Answer:
Amount = p( 1+r/100) ^n
= 12000 ( 1+10/100) ²
= 12000( 10/10+1/10) ²
= 12000( 11/10) ²
= 12000 x 11/10 x 11/10
= 14520 rs.
Compund interest = amount - principal
= 14520 - 12000
= 2520rs.
Next question :- no of men can complete a piece of work in 7 days = 36
No of men can complete a piece of work in 42 day = ( 36 x 7 ) ÷ 42
= 252 ÷ 42
= 6 men
Not all prime numbers are odd, 2 is not odd and it's a prime number
Answer:

Step-by-step explanation:
y′′ + 4y′ − 21y = 0
The auxiliary equation is given by
m² + 4m - 21 = 0
We solve this using the quadratic formula. So

So, the solution of the equation is

where m₁ = 3 and m₂ = -7.
So,

Also,

Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,


Substituting A into (1) above, we have

Substituting B into A, we have

Substituting A and B into y, we have

So the solution to the differential equation is

First, we find x using the given equation:
x = 4 / sin(53)
x = 5
We also know that:
Cos(∅) = base / hypotenuse
Therefore,
cos(53°) = y / 5