Ivan receives two offers for a new job. One offer is for $2000 per month plus 10% commission on his sales. The other offers $2400 per month, but only a 6% commission on sales. What would his sales need to be for the two offers to result in the same monthly pay?

Therefore Ivan needs to sale 10,000 per month in order to get same monthly pay from the two offers.

Step-by-step explanation:

Given that,

Ivan receives two offers for new job.

One offer is $2000 per month plus 10% commission on his sales.

The other offer $2400 per month plus 6% commission on his sales.

Let he needs to sell $x per month for the two offers to result in the same monthly pay.

10% of x= 0.10x

6% of x=0.06x

According to the problem,

2000+0.10x=2400+0.06x

⇒0.10x-0.06x=2400-2000

⇒0.04x=400

⇒x=10,000

Therefore Ivan needs to sale 10,000 per month in order to get same monthly pay from the two offers.

60

step-by-step explanation:

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.