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Find the amount and compound interest of 1½ years at 10%. p.a, compound half- yearly.
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We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;
Where , D = b² - 4ac (Discriminant)
Now , On comparing the given equation with ax² + bx + c , we have
⇢⇢⇢ <em><u>a = 1 , b = - 10 , c = 2</u></em><em><u>7</u></em>
Now , Calculating D ;
Now , Calculating the vertex ;
Hence , The vertex of the parabola is at (5,2)
Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .
Refer to the attachment for the graph as well .
Answer:
x = -
Step-by-step explanation:
A theorem states that (using letters from in this problem) that:
AB * BE = DC * CE
Applying that you can find that:
11 ( x + 1 ) = 1 ( x + 4 )
11 x + 11 = x + 4
11 x + 11 - x = x + 4 - x
10 x + 11 = 4
10 x + 11 - 11 = 4 - 11
10 x = -7
10 x / 10 = -7 / 10
x = -