Answer:
P = Rs2500
Step-by-step explanation:
Given that,
Amount, A = Rs 3025
Rate, r = 10%
Let time, t = 2 years
We need to find the sum if the amount is compounded annually. Using the formula of compound interest.
![A=P(1+\dfrac{r}{100})^n\\\\P(1+\dfrac{10}{100})^2=3025 \\\\P(1.21)=3025\\\\P=\dfrac{3025}{1.21}\\\\P=\text{Rs}\ 2500](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cdfrac%7Br%7D%7B100%7D%29%5En%5C%5C%5C%5CP%281%2B%5Cdfrac%7B10%7D%7B100%7D%29%5E2%3D3025%20%5C%5C%5C%5CP%281.21%29%3D3025%5C%5C%5C%5CP%3D%5Cdfrac%7B3025%7D%7B1.21%7D%5C%5C%5C%5CP%3D%5Ctext%7BRs%7D%5C%202500)
So, the sum of money is Rs 2500.
Answer:72
Step-by-step explanation:
there are four offices so what you need yo do is this 18x4=72
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Answer:
![45x^3a+27xa^2= 9xa(5x^2+3a)](https://tex.z-dn.net/?f=45x%5E3a%2B27xa%5E2%3D%209xa%285x%5E2%2B3a%29)
Step-by-step explanation:
Given:
![45x^3a+27xa^2= 9xa](https://tex.z-dn.net/?f=45x%5E3a%2B27xa%5E2%3D%209xa)
We need to complete this Statement.
By Solving the above equation we get;
We will take some common factor out so we will get;
![45x^3a+27xa^2= 9xa(5x^2+3a)](https://tex.z-dn.net/?f=45x%5E3a%2B27xa%5E2%3D%209xa%285x%5E2%2B3a%29)
Hence the Complete statement is ![45x^3a+27xa^2= 9xa(5x^2+3a)](https://tex.z-dn.net/?f=45x%5E3a%2B27xa%5E2%3D%209xa%285x%5E2%2B3a%29)