Boris invested his savings in two investment funds. The $12,000 that he invested in fund a returned a 6% profit the amount that he invested in fund b returned at 2% profit how much did he invest in Fund b if both funds together returned a 5%

$4000

Step-by-step explanation:

Let B represent amount invested in account 'b'.  

We have been given that an amount of $12,000 that Boris invested in fund a returned a 6% profit.

So the profit earned from fund 'a' would be .

We are also told that the amount that he invested in fund b returned at 2% profit. So the profit earned from fund 'b' would be .

Further, both funds together returned a 5%. We can represent this information as:

Now, we will equate profit earned from account 'a' and 'b' with profit earned from both accounts as:

Therefore, Jason invested $4000 in fund 'b'.

what chart am i supposed to follow?

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.