Cody works at a car dealership where he earns $300 each week plus a commission equal to 1% of his total sales. This week his goal is to earn at least $500. What is the minimum amount of total sales Cody must have to reach his goal?

$20,000 = sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $300

Commission rate= 1% of sales

First, we need to establish the net income formula:

Net income= 300 + 0.01*sales

Now, the sales required for $500 net income:

500= 300 + 0.01sales

200/0.01 = sales

20,000 = sales

Prove:

Net income= 300 + 0.01*20,000

Net income= $500

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1