In 2019-2020, North Carolina spent $10,632 per student. The per-pupil spending has decreased at 6% per year. If this continues, what will be the per-pupil spending in 4 years?

Answers

Answer 1

Answer:

The per-pupil spending will be approximate $8,300 in 4 years

Step-by-step explanation:

Exponential Model

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the current quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The statistics of the years 2019-2020 at North Carolina indicate initial spending of Co=10,632 per student. The decaying rate is r=6% = 0.06 per year, thus the exponential model is:

[tex]C(t)=10,632\cdot(1-0.06)^t[/tex]

[tex]C(t)=10,632\cdot(0.94)^t[/tex]

where t is expressed in years.

We are required to know the expected spending for t= 4 years. Substitute t=4:

[tex]C(t)=10,632\cdot(0.94)^4\approx 8,300[/tex]

The per-pupil spending will be approximate $8,300 in 4 years


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Answer:

Step-by-step explanation:

Any number or variable to the power of 0 is 1

(7^3 x^4)^0 = 1

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25 POINTS what is the domain of the quadratic function graphed below?

a. all real numbers
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Answer:

A or D i tink

Step-by-step explanation:

becuz i tink b and c is not to me

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TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased a. Write a piecewise-defined function describing the cost of the boxes of tile. b. What is the cost of purchasing 5 boxes of tile? What it is the cost of purchasing 19 boxes of tile?​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

3 boxes or less = Cost of tiles = $48

4 - 8 boxes ;  cost = $45

9 - 19 boxes ; cost = $42

> 19 boxes ; cost = $38

Cost of purchasing 5 boxes of tiles :

$45 * 5 = $225

Cost of purchasing 19 boxes :

$42 * 19 = $798

What is the value of x?
(5х)

110°
110°
70
14

Answers

Answer:

The answer to your question is :The value of 5× = 110°

Pauline orders wristbands from two different companies. • Company 1 sells each wristband for $2 and has free shipping. Company 2 sells each wristband for $1.25 and charges $6 for shipping per order. Write an equation to model the number of wristbands, w, for which the two companies charge the same amount.

Answers

Answer:

8 wristbands

Step-by-step explanation:

Let us assume that both of the company were ordered to deliver w wristbands.

The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:

2w

The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:

1.25w + 6

If both companies charge the same amount, hence:

2w = 1.25w + 6

2w - 1.25w = 6

0.75w = 6

w = 6/0.75

w = 8

The two companies charge the same amount for 8 wristbands

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Answers

What is this asking? He’s Paid $35,014
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Mr. Ortiz has 5/8 pound of oatmeal. He uses 4/5 of the oatmeal to bake muffins. How much oatmeal does Mr. Ortiz have left? Enter your answer in simplest form.​

Answers

He has 1/8 of a pound of oatmeal left
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What is the solution to 4x3 - 3x2 - 7x<0?

Answers

Answer:

[tex](-∞,1) , (0,\frac{7}{4})[/tex]

Step-by-step explanation:

Factor:

x(4x³-3x-7)<0

PLEASE HELP ITS DUE IN 5 MIN Solve for x in the following equation and upload a picture of your work step-by-step

Answers

Answer:

1.25 = X

Step-by-step explanation:

5-2x+2=12-4x-2x

Combine all like terms here.

7-2x=12-6x

Add 2x on both sides.

7=12-4x

Subtract 12 on both sides.

-5=-4x

Divide by -4.

1.25=X

Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.

f(x) = (x-b)(x-c)^2(x-d)^3

Answers

Answer:

f(x) = (x - 2)(x + 1)²(x - 4)³

Step-by-step explanation:

Multiplicity of a polynomial:

1). If the multiplicity is odd, the graph will cross the x-axis at that zero.

2). If the multiplicity is even, the graph will touch the x-axis at that zero.

Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.

Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.

So, the function will be,

f(x) = (x - 2)(x + 1)²(x - 4)³

Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3

Step-by-step explanation:

Can someone help me on questions 10-15

Answers

Answer:

10. Supplementary

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12. Congruent.

13 . congruent

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Hope this helps you Do mark as brainliest!

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Answers

Answer:

Victor runs 0.6 of a lap in 1 minute

Step-by-step explanation:

From the question;

3 laps = 5 minutes

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3 = 5x

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Victor runs 0.6 of a lap in a minute

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Answers

Answer:

f(x) = 2x^2+5x-12

Step-by-step explanation:

Please help (I give brainliest and follow you)

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(-2,0) option b is the correct answer

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Step-by-step explanation:

(X,Y)

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Answer:

slipknot is the answer to all your problems

Step-by-step explanation:

there is no explanation

18.08 x 1.3 + 2.12 then multiply the answer by 2.12
then add the 2 answers
i will give brainliest

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Answer:

79.94688

Step-by-step explanation:

I’ll give 10 points and brainliest

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Answer:

Step-by-step explanation:

-(-2)^2 - (8(-2)-2(-3)) + 4(-3)

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-4 - (-10) - 12

-4 + 10 - 12

6 - 12 = -6

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Answers

Answer:

F.

Step-by-step explanation:

Prime means that it is only divisible by 1 and itself, and we know that it is also divisible by 7, therefore it is a composite number because it has 1, 7, and 49 as factors.

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Answer:

its simple 5.90

Step-by-step explanation:

Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?

Answers

Answer:

161secs

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

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25x = 23*175

25x = 4025

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25x/25 = 4025/25

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A store is marking down the price of a television 25% from the original price of $250 which expression can be used to find the markdown price

Answers

Answer:

62.5%

Step-by-step explanation:

Thw price markdown will be 62.5%

Answer a I think

Step-by-step explanation:

Name the slope of a line parallel to y = -3x -2

Answers

y=-3x for two slopes to be parallel they have to have the same slope but different y intercepts

Part D
Compare your answers in parts B and C. Did your predictions for the coordinates of the reflected images match the actual results? Why or why

Answers

Answer/Step-by-step explanation:

Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.

PS;  PLATO does not have an answer this is my personal answer since I am also on this assignment.

Sorry if this response is late! Hope you did well! :)

The coordinates of the reflected images match the actual results because of the following reason.

What is coordinate?

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .

Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.

and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.

but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.

Learn more about coordinate here:

https://brainly.com/question/15300200

#SPJ2

help the extra pics are for the extra answers to the same questions.

Answers

Answer:

B

B

B

I think these are right

Step-by-step explanation:

All of them are bs.

Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet

Answers

The name of my shape is a parallelogram. The sides are:

7 feet7 feet10 feet10 feet

The perimeter is 34 feet because:

Step 1: Add smaller groups.

10 + 10 = 20

7 + 7 = 14.

Step 2: Add the two numbers.

14 + 20 = 34.

Hope this answer helps you!

If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms. b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.

Answers

This question is Incomplete

Complete Question

The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.

a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.

Answer:

a. 8.85kg of flour is left.

b. 2.95 bins

Step-by-step explanation:

The bakery bought 4 bags of flour containing 3.5 kg each.

Total kg of flour the Bakery bought : 4 × 3.5kg

= 14 kg of flour

0.475 kg of flour is needed to make a batch of muffins

1 batch of muffin = 0.475kg of flour

4 batches of muffins = ???

Cross Multiply

4 batches × 0.475kg/ 1 batch

= 1.9kg of flour was used.

0.65 kg is needed to make a loaf of bread.

1 loaf of bread = 0.65kg of flour

5 loaves of bread = ???

Cross Multiply

5 loaves × 0.65/1 loaf

= 3.25 kg of flour.

Total kg of flour used = 1.9kg + 3.25kg

= 5.15kg of flour.

The amount of flour left = 14kg - 5.15kg

= 8.85kg of flour is left.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour?

3 kg of flour is stored = 1 bin

8.85 kg of flour is stored = x

Cross Multiply

3kg × x = 8.85kg × 1 bin

x = 8.85 kg × 1 bin/3kg

x = 2.95 bins

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