Aman invest 5,200,part at 4% and the balance at 3%. if his total income for the two investments is $194,how much money did he invest at each rate

Let the amount invested at 4% be = x

Let the amount invested at 3% be = y

Given is:

or  .... (1)

As, total income for the two investments is $194, so equation is:

  ....(2)

Putting value of x from (1) in (2)

And x=5200-y

Hence, money invested at 4% is $3800 and money invested at 3% is $1400

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

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