Answer:
RS 14400
Step-by-step explanation:
Given the following :
Principal sum = RS 40000
Rate = 2 paisa per 2 rupee per month
Interest at the end of 3 years
1 rupee = 100 paisa
2 Paisa per 2 rupee per month :
2/200 per month = 1 / 100 per month,
Hence rate = 0.01 = 1% monthly
Annual rate = 1% × 12 = 12 % = 0.12
Simple interest :
Principal × rate × time
40000 × 0.12 × 3
40000 × 0.36
= RS 14,400
Answer:
8.5.28492 cm/s
Step-by-step explanation:
We are given that
Radius of circular planter=11.7 cm
Time taken by bug =13.91 s
We have to find the speed of bug.
We know that
Speed =
Distance traveled by bug =
Distance traveled by bug =
Because 
Speed of bug=
Hence, speed of bug=5.2822 4 cm/s
Answer:8.5.28492 cm/s
Given a solution

, we can attempt to find a solution of the form

. We have derivatives



Substituting into the ODE, we get


Setting

, we end up with the linear ODE

Multiplying both sides by

, we have

and noting that
![\dfrac{\mathrm d}{\mathrm dx}\left[x(\ln x)^2\right]=(\ln x)^2+\dfrac{2x\ln x}x=(\ln x)^2+2\ln x](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5Bx%28%5Cln%20x%29%5E2%5Cright%5D%3D%28%5Cln%20x%29%5E2%2B%5Cdfrac%7B2x%5Cln%20x%7Dx%3D%28%5Cln%20x%29%5E2%2B2%5Cln%20x)
we can write the ODE as
![\dfrac{\mathrm d}{\mathrm dx}\left[wx(\ln x)^2\right]=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5Bwx%28%5Cln%20x%29%5E2%5Cright%5D%3D0)
Integrating both sides with respect to

, we get


Now solve for

:


So you have

and given that

, the second term in

is already taken into account in the solution set, which means that

, i.e. any constant solution is in the solution set.
The answer is 3x simplified
Evaluated 3x
Find the exact value is 3x
Answer:
Length =24m and width = 21m
Step-by-step explanation:
Given,
Area of rectangle, A = 504 m^2
Perimeter of rectangle, P = 90 m
Since we know, A = Length * width and P = 2(Length + width)
So, A = L * w
=> 504 = L*w ------------------(1)
And P = 2(L + w)
=> 90 =2( L + w) ----------------(2)
Plug L =504/w in equation 2
i.e. 90 = 2( 504/w + w)
or 45 = 504/w + w
or 45 = (504 + w^2 ) / w
or 45w = 504 + w^2
or w^2 - 45w + 504 = 0
On solving above quadratic equation we get:
w = 21 or 24
So we take width , w= 21 meter
Then length will be, L =504/21 =24 meter
Hence length and width of rectangle are 24m and 21m respectively.