Vertex A in quadrilateral ABCD lies at (-3, 2). If you rotate ABCD 180° clockwise about the origin, what will be the coordinates
of A′ of the rotated quadrilateral A′B′C′D′?
2 answers:
Answer:
The coordinate of A' after rotated through 180° is (3,-2)
Step-by-step explanation:
Given vertex A in a quadrilateral ABCD lies at (-3,2). Now we have to rotate the quadrilateral ABCD 180° clockwise about the origin.
The point (x,y) is when rotated about the origin through 90° in clockwise direction then the new position will be (y,-x).
Now,the point A which is given is (-3,2)
First after rotation through 90° the new point will be (2-(-3)) = (2,3)
Again this point further rotated through 90° or we can say that rotation after 180° then the new point become A' = (3,-2).
Hence, The coordinate of A' after rotated through 180° is (3,-2)
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The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Step-by-step explanation:
The given is,
Compounds money quarterly
Double your money in 10 years
Step:1
Formula to calculate future investment with compounded quarterly,
...............................(1)
Where, A - Future amount
P - Initial investment\
r - Rate of interest
n - No. of compounding in a year
t - No. of years
Step:2
Let, P = X
A = 2X ( Double your money )
From given, n - 4 ( for compounding quarterly )
t - 10 years
From equation (1)
Take root root on both side,
r = 6.992 %
Result:
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.