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


Related Questions

Expressions equivalent to (7^3 x^4)^0

Answers

Answer:

Step-by-step explanation:

Any number or variable to the power of 0 is 1

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

by looking at the pattern , find the missing term​

Answers

Answer:

where the pattern??????

Answer:

where is the pattern

Step-by-step explanation:

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

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

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
He has 1/8 pound left

I’ll give 10 points and brainliest

Answers

Answer:

Step-by-step explanation:

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

-4 -(-16 + 6) - 12

-4 - (-10) - 12

-4 + 10 - 12

6 - 12 = -6

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

Please help (I give brainliest and follow you)

Answers

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

Answer: B. (-2.0)

Step-by-step explanation:

(X,Y)

You go over -2 on the X

And stay at 0 on the Y

So it would be (-2,0)

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

03.02) If g(x) = x2 + 2, find g(3). (2 points) 9 8 11 6 4. (03.02) If g(x) = 2(x − 4), find the value of x if g(x) = 20. (2 points) 32 12 14 10 5. (03.02) Michelle rents a movie for a flat fee of $1.50 plus an additional $1.25 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Michelle has the movie. (2 points) c(x) = 1.50 + 1.25x c(x) = 1.50x + 1.25 c(x) = 2.75 c(x) = (1.50 + 1.25)x 6. (03.02) Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)? (2 points) This is the average number of days the house stayed on the market before being sold for $150,000. The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold. The house sold for $150,000. The house stayed on the market for an average of 150 days before being sold.

Answers

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

Answers

Answer:

79.94688

Step-by-step explanation:

w is no more than -7

Answers

Answer:

w≤-7

Step-by-step explanation:

No more than means it has to be -7 or less so w is no more than -7 is w≤-7

Hope this helps!

Answer:

I agree if that's what you say it mean

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

What are the following properties:
4k−3−2k=2k+5−2k

2k−3=5

2k−3+3=5+3

2k=8

2k2=82

k=4

Answers

Answer:

k4-3+3=10k

Step-by-step explanation:

Answer:

4k-3+3=10k

Step-by-step explanation:

4k-3+3=10k

Victor runs 3 laps around the track every 5 minutes. How many laps does Victor run in 1 minute?

Answers

Answer:

Victor runs 0.6 of a lap in 1 minute

Step-by-step explanation:

From the question;

3 laps = 5 minutes

x laps = 1 minute

3 * 1 = 5 * x

3 = 5x

x = 3/5

x = 0.6

Victor runs 0.6 of a lap in a minute

I need help fast I’m timed!

Answers

Answer:

-5

Step-by-step explanation:

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:

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

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

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

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!

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

rewrite the quadratic function f(x) = (2x -3)(x+4) in standard form

Answers

Answer:

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

Step-by-step explanation:

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.

Which statement about the number 49 is true

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.

James bought a car and paid for it in equal payments of $854. After making 41 payments, he still had to pay $16,331.

Answers

What is this asking? He’s Paid $35,014
Oh 19.122 payments left

What is the value of x?
(5х)

110°
110°
70
14

Answers

Answer:

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

Can someone help me on questions 10-15

Answers

Answer:

10. Supplementary

11. Congruent

12. Congruent.

13 . congruent

14 supplement

15 supplementary

Hope this helps you Do mark as brainliest!

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

a. all real numbers
b. x>=2
c. x>3
d. y=(0,8)

Answers

Answer:

A or D i tink

Step-by-step explanation:

becuz i tink b and c is not to me

Answer: (a) all real numbers

Step-by-step explanation:

The arrows mean that the line continues for infinity, so the x continues to change for infinity.

Can anyone do this question? ​

Answers

Answer:

its simple 5.90

Step-by-step explanation:

Other Questions
give the divisions of deccan plateau. write a note on deccan trap What is the term used for a representative democracy? What is the slope of a line perpendicular to the line whose equation is12x 9y = 135. Fully reduce your answer. Read through the scenarios below.SCENARIO 1: Your friend is starting to skip a lot of classesand looks high at school a lot. This is a new behaviour foryour friend, who was never into drinking or smoking up inthe past. Now your friend does both a lot.Your task: Talk to your coach about your concernsbecause both you and your friend are on the team andyou feel close to the coach.create a script based of this situation When was Hitler Youth started and by whom? If f(x)=x^2 and g(x) =3x-1 find [g f](x) what is the answer if u do x=25(x+4) Q13. A stone is dropped from a height of 5 km. The distance it falls through varies directly with thesquare of the time taken to fall through that distance. If it falls 64 min 4 seconds. find the distance thestone covers in the 5th second?A. 36 mB. 58 mC. 72 mD. 100 m Quines fueron las personas asesinadas en el levantamiento de 1932? Determine which postulate or theorem can be used to prove thatAABC= ADCB.A. SSSB. ASAC. SASD. AAS Why do you think microblogging platforms have become popular whenregular blogging platforms already exist? Consider the following story: Woody loves bowling, and he also loves Beth. Woody does not particularly like the beach. The best outcome for Woody is to be at the bowling alley with Beth. Given the choice of going bowling alone or being at the beach with Beth, Woody would choose to be with Beth. The worst outcome for Woody is to be at the beach alone. Beth loves the beach, and she also loves Woody. Beth does not particularly like bowling. The best outcome for Beth is to be at the beach with Woody. Given the choice of going to the beach alone or bowling with Woody, Beth would choose to be with Woody. The worst outcome for Beth is to be at the bowling alley alone. Woody and Beth plan to meet after work, but each has forgotten where. Suppose the following payoff matrix tells the story, given Woody and Beth's preferences above. Complete the matrix by filling in the missing payoffs. (Enter your responses as integers.) Beth Bowling Beach Woody Bowling Beach a. Find all Nash equilibria in this game, if any. b. Is this game an archetype? If yes, identify the archetype and explain your selection. SOMEONE PLSS HELP MEE!!!! ASAP!! Using complete sentences, describe the characteristics of integrity. HeLp AsAp!!!!!! How long would it take you to hop 30 meters based on your speed for the 5-meter trial? Show your work!Hopping = Distance-5 mTime-3.41Speed-1.46 informative essay on bohrs Thomson's and rutherford model of the atom An airplane pilot over the Pacific sights a ship wreck at an angle of depression of 5. At this time, the horizontal distance from the airplane to the wreck is 4629 meters. What is the height of the plane to the nearest meter?405 m The fullness of Divine Revelation is? Which term is described as a shelf of undersea land reaching a depth of about 200 meters (656 feet) and extending out from the shoreline? please help meeeeeeeeeeeeee