[ ( x + 4 )( x + 5 ) + 4( x + 1 )( x + 5) - 5( x + 1 )( x + 4 ) ] / [( x + 1 )( x + 4)( x + 5 )] = ( x^2 + 9x + 20 + 4x^2 + 24x +20 - 5x^2 - 25x - 20) / [( x + 1 )( x + 4)( x + 5 )] =
( - 2x + 20 ) / [( x + 1 )( x + 4)( x + 5 )] = ( - 2)( x - 10) / [( x + 1 )( x + 4)( x + 5 )]
Answer: (x + 3)(x - 4)
Step-by-Step Solution:
We need to Factorize the given Quadratic Polynomial by using Splitting the Middle Term Method.
= x^2 - x - 12
= x^2 - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
=> (x + 3)(x - 4)
Answer:
Rate=9.05%
Step-by-step explanation:
Let P represent the Principal ,t the time = 8 years and r be the rate of interest.
It is given money doubles in 8 years so A=2P.
The compound interest is given by the formula :

Substituting the values we have:

Dividing both sides by P :


1.0905-1=r
r=0.09050
r=9.05%