Saved $500 from his summer job so he would have spending money during the school year. He withdraws $12 from his account each week so a linear function models his plan. Mellissa made a similar plan. Compare the transactions

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Savings = \$500[/tex]

[tex]Withdrawal = \$12[/tex] weekly

Required

The question is incomplete as the linear function or table or graph of Melissa's plan is not given.

The available details can only be used to solve the function of the given individual

Let the number of weeks be w.

So: the amount left in w weeks is:

[tex]Amount = Savings - Withdrawal * w[/tex]

[tex]Amount = 500- 12* w[/tex]

[tex]Amount = 500- 12w[/tex]

Represent as a function

[tex]f(w)= 500- 12w[/tex]

To solve the amount left at the end of a certain week (say week 5), simply substitute 5 for w in [tex]f(w)= 500- 12w[/tex]

[tex]f(5) = 500 - 12 * 5[/tex]

[tex]f(5) = 440[/tex]


Related Questions

Dan and Lisa each improved their yards by planting daylilies and ivies. They bought their supplies from the same store. Dan spent $78 on 6 daylilies and 8 pots of ivies. Lisa spent $123 on 9 daylilies and 13 pots of ivies. What is the cost of one daylily? What is the cost of one pot of ivies?

Answers

Answer:

Cost of daylillies = $5

Cost of pot = $6

Step-by-step explanation:

Let

Cost of daylillies = x

Cost of pot = y

6x + 8y = 78 (1)

9x + 13y = 123 (2)

Multiply (1) by 9 and (2) by 6 to eliminate x

54x + 72y = 702 (3)

54x + 78y = 738 (4)

Subtract (3) from (4)

78y - 72y = 738 - 702

6y = 36

y = 36/6

y = 6

Substitute y = 6 into (1)

6x + 8y = 78 (1)

6x + 8(6) = 78

6x + 48 = 78

6x = 78 - 48

6x = 30

x = 30/6

x = 5

Cost of daylillies = $5

Cost of pot = $6

Use the Distributive Property to simplify the expression.I GIVE BRAINLEST AWNSER
6(6+y)

Answers

Answer:

36+6y

Step-by-step explanation:

you have to multiply 6 on 6+y because distributive property basically means to share out so you do 6(6)+(6)y

6(6) equals 36 (6x6) and 6(y) is just 6y

36+6y

Find the volume of the rectangular pyramid

Answers

Answer:

I think it's 15

Step-by-step explanation:

Volume is basically just adding length, width, and height

1. A rectangular prism and its dimensions are shown in the
diagram.
2 in.
3.4 in.
8.2 in.
What is the total surface area of this rectangular prism in
square inches?

Answers

Answer:

102.16

Step-by-step explanation:

2(2*3.4+2*8.2+3.4*8.2)=102.16

Subtract.
–5 -(-4)= helppppp pleaseeeeee

Answers

Answer:

-1

Step-by-step explanation:

-5 -(-4)

- 5 + 4  =    (two negatives together make a positive sign)

-1

Answer:

-1

. . .. . . . . . . . . .. . . . .

Hey can anyone please help me with these t questions asap?

Answers

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108.  !08 splited by 4 is 27.  

For 22 112-70 is 42.  There are 7 seats per row so 42/7= is 6 empty rows.

What is the slope of the line that contains these points?
x
-4
1
6
11
y
-3
-2
-1
0

Answers

Answer:

Step-by-step explanation:

The slope of the line y = (x/4) - 23/4 is 1/4.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The points,

x → y

-4 → -3

1   →  -2

6 →   -1

11  →   0

From the table, we interpreted 2 points (-4, -3) and (11, 0)

If a line passes through two points (x₁ ,y₁) and (x₂, y₂),

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (0+3) / (11+4)

m = 1/5

So, the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁)  (x - x₁)

y - y₁ =m (x - x₁)

y +3 = (1/4) (x -11)

y = (x / 4) - 11/4 -3

y = (x/4) - 23/4

Therefore, the slope of the line is m = 1/5.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Eight times a number increased by 4 times the number is less than 36.What is the number?​

Answers

Answer:

1 or 2

Step-by-step explanation:

8x + 4x < 36

the number x could either be 1 or 2

1. A rotation is a type of transformation that turns a figure around a fixed point. What is this point called?
A Angle of rotation
B. Center of rotation
C. Line of rotation
D. Point of rotation

Answers

The answer is B. Center of rotation

3/4x+5=17.. solve for X.. help?

Answers

Answer:

x = 16

Step-by-step explanation:

If we subtract by 5 on both sides we get that 3/4x = 12, and if we then multiply by 4/3 on both sides we get that x = 12 * 4/3, which means that x = 16.

Answer:

0.0625

Step-by-step explanation:

Which rectangle has an area of 40 square units?

Answers

Answer:D

Step-by-step explanation:

multiply the squares together to find the answer of 40

Answer: A :)

Step-by-step explanation:

Find the discriminant.
x2–3x–9=0

Answers

Answer:

45

Step-by-step explanation:

The discriminant is b^2 - 4(a)(c) so just plug all the values in.

(-3)^2 - 4(1)(-9) = 45

Plz help me with this

Answers

18 divided by two I think so if I am right the answer would be 9

What is the x-intercept for the equation: 3x + by = 18? *

Answers

i’m going to help u with this question but what do they mean by “by” could u explain?

2.48 rounded to the nearest cent

Answers

Answer:

2

Step-by-step explanation:

.48 rounds down

.5 rounds up

Every week for 40 weeks, Abeke earned $76 selling ice cream and 35$ delivering newspapers. Write a numerical expression to show how much money Abeke earned in 40 weeks.

Answers

Answer: 40 x  (76+35)

Step-by-step explanation:

Given: Every week Abeke earned,

$76 by selling ice cream

$35 by delivering newspapers.

i.e. Total amount earned in 1 week = $ (76+35)

Now Total amount earned in 40 weeks = 40 x  (76+35)

The numerical expression to show how much money( in dollars) Abeke earned in 40 weeks = 40 x  (76+35)

We have to simplify it to get the total money earned in 40 weeks i..e. $4440.

3. The trapezoid below contains a square and two right triangles. Find the perimeter of the trapezoid.

Answers

Answer:

Perimeter of trapezoid = 25.66 cm

Step-by-step explanation:

Trapezoid ABCD contains two triangles ΔABF, ΔCDE and a square with side length 4 cm.

By applying Pythagoras theorem in ΔABF,

AB² = BF² + AF²

AB² = 4² + 3²

AB = [tex]\sqrt{16+9}[/tex]

AB = 5 cm

Similarly, By applying Pythagoras theorem in ΔCDE,

CD² = DE² + CE²

CD² = 4² + 4²

CD = [tex]\sqrt{32}[/tex]

CD =5.66 cm

Perimeter of the given trapezoid = AB + BC + CD + AD

= 5 + 4 + 5.66 + (3 + 4 + 4)

= 25.66 cm

PLEASE HELP PLEASE ​

Answers

Answer:

Median?

Step-by-step explanation:

Question is kinda unclear.

Mean: Average of the data values

Median: Middle of all the data values

Mode: Amount of times a value appears

Range: Difference between largest and smallest values.

When is the power to power rule used?

Answers

Answer:

The "power rule" tells us that to raise a power to a power, just multiply the exponents.

Step-by-step explanation:

math

The area of a triangle is 30 square inches. What is the length of the base if the height is 6 centimeters?

Answers

Answer:

x = 10 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = x, h = 6 and A = 30 , then

[tex]\frac{1}{2}[/tex] × 6 × x = 30

3x = 30 ( divide both sides by 3 )

x = 10

The length of the base is 25.4 cm.

A triangle is a 3-sided polygon. The sum of angles in a triangle is 180 degrees.

Types of triangle

Equilateral triangle Scalene triangle Isosceles triangleRight triangle

Length of the base of a triangle = (2 x area) / height

1 inch = 2.54 cm

30 x 2.54 = 76.20cm

(2 x 76.20) / 6 = 25.4 cm

A similar question was answered here: https://brainly.com/question/11952845

Aiuda plis necesito para hooooy

Answers

Answers:

No sé lo que eso significa, pero ¿puedes marcarme mentalmente?

Step-by-step explanation:

Jessica had a group of friends over to celebrate her birthday. Each person ate 3/8 of a pizza. Five friends came over. What model would show the total amount of pizza Jessica's friends ate

Answers

Can we see a picture of the model plz

You get a student loan from the New Mexico educational assistance foundation to pay for your educational expenses this year . Find the interest on the loan if you borrowed $5,000 at 5% interest for 1 year.

Answers

Answer:

the interest gathered on the loan is $250

Step-by-step explanation:

5% interest on $5,000 for one year would be $250

the total amount wlike be $5250 but the question seems to only ask for the interest

convert 5% to a decimal to multiply to find interest

0.05•5000 gives us the interest for the year

hope this helps <3

Triangle CDE is dilated by a scale factor of 1/ 3 to form triangle C'D'E'. Side CD measures 42. What is the measure of side C'D'? ASAP!!!

Answers

Answer:14

Step-by-step explanation:

The measure of C'D' is 14.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Triangle CDE is dilated by a scale factor of 1/3 to form triangle C'D'E'.

This means,

CD = 42

C'D' = 1/3 x 42 = 14

Thus,

C'D' is 14.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

question is in the photo​

Answers

9514 1404 393

Answer:

  ∠D = 68°

Step-by-step explanation:

In a quadrilateral that is inscribed in a circle, opposite angles are supplementary.

  ∠D = 180° - ∠B

  ∠D = 180° -112°

  ∠D = 68°

Help help i give brainlist

Answers

Answer:

your answer option 1 and 4

Step-by-step explanation:

have a nice day ^_^

30 POINTS // URGENT

On the first day of a sale, a camera was reduced by $21.60. This represented 12% off the original price. On the last day of the sale, the camera was sold for 70% of the original price. What was the final selling price of the camera?

GIVING BRAINLIEST to best explained answer. If you respond with an irrelevant answer I will report the question and your answer and your points will be taken away.

Repost.

MIDDLE SCHOOL LEVEL MATH

Answers

Answer:

54$ is the final selling price of the camera


Determine all of the roots of the polynomial P(x) = x3 - 8x2 - 8x + 24.

Answers

Answer: (x^2−10x+12)(x+2)

Step-by-step explanation:

Factor x^3−8x^2-8x+24 using Polynomial Division

You earned a 70% on a recent math test. You answered 21 questions correctly. How many problems were on the test?

Answers

Answer:

I believe the answer to your question would be 30.

The answer would be 30

Find the sum of 16y2 and -5y2

Answers

Answer:

11y²

Step-by-step explanation:

Subtract 5y² from 16y²

Answer:

11y^2

Step-by-step explanation:

16y^2 and -5y^2 are "like terms," so can be added:

16y^2

- 5y^2

-----------

11y^2

Subtract 9a from -15a:

-15a

- 9a

-------

-24a

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