Qantas shares pay a yearly return of 9% while Telstra shares pay 11%. John invests $1500 more on Telstra shares than on Qantas shares, and his total yearly earnings from
the two investments is $1475. How much did he invest in Qantas shares?​

John invested $6550 into Qantas

Step-by-step explanation:

Let's mark his investment into Qantas as x. We can rewrite the problem statement as:

(x+$1500) * 0.11 + x * 0.09 = $1475

0.11x + 0.11 * $1500 + 0.09x = $1475

0.2x + $165 = $1475

0.2x = $1310

x = $6550

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