Bill invested a total $1500 in two accounts one account paid 2% annual interest and the other account paid 4%. after on year she earned a total of $44 interest. how much did she invest in each account

1st 700 and 2nd investment is 800

Step-by-step explanation:

x+y=1500 This is because the total is 1500 dollars into 2 different accounts, x and y.

0.02x+0.04y=44 This is because it says 2 percent interest in one account and 4 percent in the other, and the totals add up to 44 dollars.

Now use elimination method.

x+y=1500(-0.02)=-0.02x+-0.02y=-30

0.02x+0.04y=44

Now you end up with 0.02y=14, solve for y and you get 700. That's the value of y which now you can then subtract from 1500 and get 800 which is the value of x.

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