Answer:
Step-by-step explanation:
p=8 cm
one side=8/4=2 cm
edge of black square=2/4=1/2 cm=0.5 cm
area of one square=(0.5)²=0.25 cm²
total area of two black squares=2×0.25=0.5 cm²
length of white rectangle=2/2=1 cm
width=2/4=1/2 cm=0.5 cm
area of one rectangle=1×0.5=0.5 cm²
area of two rectangles=2×0.5=1 cm²
total area=0.5+1=1.5 cm ²
162.5 is the simple interest for one year.
What does the term "simple interest" mean?
The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest.
Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
P = $812.50
T = 1 Year
S.I. = ?
R = 20
According to question,
S.I. = P * R* T/100
= 812.50 * 20 * 1/100
= 16250/100
= 162.5
Learn more about Simple interest
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The <u>correct answer</u> is:
B) A 90° counterclockwise rotation about the origin, followed by a reflection across the x-axis, followed by a translation 8 units right and 1 unit up.
Explanation:
The coordinates of the <u>points of the pre-image</u> are:
(3, 1)
(3, 4)
(5, 7)
(6, 5)
(6, 2)
The coordinates of the <u>points of the image</u> are:
(7,-2)
(4,-2)
(1,-4)
(3,-5)
(6,-5)
A 90° counterclockwise rotation about the origin negates the y-coordinate and switches it and the x-coordinate. Algebraically,
(x,y)→(-y,x).
When this is applied to our points, we get:
(3, 1)→(-1, 3)
(3, 4)→(-4, 3)
(5, 7)→(-7, 5)
(6, 5)→(-5, 6)
(6, 2)→(-2, 6)
A reflection across the x-axis negates the y-coordinate. Algebraically,
(x, y)→(x, -y).
Applying this to our new points, we have:
(-1, 3)→(-1, -3)
(-4, 3)→(-4, -3)
(-7, 5)→(-7, -5)
(-5, 6)→(-5, -6)
(-2, 6)→(-2, -6)
A translation 8 units right and 1 unit up adds 8 to the x-coordinate and 1 to the y-coordinate. Algebraically,
(x, y)→(x+8, y+1).
Applying this to our new points, we have:
(-1, -3)→(-1+8,-3+1) = (7, -2)
(-4, -3)→(-4+8,-3+1) = (4, -2)
(-7, -5)→(-7+8,-5+1) = (1, -4)
(-5, -6)→(-5+8,-6+1) = (3, -5)
(-2, -6)→(-2+8,-6+1) = (6, -5)
These match the coordinates of the image, so this is the correct series of transformations.
