Question

find the rate of interest if a sum of money gets doubled I
n 16 years

Answer 1

Factorization of algebraic expressions when a binomial is a common factor:

The expression is written as the product of binomial and the quotient obtained by dividing the given expression is by its binomial. 


Solved examples when a binomial is a common factor:

1. Factorize the expression (3x + 1)2 – 5(3x + 1)

Solution: 

(3x + 1)2 – 5(3x + 1)

The two terms in the above expression are (3x + 1)2 and 5(3x + 1)

= (3x + 1) (3x + 1) – 5(3x + 1)

Here, we observe that the binomial (3x + 1) is common to both the terms.

= (3x + 1) [(3x + 1) – 5]; [taking common (3x + 1)]

= (3x + 1) (3x - 4)

Therefore, (3x + 1) and (3x - 4) are two factors of the given algebraic expression.

Answer 2

Answer:

Let the principle be 100 then amount becomes 200 in 16 years

To find intrest

we know that amount-principle

Intrest=200-100=100

and time 16 years

therefore put formula of rate = 100 multiplied by 100 upon 100multiplied 16 years

= 100upon16=25upon4

answer is 25upon4