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

Find the value of x. images attached

Answers

Answer:

The answer is option A

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we use tan

We have

[tex] \tan(26) = \frac{42}{x} \\ x \tan(26) = 42 \\ x = \frac{42}{ \tan(26) } \\ x = 86.1127613...[/tex]

We have the final answer as

86.113°

Hope this helps you

I think it’s A (I hope I’m not wrong)

in a class of 36,19 read bioogy,16 read chemistry and 5 were not allowed to read both subjects​

Answers

Answer:

not hjyftyi uit yfiu hyr k

Step-by-step explanation:

sorry just i need some points

its urgent

The polynomial p(x)=3x^3-5x^2-4x+4 has a known factor of (x-2)

Answers

Answer:

3x^2-x-2 or (x+1) (3x-2) (x-2)

Step-by-step explanation:

I'm assuming you have to divide:

(x-2)[tex]\sqrt{3x^3-5x^2-4x+4}[/tex]

     

Hope this helps.

Answer:

p(x)=(x+1)(3x-2)(x-2)

Step-by-step explanation:

What is the lowest range of the function shown on the graph?

Answers

Answer:

C.-2

Step-by-step explanation:

The vertex is at (3,-2), this can find the lowest range because since both sides of the function go up from this point there will be no points beneath it. Since the range is Y value the minimum would be -2 because this is the Y value of the vertex. You can check the graph to prove this because there are not any y-values equal to less than -2.

The choir and band at Thomas Junior high's sold cookie dough for their fundraiser The choir sold the cookie dough for $2 per bucket and decided to spend $4 on material to make posters for advertising.the band sold the cookie dough for $3 per bucket but did not advertise for many bucket of cookie dough, x, would both clubs have the same profit?​

Answers

Answer:

no.

Step-by-step explanation:

Find the solution to y. For your answer just write the number do not write any symbols or variables. For instance if x = 2, just write 2 in the answer box provided.

-10 + y = 3

Answers

Answer:

Step-by-step explanation:

-10 + y = 3                 Add 10 to both sides

-10+10+y = 3 + 10     Combine

y = 13

So the answer is 13

You have to do something to get the answer. Algebra is based on logical steps. You don't learn much by seeing 13.

MiniMouse received an order of bows for her store. The order had 3 boxes containing bows and 2 bows that were not in a box. Each box contained an equal number of bows. The order had 146 bows. What is n, the number of bows which should be in each box? Write and solve the equation.

Answers

Answer:

Step-by-step explanation:

If Mini has a total of 146 bows, then you should subtract 2 because those are not in the boxes.

146 - 2 = 144    144 ÷ 3 = 48.   This means that there are 48 bows in each box.

x-5
x+3
What are the restrictions?

Answers

Let's simplify step-by-step. Sowwy im late

x- 5x + 3

= x + - 5x + 3

combine like terms:

= x + - 5x + 3

= (x + - 5x + (3)

= -4x + 3

Which one?
A. B. C. or D?​

Answers

Answer: D 3sqrt2

Step-by-step explanation:

6x3=18

Sqrt of 18 = 3sqrt2

Option d is the answer

A department store buys 200 shirts at a cost of $4,800 and sells them at a selling price of $30
each. Find the percent markup.

Answers

Answer:

25%

Thats the answer according to my calculations.

Answer:25%

Step-by-step explanation:

(too lazy too write anything here)

What is the quotient?
(-3)
(-3)2
Og
9
O 9

Answers

Answer:

The answer to your problem is negative 9

2. Emily was going to her hotel. It took her 4 hours to get there after work. When she was driving nome she decided to go 15 miles per hour faster. which let her get home 1 hour earlier. How fast did she drive going to the hotel I 3. Give an example of a linear equation that has (a) no solution and ib) infinitely many solutions​

Answers

Answer:

She could not even fit in the hotel in the first place

Step-by-step explanation:

x — бу + 2x = 5 2x – 3y+z = 4 3х +4y - z = -2


help on how to do it , its about substitution. ​

Answers

Solve the following system of equations for x: 4x + 6y = 68 2x + 6y = 76  A. x = - 14 B. None of these. C. x = - 4 D. x = 14 E. x = 4
Top answer · 3 votes
option C is correct More

express 12 1/3 in simplest radical form

Answers

Answer:

37/3

Step-by-step explanation:

Convert mixed numbers to improper fraction :

What value is missing from the table?

Answers

Answer:

12

Step-by-step explanation:

15/1.25 is 12

Answer:

12

Step-by-step explanation:

Which describes the graph of y = (x - 5)2 - 4?
O A. Opens up with a vertex at (5, -4)
B. Opens down with a vertex at (-5,-4)
ting
C. Opens up with a vertex at (-5,-4)
O D. Opens down with a vertex at (5,-4)

Answers

Answer:

A. Opens up with a vertex at (5,-4)

Step-by-step explanation:

Apex

Answer: A. Opens up with a vertex at (5,-4)

Step-by-step explanation:

11x - 8 = 4x - 3

solve for x​

Answers

Answer:

7×=5 ×=5/7

Step-by-step explanation:

What is the equation of the line that passes through the point (6,-4) and has a
slope of -1/6

Answers

Answer:

y = -1/6x-3

hope this helps

Answer:

x+6y+18=0

Step-by-step explanation:

we have to use (y-y1)=m(x-x1)

now,(x1,y1)=(6,-4),m=-1/6

so, (y+4)=-1/6(x-6)

or,6y+24=-x+6

or,x+6y+24-6=0

x+6y+18=0 is the required equation.

find the x and why intercepts of the graph of the equation x + 2y = 10

NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

To find the x-intercept and y-intercept of the equation we need to understand what is an intercept. Intercept means to intersect/cut so x-intercept means the equation cuts the x-axis and y-intercept means the equation cuts the y-axis.

So if the equation cuts the x-axis the coordinate should be [tex](x,0)[/tex]  and if the equation cuts the y-axis the coordinate should be [tex](0,y)[/tex] , and since the equation satisfies these both points in other words these two points lie on the line they can be put into the equation. So here we go,

For x-intercept

[tex]x+2y=10\\x+2(0)=10\\x=10[/tex]

so the x-intercept is (10,0)

For y-intercept

[tex]x+2y=10\\0+2y=10\\2y=10\\y=10/2\\y=5[/tex]

so the y-intercept is (0,5)

I also have attached an example of how intercepts looks like you can take a look i plotted the graph an you can see our answers check out.

Convert to a decimal rounded to the nearest hundredth: 8/11

Answers

Answer:

.72 and on going

Step-by-step explanation:

You have started your own online business selling dvds. You sell twenty four DVD’s per week online. How many DVDs do you sell in six weeks?

Answers

the answer is 144 just multiply 24x6

Answer:

144 multiply 24 six times 24x6

Can some one help me ASAP please

Answers

Answer:

5

Step-by-step explanation:

5 is your answer because you just multiply 69x5 and you get 345. Hope this helps :)

1st shape has a 4 2nd shape has a 6 pls help-T T
I don’t know how to do this-

Answers

Answer:

2.5

Step-by-step explanation:

because you can tell by the numbers and how close they are then u have to divide

what is the answer if u do x=25(x+4)

Answers

Answer:

-25 over 6 as a fraction or -4 and 1 over 6 as simplified fraction or 4.16 as a decimal

Step-by-step explanation:

hopefully that helps you

Max is x years . Brother is 8 years older , sister is 12 years younger.total age.is 50 years.how old are they ?

Answers

Answer:

30

Step-by-step explanation:

12 + 8 = 20 so that means 50-20= 30 so max is 30 years old

x+8=b
x-12=s
X+b+s=50 then
x+x+8+x-12=50
So 3x-4=50
Then 3x=54
So x=18
Then the brother is 26 and the sister is 6
Check 26+18+6=50

What is the measure of angle F?

A. Cannot be determined
B. 65°
C. 55°
D. 75°

Answers

Answer:

65 degrees since both opposite sides are 10

Answer:

65 degrees

Step-by-step explanation:

Just took the test

What is the coordinate of point P on the line segment AB that is 3/4 of the distance from A to B for A(2,5) and B(6,9)?

Answers

Answer:

p  is (3.71, 6.71)

Step-by-step explanation:

Given that p is at the distance of 3/4 from A to B

it mean that point p divides the line AB into 3:4 ratio.

and

if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then

coordinates of point p (x,y) is given

p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )

________________________________________________

Given the points AB

A(2,5)

B(6,9)

m:n = 3:4

thus,

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (26/7 , y = 47/7 )

P ( x = 3.71, y = 6.71)

Thus, coordinates of point p  is (3.71, 6.71) which is  at  3/4 of the distance from A to B for A(2,5) and B(6,9)/

Given h(x)=-3x-2,solve for x when h(x)=1​

Answers

Answer:

-5

Step-by-step explanation:

The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given funciton,h(x) = -3x - 2

For h(x) = 1

1 = -3x - 2

1 + 2 = -3x

3 = -3x

x = -1

Hence "The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1".

For more about the function,

brainly.com/question/23712366

#SPJ2

Complete the equation of the line through(−6,−5),(-4,-4)

Answers

Answer:

y=ax+b

bring in (-6,-5)

=>-5=-6a+b

=>6a-5=b

bring in (-4,-4)

=>-4=-4a+b

=>4a-4=b

b=6a-5=4a-4

6a-5=4a-4

2a=1

a=1/2

then b=6*(1/2)-5=-2

y=ax+b

=>y=(1/2)x-2

Rory is at the local mall and her favorite type of jeggings are on sale. The jeggings are now
priced at $7 per pair, tax free. She has $27 with her, but she needs to have $6 leftover to
spend on a movie theater ticket.
Which inequality represents how many pairs of jeggings Rory can buy, where / represents
the number of jeggings?

Answers

Answer:

j ≤ 3

Step-by-step explanation:

Since she has $27 with her and needs a balance if $6, the amount of money she can spend on buying the jeggings will be $27-$6 = $21

This means that she has $21 to spend on buying the jeggins

From the question, one jeggings cost $7, so the maximum number of jeggings she can buy is 21/7 = 3

So the inequality that represents this will be;

j ≤ 3

This is because she can decide to buy less than 3, but never can she buy more than 3 because of her budgetary constraints

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