A school district currently has 12,000 students. Based on declining enrollment figures, the number of students in the school district is expected to decline by 5% each year. Which of the following functions represents the number of students,
S
, in the school district after
n
years?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\text{Since the enrollment decreases every year this is exponential decay of the form}\\ \\ F=Ir^t\\ \\ F=12000(1-.05)^t\\ \\ S(n)=12000(0.95)^n[/tex]


Related Questions

Amy bought a diamond ring for $6,000. If the value
of the ring increases at a constant rate of 5.8% per
year, how long will it take for the ring to be worth
$19,000?
Show work

Answers

Answer: $13,308

5.8% of 6000 is 348. 348 times 21 is $7,308. add 6,000 to 7,308 and you get $13,308

Step-by-step explanation: amy likes cheap rings LOL

Answer:

54 3/4 years

Step-by-step explanation:

5.8% of 6,000= 348

348x54 3/4=19,053

hope it helps!

Can you help me with my work don’t send no link

Answers

b and d r correct yuh yuh

Answer:

A and C!

Step-by-step explanation:

a: for a just move all the terms not containing x to the right side of the equation!

c: divide each term by 4 and simplify!

-

hope this helped <3

Round to nearest degree.
8
х
11

Answers

Answer:

36

Step-by-step explanation:

tan^-1(8/11)=36.027

x + 6 = -6

please help me pls

Answers

x=12
explanation...



6
=
6


6
+
6
=
6
+
6
add both sides to the equation
and then simplify

James buys a shirt and a pair of socks on sale for 20% off. If the price of the shirt
before the sale was $26 and he spent a total of $26, what was the original price of
the socks? Round to the nearest hundredth, if necessary.

Answers

Answer:

The Price of socks is  

=

$

8

Explanation:

Given -

Discount 25%

Price of shirt before discount  

=

$

24

Amount spent on both shirt and socks after applying discount  

=

$

24

Assume the price of socks  

=

$

x

Then Shirt + Socks before discount =

$

(

24

+

x

)

After discount one has to pay 75% of the article.

Then -

75

100

(

24

+

x

)

=

24

0.75

(

24

+

x

)

=

24

18

+

0.75

x

=

24

0.75

x

=

24

18

=

6

x

=

6

0.75

=

8

The Price of socks is  

=

$

8

How to verify your answer -

One way

Price of shirt =$24

Price of socks =$8

Total =$32

Discount =25%

Discount for $32 is  

32

×

25

100

=

$

8

Amount one has to pay after discount  

=

32

8

=

$

24

Another way is -

Discount 25%

It means after discount it is enough if he pays 75% of the price.

In our case - Actual price is  

=

$

32

75% of $32 is  

=

32

×

75

100

=

2

Step-by-step explanation:

Simplify: 10x+2x-3= 9
A. x=-1
B. x=-2
C. x=1
D. x=2

Answers

Answer:

C. x = 1

Step-by-step explanation:

Combine like terms

10 + 2 − 3 = 9

12 − 3 = 9

Add 3 to both sides of the equation

12 − 3 + 3 = 9 + 3

Add the numbers

12 = 9 + 3

12 = 12

[tex]\frac{12x}{12} = \frac{12}{12}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]x = \frac{12}{12}[/tex]

Divide the numbers

x = 1

Therefore the correct answer is C. x = 1

Answer:

C. x = 1

Step-by-step explanation:

Have a great day

- For English class, George must read 168 pages in 7 days. What is the unit rate of
pages to days?

Answers

Answer:

168 pages/7 days = 24 pages/1 day

Hope that helps, dude.

6 of 7
£25 = 700 rubles, how many £ are in 1,260 rubles?
£

Answers

Answer:

45

Step-by-step explanation:

25 = 700

Y = 1260

Now you need to do cross multiplication .

25 X 1260=700Y

Since it's in a multiplying form you can simplify by dividing 700 by 25

1260=700Y/25

1260=28Y

Y=45

The vertices of GHJ are shown below. If this triangle is translated 2 units right and 1 unit down, what is the coordinate for vertex G'?



G (10, 10)

H (12, 12)

I (14, 14)

A
(12, 10)

B
(10, 9)

C
(12, 9)

D
(12, 14)

Answers

The formula for this translation would be (x,y) to (x+2, y-1), so the coordinate for G’ would be (12, 9)

One equation in a system is 4x – 2y = 8. Which equation gives the system no solution?

Answers

Answer:

-8

Step-by-step explanation:

Correct me if i'm wrong

I’m timed plsss answer correctly I’ll mark u brainliest

Answers

Answer:

[tex]\sqrt{125}[/tex]

Step-by-step explanation:

Use Pythagorean theorem since you have a right triangle [tex]15^{2}[/tex] = [tex]10^{2} + x^{2}[/tex]

225 = 100 + [tex]x^{2}[/tex] so x = [tex]\sqrt{125}[/tex]

Answer:

x = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

x² + 10² = 15²

x² + 100 = 225 ( subtract 100 from both sides )

x² = 125 ( take the square root of both sides )

x = [tex]\sqrt{125}[/tex] = [tex]\sqrt{25(5)}[/tex] = 5[tex]\sqrt{5}[/tex] ← in simplest radical form

Which set of integers is ordered from least to greatest -13 , 4, 0, -8 -5 , -2, 3, 1 -12 , -18 , -4 , 7 -15, 6 , -9 , -21

Answers

Given:

The set of integers in the options.

-13 , 4, 0, -8

-5 , -2, 3, 1

-12 -18 , -4 , 7

-15, 6 , -9 , -21

To find:

The set of integers that is ordered from least to greatest.

Solution:

We know that the larger negative value is the smaller value and the larger positive value is the greater value.

Ordered from least to greatest means first we need to write the smallest value, write the value larger than and the greatest value occurs at the end.

In option A, we have -13 , 4, 0, -8. Here, 4>0. So, the option A is incorrect.

In option B, we have -5 , -2, 3, 1. Here, 3>1. So, the option B is incorrect.

In option C, we have -12 -18 , -4 , 7 Here, -12>-18. So, the option C is incorrect.

In option D, we have -15, 6 , -9 , -21. Here, 6>-9. So, the option D is incorrect.

Therefore, all the options are incorrect.

Powers of products and quotients (integer exponents)

Answers

Answer:

C

Step-by-step explanation:

A car traveled 3600 miles in 3 hours. Find the speed of the car.

Answers

Answer:

speed=distance/time

speed=3600/3

speed=1200m/s

Answer:

The car is going 1200 miles per hour.

Step-by-step explanation:

PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.

Answers

Answer:

C. 43.98

Step-by-step explanation:

On a map,1 inch represents 5 miles.joel measure 2 1/2 inches between two cities on the map. how many miles apart are the two cities?

Answers

Answer:

12.5 miles

Step-by-step explanation:

5/2 inch*5 miles/ i inch= 25/2 miles or 12.5 miles

if my anwer helps please mark as brainliest.

Which expression is equal to x^2- y^5?

Answers

(x2+y5)=(x2-y5),

x^2-y^5 would equal 0

8*1,000,000+8*1/1,000,000

Answers

Answer:

1000000000001 /125000

1000000000001 over 125000

Step-by-step explanation:

be more specific when you post questions..

Mike bought a bottle of gatorade for $1
and some granola bars for $2.50
each. How many granola bars did he
buy if he spent $11 total?

Answers

Answer:

4 granola bars

Step-by-step explanation:

x is the number of granola bars

1 + 2.5x = 11

2.5x = 10

x = 4

Janet is designing a garden in the shape of a trapezoid which is split into three parts: two triangular
flower beds and a rectangular section of grass. Setting up the flower beds costs $3.50 per square
foot. How much will Janet have to spend to set up the flower beds?
PLS HELP

Answers

Ans) 70

Tell me if you need steps

(Am 100% sure with this answer)

What is the slope of the line graphed below?

Answers

The slope is 2. Use the slope formula (Y2-Y1/X2-X1) to find it, or count the rise over run.
2!!!
Party that math class up

Wiki
Help I’ll give Brainly est

Answers

Y=2x that’s is the equation

please help is on algebraric xpressiond

Answers

Step-by-step explanation:

10). 80-b

11). 25<n

12). The Expressions Is 5-d. a is unknown

If ab = 9 and a² + b² = 81, then (a+b)² = ?​

Answers

Answer:

99

Step-by-step explanation:

Through some clever algebra, we can combine our first two equations using the fact that

[tex](a+b)^2=a^2+2ab+b^2[/tex]

We have the a² and the b² in the equation [tex]a^2+b^2=81[/tex], and we almost have a 2ab in the equation [tex]ab=9[/tex]. To get that 2ab, we can simply double both sides of the first equation to get [tex]2ab=18[/tex]. From there, we'll add the first two equations together, giving us the summed equation

[tex]a^2+b^2+2ab=81+18\\a^2+2ab+b^2=99[/tex]

And since [tex](a+b)^2=a^2+2ab+b^2[/tex], we can equivalently say that

[tex](a+b)^2=99[/tex]

Solve the system of equations by substitution.
3x+2y=10 y=3x-4
x= y=​

Answers

Answer:

x=2;  y=2

Step-by-step explanation:

3x+2y=10

y=3x-4

We can substitute y from the first equation with the second equation:

3x+2(3x-4)=10

3x+6x-8=10

9x=18

x=2

Now plug this in to any of the equations (i used second equation):

y=3(2)-4

y=6-4

y=2

Check your answers:

y=3x-4

2=3(2)-4

2=6-4

2=2

HELP ASAP!!! Please give a step-by-step explanation, or you will be reported!
The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed. The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is _____ %. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is _____ %. (Round to the nearest hundredth.)

Answers

For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%

Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92

Step-by-step explanation:

there ya go!!

Answer:

The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71% .

The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37% .

Step-by-step explanation:

2.76% + 2.86% + 3.44% + 2.65% = 11.71%

11.71 / 3.44 = .2937

.2937 = 29.37%

The Stone's are driving to a family reunion that is 320.6 miles away. They
stop at a gas station and the map says they have 189.75 miles of the trip
remaining. How many miles have the Stone's driven so far?
DUE TODAY!

Answers

Answer:

Step-by-step explanation:

Formula

Driven = Total - what they need to go

Driven = 320.6 - 189.75

Driven = 130.85

Please help!!!
Factor the following
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Show work to receive full credit

Answers

Answer:

(3x - y)(x + y)²

Step-by-step explanation:

3x³ - x²y + 6x²y - 2xy² + 3xy² - y³ =x²(3x - y) + 2xy(3x - y) + y²(3x - y) =(3x - y)(x² + 2xy + y²) = (3x - y)(x + y)²

Answer:

[tex](3x-y)(x+y)^2[/tex]

Step-by-step explanation:

[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]

Multiply and combine like terms.

[tex]3x^3+xy^2-y^3+5xy^3[/tex]

Consider [tex]3x^3+xy^2-y^3+5xy^3[/tex] as a polynomial over variable x.

[tex]3x^3+5xy^2+y^2x-y^3[/tex]

Find one factor of the form kx^m +n, where kx^m  divides the monomial with the highest power 3x^3  and n divides the constant factor −y^3 . One such factor is 3x−y. Factor the polynomial by dividing it by this factor.

[tex](3x-y)(x^2+2xy+y^2)[/tex]

Consider [tex]x^2+2xy+y^2[/tex]. Use the perfect square formula, [tex]a^2+2ab+b^2[/tex] = [tex](a+b)^2[/tex], where a=x and b=y.

[tex](x+y)^2[/tex]

Rewrite the complete factored expression.

[tex](3x-y)(x+y)^2[/tex]

ANSWER PLSSS 65 POINTS

Answers

Answer:

[tex]\Huge\boxed{76}[/tex]

Step-by-step explanation:

Hello There!

The first thing we want to do is find the proportional relationship between to two triangles

The smaller triangles longest side is 18

Given the longest side of the similar triangle we can divide the longest side of the preimage by the longest side of the similar triangle

So the proportional relationship would be

36/18 or 2

Our next step is to find the the sides of the similar triangle

To do so we multiply the sides of the preimage by 2 (because 2 is the proportional relationship between the two triangles)

12x2=24

8x2=16

and we already know that the longest side measures 36

Now we can find the perimeter by adding all of the side lengths

36+24+16 = 76

So we can conclude that the perimeter of the dilated image is 76

The perimeter of the dilated triangle is 81.

Number 8 plssssssssss

Answers

Answer:

It created a single African nation with many states.

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