Answer:
Simple interest-?
Step-by-step explanation:
P= 12000
T=5yrs
R=5%
Now,
Simple interest - PTR/100
= 12000*5*5/100
= $3000
Again,
P=12000
T=3yrs
R=8%
Now,
Simple interest - PTR/100
= 12000*3*8/100
= $2880
Hope this helps.
Answer:
x = 49
Step-by-step explanation:
1- Substitute g ( x ) = 0
Reduce
g ( x ) = - x 2/4 + 7
2- Move the variable to the left
0 = - x 1/2 + 7
3- Simplify the equation
x 1/2 = 7
4- Simplify Evaluate
( x 1/2 ) ² = 7²
5- Check the solution
x= 49
6- Simplify
0= - 49 2/4 + 7
7- x = 49 is a solution
0 = 0
Answer: The correct option is (B) 24 : 25.
Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.
We are to find the ratio of the area of R to the area of S.
Let 2x, 3x be the sides of rectangle R and y be the side of square S.
Then, according to the given information, we have

Therefore, the ratio of the area of R to the area of S is
![\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%5Ctimes3x%7D%7By%5Ctimes%20y%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B5x%5E2%7D%7By%5E2%7D%5C%5C%5C%5C%5C%5C%3D6%5Cleft%28%5Cdfrac%7Bx%7D%7By%7D%5Cright%29%5E2%5C%5C%5C%5C%5C%5C%3D6%5Ctimes%5Cleft%28%5Cdfrac%7B2%7D%7B5%7D%5Cright%29%5E2~~~~~~~~~~~%5B%5Ctextup%7BUsing%20equation%20%28i%29%7D%5D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B24%7D%7B25%7D%5C%5C%5C%5C%3D24%3A25.)
Thus, the required ratio of the area of R to the area of S is 24 : 25.
Option (B) is CORRECT.