Nadia is a stockbroker. She earns 14% commission each week. Last week, she sold $7 comma 500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?

$1050

$54,600

Step-by-step explanation:

In this question, we are looking at calculating two things. We want to calculate the amount of commission made in a week and the amount made in a year.

Firstly, to calculate the amount of commission she made last week, we simply find the percentage.

Mathematically, this is equal simply to:

14% of $7,500 = 14/100 * 7500 = $1050

She made a commission of $1050 last week

Now, we are told this is the average she makes per week. We now want to calculate how much she makes per year. To do this, what we do is to multiply what she had made in a week by the number of weeks in a year.

The number of weeks in a year is 52. The amount she made is just 52 * $1050 = $54,600

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