1. At the beginning of the month, Michael had $22 in his account at the school bookstore. Use a variable to represent the
unknown quantity in each transaction below and write an equation to represent it. Then represent each transaction on a
number line. What is the unknown quantity in each case?
First he bought some notebooks and pens that cost $16.
Then he deposited some more money and his account balance was $27.
Then he bought a book for English class that cost $39.
Then he deposited exactly enough money so that he paid off his debt to the bookstore.

Answer:

1) The initial down payment is $1,340

2) The total monthly payment is $7,200

3) The total cost of the jet ski on the installment plan is $8,540

4) The finance charge is $1,840

Step-by-step explanation:

The financing model of Sum-R-Fun for a jet ski are as follows;

Sum-R-Fun selling price of a jet ski = $6,700

The initial down payment = 20% of the selling price of the jet ski

The amount the customer pays per month = $200

The duration or the period of the monthly payment = 3 years

1) The initial down payment = 20/100 × $6,700 = $1,340

2) The total monthly payment = Number of months per year × Number of years × The monthly (installment) payment  

∴ The total monthly payment = 12 × 3 × $200 = $7,200

3) The total cost of the jet ski on the installment plan = The initial down payment + The total monthly payment

∴ The total cost of the jet ski on the installment plan = $1,340 + $7,200 = $8,540

4) The finance charge is the cost of the credit given as follows;

The finance charge = The total cost of the jet ski on the installment plan - Sum-R-Fun selling price of a jet ski

∴ The finance charge = $8,540 - $6,700 = $1,840

Answer:

H.

Step-by-step explanation:

The graph goes through 5 of the x -axis and -4 on the y axis

Answer:

graph H. represent the line that has intercepts at (5,0) and (0,-4)

Answer:

36 unit^2

Step-by-step explanation:

the area of the rectangular portion = 8 x 3 = 24 unit^2

the area of the triangular portion = 1/2 x 8 x 3 = 12 unit^2

total area of the trapezoid = 36 unit^2

Answer:

1-1+1

Step-by-step explanation: IT e Zplios get good adt da hood 1v1 ro ur e zclaps

Answer:

1-1+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

30.00*30%=9 off

30-9=21.00

Answer:

Step-by-step explanation:

Omit Triangle picture

Answer:

b≤−6

here u go

Answer:

Step-by-step explanation:

To solve an inequality, we will solve just like a normal equation. The goal is to isolate b, so we can determine the set of values it can take on.

We need to reverse the operation - 5.3, so we add 5.3.

-1.2b - 5.3 + 5.3 ≥ 1.9 + 5.3

-1.2b ≥ 7.2

We need to reverse the multiplication that is multiplying b by -1.2, so we will divide. However, we must remember an important rule first.

Important: When we divide by a negative number in an inequality, we must reverse the inequality sign, so ≥ becomes ≤.

-1.2b / -1.2 ≥ 7.2 / -1.2

b ≤ -6 (remember to reverse the sign!)

We now substitute our answer in and see if it is correct. We will use a number that is smaller than -6, for example, -8.

-1.2(-8) - 5.3 ≥ 1.9

9.6 - 5.3 ≥ 1.9

4.3 ≥ 1.9 ✅

We can check again with -6, since this and all numbers smaller than it should be a solution set.

-1.2(-6) - 5.3 ≥ 1.9

7.2 - 5.3 ≥ 1.9

1.9 ≥ 1.9 ✅

Answer:

Her utility bill decreased

Step-by-step explanation:

$-9.66 is closer to 0 but before her bill was -$25.66 so that's farther away so her bill decreased.

Nancy’s balance increased: -9.66 > -25.66.

Answer:

.007, .08, .1, .2, .6, .25, .75, 1.003,  

Step-by-step explanation:

.007,.08,.1,.2,.25,.7,.75, 1.003

Answer:

15.8kg

Step-by-step explanation

34.76/2.2 =15.8kg

Answer:

x= 7

x=6

Step-by-step explanation:

5+2x=19

Subtract 5 from both sides

so...

2x=14

then divide by two to isolate the x

so..

x=7

4x+3=27

Subtract 3 from both sides

so...

4x=24

then divide by 4 to isolate the x

so....

x=6

Answer:  x = 7

       5 + 2x = 19

-5           2x = 14      -5

/2              x = 7       /2

Answer:  x = 6

       4x + 3 = 27

-3           4x = 24       -3

/4             x = 6         /4

Hope this helps :)

Answer:

Carlos Zambrano earned $340,000 pitching for the Chicago Cubs.

Step-by-step explanation:

His salary wasn't totaled by game, his performance wasn't evaluated. Same on the contract for each year.

Answer:

equation is profit is equal to income - expenses

Glenn is restoring a car. He needs earns $1000 if he restored one. He has to buy his own materials which costs a total of $300. What is the total profit he'll make.

To calculate profit

p=i-e

p=1000-300

profit=$700

Answer:

Step-by-step explanation:

16^2= 16*16 or 256

Answer: 256

Step-by-step explanation:

Just do 16 times 16 so it would be 256

Answer:

the answer po is letter c

Step-by-step explanation:

Tinatamad akong mag explain basta tama 'yan

Answer:

David gets £24, Stephen gets £36, and June gets £36.

Step-by-step explanation:

Firstly, add the ratio values together.

2:3:3  ⇒  2 + 3 + 3 = 8

Next, divide £96 (your total) by 8.

£96 ÷ 8 = £12

Now, we have the number of pounds for 1 value.

Multiply 12 by each ratio value.

12 × 2 : 12 × 3 : 12 × 3

= 24:36:36

Therefore, David gets £24, Stephen gets £36, and June gets £36.

I hope this helped! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

David = £24

Stephen = £36

June = £36

Step-by-step explanation:

Total amount of money = £96

Ratio = 2:3:3

Total ratio = 2+3+3 = 8

David's share = 2÷8×96 = £24

Stephen's share = 3÷8×96 = £36

June's share = 3÷8×96 = £36

Answer:(0,4)

Step-by-step explanation:

4x+5y=20

4(0)+5y=20

5y=20

5x/5=20/5

y=4

4x+5(4)=20

4x+20=20

   -20   -20

4x=0

4x/4=0/4

x=0

4x+5y=20

4(0)+5(4)=20

0+20=20

20=20

I think this is right

Answer:

-51

Step-by-step explanation:

Answer:

34????????? I think its 34 so sorry if I'm wrong

Step-by-step explanation:

Answer:

They are all proportional

Step-by-step explanation:

when an x value is inputted, they output a y value.

If you could elaborate on the question, maybe I can help you solve your problem but this all i can answer with what working with

Answer:

a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x)

Step-by-step explanation:

Answer:

spinning an add number

Answer:

30

Step-by-step explanation:

130+20=150. 180-150=30

Answer:

46 ÷ 5 3/4

Step-by-step explanation:

Expressions don't have equal signs.

Answer:

-24 because the -4*2=-8 and -8+7=-1, so -23-1=-24

Answer:

-2

Step-by-step explanation:

Slope of any parallel line to the line y=-2x-7 is -2

Answer:

lesser x=3/2

greater x= 3

Step-by-step explanation:

Answer: lesser x= -2

Greater x = -3/2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The magnitude and direction angle of 2(u + v) – 3w is 6.4 and 38.7°

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity.

Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

u = ⟨-2, 6⟩

v = ⟨3, 2⟩

w = ⟨-1, 4⟩

u + v = ⟨-2, 6⟩ + ⟨3, 2⟩

u + v = ⟨-2 + 3, 6 + 2⟩

u + v = ⟨1, 8⟩

2 (u + v) = 2 ⟨-1, 8⟩

2 (u + v) = ⟨2 • 1, 2 • 8⟩

2 (u + v) = ⟨2, 16⟩

-3 w = -3 ⟨-1, 4⟩

-3 w = ⟨-3 • (-1), -3 • 4⟩

-3 w = ⟨3, -12⟩

2 (u + v) - 3 w = 2 (u + v) + (-3 w)

2 (u + v) - 3 w = ⟨2, 16⟩ + ⟨3, -12⟩

2 (u + v) - 3 w = ⟨2 + 3, 16 + (-12)⟩

2 (u + v) - 3 w = ⟨5, 4⟩

Then the magnitude of this vector is

||2 (u + v) - 3 w|| = √(5² + 4²) = √41 ≈ 6.403

Hence, the magnitude and direction angle of 2(u + v) – 3w is 6.4 and 38.7°

Learn more about vectors, click;

https://brainly.com/question/29740341

#SPJ3

Answer:

21

Step-by-step explanation:

please pick me as brainliest

Answer:

b

Step-by-step explanation:

The sin trigonometric ratio for angle θ is given by 5/13.

A triangle is a polygon with three edges and three vertices. A triangle with one of the angle as 90 degrees is called right angled triangle. We can use Pythagoras theorem in right angled triangle as -

h² = b² + p²

There are also other different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a right angled triangle as shown in the image attached.

The sin trigonometric ratio is given by

sin (θ) = 5/13

Therefore, the sin trigonometric ratio for angle θ is given by 5/13.

To solve more questions on triangles, visit the link below-

brainly.com/question/25950519

#SPJ5

Answer:

1

Step-by-step explanation:

because if he invites 2 then he will have to spend 24 and if he invites 6 he'll have to spend 72 because 12×6 is 72