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:

S(n) = 12,000(–0.05)n

Step-by-step explanation:

Answer 2

The function that represents the number of students, S, in the school district after n years is [tex]S=12000(0.95)^n[/tex]

Original population , P  =  12000

Rate of decline, r = 5%

r  =  5/100

r  = 0.05

The number of years = n

The population of students after n years will be given by the formula:

[tex]S =P(1-r)^n[/tex]

Substitute r = 0.05 and P = 12000 into the formula above

[tex]S=12000(1-0.05)^n\\\\S=12000(0.95)^n[/tex]

The function that represents the number of students, S, in the school district after n years is [tex]S=12000(0.95)^n[/tex]

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Related Questions

Use distributive property to rewrite expression -8((-2-3/4)-8)

Answers

Answer:

-86

Step-by-step explanation:

-8((-11/4)-8)

((11/4-8)

8x(-43/4)

-2×43=-86

An expression is shown 7/4 - ?/7 = 1 1/28 What is the missing number?

Answers

Answer:

i pretty sure the missing number is 4

Step-by-step explanation:

A baby weighs 18 pounds at her four-month appointment. Six months later she weighs 24 pounds. By what percentage did the baby's weight increase?​

Answers

Answer:

33.33%

Step-by-step explanation:

We know that:

At her four month weighs: 18 pounds.

Six month later weighs: 24 pounds.

So, the baby increased 6 pounds. But, what percentage represents?

To solve this problem we use the rule of three:

If 18 pounds represents 100%, 24 pounds what percentage would be?

So, if we subtract 100%-133.33%, we have a 33.33% more. This means that the baby increased a 33.33% during those six months.

A recipe that makes 8 cups of limeade uses 2 cups of lime juice.

Describe the related ratio 2:8 using ratio language. Does the ratio involve only parts, or does it involve a part and the whole?

Answers

Answer:

For every 2 cups of lime juice, the recipe makes 8 cups of limeade; a part and the whole.

Step-by-step explanation:

The ratio shows that for 2 cups of lime juice there needed proportion of 8 cups of limeade.

and, the ratio involve a part and the whole.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

A recipe that makes 8 cups of limeade uses 2 cups of lime juice.

and, ratio = 2:8

Here, the ratio shows that for 2 cups of lime juice there needed proportion of 8 cups of limeade.

and, the ratio involve a part and the whole.

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https://brainly.com/question/13419413

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10. How long did it take for Krista's family to drive the 110 mi, to the cabin in the mountains if they were
able to average only 40 mph?

Answers

Answer:

2.75 hours

im pretty sure

Step-by-step explanation:

Please please help!!!

Answers

Answer:

Dark blue on the left.

Step-by-step explanation:

The simplest way is to plug in the values. However, you can immediately get rid of yellow and red because the y intercept is -2.

We have two equations left so the best is plug in the points (0,-2).

For the first equation, 4x^2-2, plug in x which is 0.

4(0)^2-2. Simplify to get 0-2. y=-2.

Dark blue is the answer.

Please mark me brainliest it will help me a lot

Please help me ASAP

Answers

if you need to factor the equation the answer is : (x-6) (x-5)

help help help please im begging!! its trigonometry and its due tonight I'm so confused please help me out

Answers

Step-by-step explanation:

Its the bottom question sir

which of the following shows a table of equivalent ratios?

Answers

A.
Every foot gets multiplied by 12 to get the inches making it equivalent.

WILL GIVE BRAINLIEST!! Why does 0.9999999... equal 1

Answers

Answer:

9, among other ways denotes the repeating decimal consisting of infinitely many 9s after the decimal point (and one 0 before it). This repeating decimal represents the smallest number no less than every decimal number in the sequence (0.9, 0.99, 0.999, ...). This number is equal to 1.

Step-by-step explanation:

Because if you round up it becomes 1

9(8s - 5f) use f = 3 and s = 4

Answers

Answer:

153

Step-by-step explanation:

8x4=32

5x3=15

32-15=17

9x17=153

Answer:

fhmjjjjj hjk, k

Step-by-step explanation:

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!

PLSSSS SHOWWW THE WORKKK!!!!

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Answer: y^2/x

Step-by-step explanation:

3/5 × 2/3?...
alguien me ayuda que no se ._.​

Answers

Answer:

2/5

Step-by-step explanation:

3/5*2/3=6/15=2/5

a number m decreased by 9 is 6

Answers

Answer:

m-9=6

m=6+9=15

I think.......

What two integers does 226 lie between?

Answers

0 and 452
The average of 452 and 0 is 226

Find x and y
(45-45-90 formula)

Answers

Answer:

x-intercept(s):

None

y-intercept(s):

90

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the intercept, substitute in 0 for x and solve for y.

104.65/ 35
pls help and can u show me a example

Answers

Answer:

2.99 or 3

Step-by-step explanation:

Find the circumference of each circle. Use 3.14 for pi.
6
=

Answers

Answer:

First Question: 18.84

Second Question: 12.56

Step-by-step explanation:

Here is the answer for your circumference question

Write 18 as a product of its prime factors

Answers

Answer:

1, 18, 2, 9, 3, 6

I think

Answer:

Down Below!

Step-by-step explanation:

18 = 1 x 18, 2 x 9, or 3 x 6

Prime Factors: 18 = 2 x 3 x 3

Factors of 18: 1, 2, 3, 6, 9, 18

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Answers

For this the answer for 6. Is 5/1 and 7. Is 9/1

Answer:

Step-by-step explanation:

5/7

Find the discriminant and the number of real roots for this equation.
4x + 12x + 9 = 0
A. O; two real roots
B. 0; one real root
C. -144; one real root
D. -144; no real roots
SUBMIT

Answers

Answer: 0; one real number

Step-by-step explanation:

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Answers

Answer:

The second option

What is the solution to the following equation? -6(x-2) + 3x = -3(x + 3) + 21
(This is not multiple choice and I need the answer in number form, with explanation please) :)

Answers

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

Simplifying the given equation, you have ...

  -6(x -2) +3x = -3(x +3) +21 . . . . . given

  -6x +12 +3x = -3x -9 +21 . . . . . . eliminate parentheses

  -3x +12 = -3x +13 . . . . . . . . . . . . collect terms

  0 = 1 . . . . . . . . . . . . . add (3x-12) to both sides

There is no value of x that will make this true.

The equation has NO SOLUTION.

-6(x+2) + 3x = -3(x+3) + 21

-6x - 12 + 3x = -3x - 9 + 21

-3x - 12 = -3x + 12

-3x + 3x = 12 + 12

0 = 24

Sorry but this equation has no solution.
-3x + 3x = 0, x is cancelled out so we can’t find ‘x’.

please help

please help








Answers

Answer: 72/48 unless you have to simplify which would be 3/2 or do you want decimal?

Step-by-step explanation:

A fireman learned a 36 foot ladder against a building.If he placed the ladder 7 feet from the base of the building,what angle is formed between the ladder and the ground?​

Answers

Answer:
The angle between the ladder and ground is 78.78°

Explanation:
It is given that the length of the ladder is 36 foot and the distance between the base and the ladder is 7 feet.

Here we can see that the hypotenuse is 36 foot and the base is 7 feet. To find the angle between the ladder and the ground we take the cos inverse of 7/36.

Let the angle between the ladder and the ground is ‘x’.

Please check the attached image, also report the answer above me for spamming and trying to receive free points as this has been an issue lately.

Which of the following ratios are not equivalent to 7 : 3?

Multiple choice question.

A)
14 : 3


B)
14 : 6


C)
21 : 9


D)
28 : 12

Answers

A is not equivalent to 7:3
A is not equivalent.

What is the answer to ...8.42 x 9

Answers

Answer:

75.78

Step-by-step explanation:

8.42*9=75.78

Answer:

75.78

Step-by-step explanation:

8.42 × 9 =  75.78

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Answers

Answer:

c

Step-by-step explanation:

this answer is C, hope its right for you

A triangle has the points (2,3) (2,-5) (6,1) what is the area

Answers

Answer:

18 units squared

Step-by-step explanation:

Base is 8 and height is 4.

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Answers

Answer:

15

Step-by-step explanation:

q-p = 23 - 8

= 15

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