %
Let the time period for both rate of interest = 1 years
Now from compound interest method
Amount = Principal ×
Or, A 1 = $ 20 , 000 ×
Or, A 1 = $ 20 ,000 × 1.1867
∴ A 1 = $ 23,734
And A 2 = $ 20 , 000 ×
Or, A 2 = $ 20 ,000 × 1.1872
∴ A 2 = $ 23,744
Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer