Hanna is planning to invest a total of $10000 in two funds: Fund A, a low-yield fund, which pays 3% interest, and Fund B, a high-yield fund, which pays 15% interest (but has other drawbacks). If she wants to earn $1416 in total interest, how much should Hanna invest in each fund?

Step-by-step explanation:

x=amount in fund a

y= amount in fund b

x+y=10000

.03x+.15y= 1416

y= 10000-x

.03x+.15(10000-x)=1416

x= 700

700+y=10000

y=9300

700 in fund A

9300 in fun B

step-by-step explanation:

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if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this