The school band is selling items to raise $9,500 for a trip. For each item sold, the band's profit is a percent of the selling price, as shown in the table. Item Selling Price Band's Profit Band Fundraiser CD Calendar $16 45% Calendar T-Shirt $20 38% T-Shirts dcal T $10 100 96 40 52% 236 1. Martha has sold 5 CDs, 6 calendars, and 4 T-shirts. How much profit has the band earned from Martha's sales?
2. Of the 24 items that Jamal has sold, 25% are CDs. Jamal has sold 4 more T-shirts than CDs. How much profit has the band earned from Jamal's sales?
3. Bao and Linda have each collected $400 for the fundraiser. Bao sold only T-shirts, and Linda sold only CDs. Which student raised more money? What was the difference in the amounts the students raised?
4. The flutists' goal is to raise 18% of the total amount needed. The trumpeters' goal is 85% of the flutists' goal. If both of these groups meet their goals, which group raised more money? What was the difference in the amounts the students raised?
5. The band raised 112% of its goal. If 40% of the profit came from calendar sales, what was the band's profit from calendar sales?

1. Mark's profit = $102.40

2. Jamal's profit = $156

3. Bao raised more money, making a profit of $208 than Linda's $180.  The difference in the amounts the students raise was $28.

4.  Flutists raised more money than Trumpeters, with the difference as $256.50

5. Band's profit from calendar sales = $4,256

Step-by-step explanation:

a) Data and Calculations:

Item                  Selling Price      Band's Profit    Band Fundraiser

CD Calendar             $16                  45%               100

Calendar T-Shirt       $20                 38%                 96

T-Shirts dcal T          $10                  52%                 40

Total                                                                        236

1. Martha's sales:

CD profit = 45% x $16 x 5 =     $36.00

Calendars = 38% x $20 X 6 = $45.60

T- Shirts = 52% x $10 x 4 =      $20.80

Total profits =                         $102.40

2. Jamal's sales:

CD profit = 45% x $16 x 6 =     $43.20

Calendars = 38% x $20 X 8 = $60.80

T- Shirts = 52% x $10 x 10 =    $52.00

Total profits =                         $156.00

3. Bao and Linda

                     Bao            Linda

T-shirts          40

CDs                                   25

Price             $10              $16

Total sales  $400          $400

profit  %         52%         45%

Profit margin $208        $180

Difference in profit = $28

4.                        Flutists' Goal

Goal                   18% of total

Amount raised  $1,710 = 18% of $9,500

                        Trumpeters' Goal

Goa in % =         85% of flutists' goal

= 85% of $1,710 = $1,453.50

Difference in amount raise = 15% of $1,710 = $256.50

5. Total money raise = $9,500 x 112% = $10,640

Calendar's profit = 40% of $10,640 = $4,256

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

answer: 4  

the square root of 16 is 4. it is a very simple mathematic concept. a square root when a number multiplied by itself will result in a number. here, the number 16 comes when 4 is multiplied by 4. hence the square root of 16 is 4. you can always figure out a square root by the inverse operation of squaring.