If a salesman has a base salary of $2,000 per month and makes an additional 4% on every sale, how much merchandise must he sell in a year to make $60,000?

$900,000 merchandise.

Step-by-step explanation:

Salesman has a base salary of $2000 per month.

He makes additional 4% on every sale.

So expression for his earning will be

Earnings = 12(2000) + 4% of x

              = Where x is the additional on every sale

Earnings = 12(2000) + 0.04x

If earnings are $6,000 then

6,000 = 24000 + 0.04x

0.04x = 60,000 - 24,000

0.04x = 36,000

x = = $900,000 merchandise.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct