100+25*12=400
400-320=80
80/320=1/4=0.25=25%
amswer os 25% interest
Answer:
L' = (-36, 0)
Step-by-step explanation:
If the point (x, y) is dilated by a scale factor of k about the center (0, 0), then its image is the point (kx, ky)
∵ A dilation has a center (0, 0)
∵ The point L is (-4, 0)
∴ x = -4 and y = 0
∵ The scale factor of dilation is 9
∴ k = 9
→ By using the rule above
∵ kx = 9(-4) = -36
∵ ky = 9(0) = 0
∵ The image of the point L is (kx, ky)
∴ L' = (kx, ky)
∴ L' = (-36, 0)
Given:
The inequality is
...(i)
The variables a and b are consecutive perfect squares.
To find:
The values of a and b.
Solution:
We know that, perfect square of natural numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...
Clearly, 50 lines between two consecutive perfect square 49 and 64.
...(ii)
On comparing (i) and (ii), we get
Therefore, the values of a and b are 49 and 64 respectively.
Area of isosceles triangle is 7.8235
Height = base/2 x tan 41 = 2.61
Base length = 2 x ( side length of triangle) x cos 41
6= 2 x ( side length of triangle, assume it b ) x 0.754
6= 1.509 x b
b = 6/ 1.509
b= 3.975
Area = 1/2 b x h
= 1/2 x b^2 Sin square theta
= 7.8235
Y-2x=6 => y=6+2x
Y+2x=0
(6+2x) + 2x = 0
6 + 4x = 0
4x= 6
X=6/4
X= 3/2
Y=6+2x
Y=6+2. 3/2
Y= 6 + 3
Y=9
Check: y-2x=6
9-2. 3/2 = 6
9 - 3 = 6