A town has a population of 2000 and grows at 4% every year.
What would the exponential function be if you were trying to predict what the
town's population would be after 12 years?
A 2000(04)12
B 2000(0.4)12
C 2000(1.04)12 D 0.04(2000)12

Answers

Answer 1

Answer:

[tex] \frac{4}{?100} \times \frac{2000}{1?} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ \\ 2080 \times 12 = 24960[/tex]


Related Questions

Complete the table so there is a proportional relationship between cups of blue paint and cups of red paint.

Answers

Answer:

Blue paint: 1, 2, 2.8, 10

Red paint: 2.5, 5, 7, 25

Step-by-step explanation:

constant of proportionality: 2.5

2.5x = y

what is the speed of the person from point c to point d?

Answers

Answer:

A

Step-by-step explanation:

Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?

Answers

Answer:

232

Step-by-step explanation:

Need help on this question asap I would really appreciate it please

Answers

Answer:

Volume of cube = 512 inch³

Volume of sphere = 268 inch³ (Approx.)

Volume of empty space = 244 inch³

Step-by-step explanation:

Given:

Side length of cube = 8 inches

radius of sphere = 4 inches

Find:

Volume of cube

Volume of sphere

Volume of empty space

Computation:

Volume of cube = Side³

Volume of cube = 8³

Volume of cube = 512 inch³

Volume of sphere = (4/3)πr³

Volume of sphere = (4/3)(3.14)(4)³

Volume of sphere = 268 inch³ (Approx.)

Volume of empty space = Volume of cube - Volume of sphere

Volume of empty space = 512 - 268

Volume of empty space = 244 inch³

What is the value of this expression n = 5? 45/n +10

Answers

Answer:

19

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

45/5=9

9+10=19

6. Write an equation that represents the
relationship “4 more than a number is 5"?

Answers

Answer:

4+x=5

Step-by-step explanation:

4+x=5

The cost to rent an instrument is $65 for the first month. It costs $30 for each additional month, x, that the instrument is rented. Witch expression represents the total cost of renting the instrument?

Answers

Answer:

y=65+ 30x

Step-by-step explanation:

Given data

Cost of rental= $65

Additional month= $30

The expression for the total cost for x  months is

y=65+ 30x

I JUST NEED SOME HELP PLEASE!! ~0~

Find the RATIO and the EXACT VALUE of the given Tan B.​

Answers

Answer:

Ratio: Tan B = 12/5

Exact value in degrees: [tex]67.38^{o}[/tex]

Step-by-step explanation:

SOH CAH TOA

Means Tan B  means opposite/adjacent.

Tan B = 12/5

B = [tex]Tan^{-1} (\frac{12}{5})\\[/tex]

B = [tex]67.38^{o}[/tex]

can someone help me with this thank you

Answers

Answer:

324?

Step-by-step explanation:

I NEED HELP PLEASE PLEASE IN ALGEBRA!

Answers

Answer:

what is question?

Step-by-step explanation:

Milk A small dairy sells milk to local grocery stores. 1.a gallon of milk weighs between 8 and 9 pounds Part A about how much ounces does a gallon of milk way? Explain your answer

Answers

Answer:

between 128 and 144 ounces

Step-by-step explanation:

Recall that 1 pound equals 16 ounces.

8 pounds is 128 oz; 9 pounds is `144 oz.

Therefore, a gallon of milk weighs between 128 and 144 ounces.

we gots more babeyyy
I just need assistance, or put me in the right direction, something-
I've got till the end of the day, and this will determine my final grade
please help if you can​

Answers

5x + 16 = ( 2x + 14 ) + 32

...............................................

This the clue and the right direction

You got this

PLS HELP ASAP DUE TMR TY

Answers

Answer:

a=8/2

a=4

Step-by-step explanation:

Answer:

[tex]a = 4[/tex]

Step-by-step explanation:

[tex](2a) = 8[/tex]

[tex]a = \frac{8}{2} [/tex]

[tex]a = 4[/tex]

Hope it is helpful.....

pleaseeeee help meeeee i will mark you brainlesttttttttttttttttttttttt

Answers

Answer:

First you would see the picture and you would count how many people had less than 20 which is 18

brainliest

Step-by-step explanation:

On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls two standard deviations above the mean. Determine the mean of this test.

Answers

The mean of the test that has a normal distribution is 55.

What is the mean of the test?

Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:

49 = μ - 3σ  equation (1)

59 = μ + 2σ  equation (2)

To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:

49 + 59 = μ - 3σ + μ + 2σ

Simplifying, we get:

108 = 2μ - σ

We can also solve for σ by subtracting equation (1) from equation (2) to get:

59 - 49 = μ + 2σ - (μ - 3σ)

Simplifying, we get:

10 = 5σ

Therefore, σ = 2.

Substituting this value of σ into the equation we found earlier, we get:

108 = 2μ - σ

108 = 2μ - 2

Solving for μ, we get:

2μ = 108 + 2

2μ = 110

μ = 110/2

μ = 55

Therefore, the mean of the test is 55.

Learn more about normal distribution here: https://brainly.com/question/29509087

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I don’t understand how to do this . Any help would be appreciated thank you .

Answers

(B)

Step-by-step explanation:

Look at the triangle with the 65° angle. Note that the 65° angle is opposite the 24-ft side and p is the length of the triangle's hypotenuse so let's use the definition of sine 65°:

sin 65 = opposite/hypotenuse

= (24 ft)/p

Solving for p,

p = (24 ft)/(sin 65°)

= 26.48 ft

Scores on the SAT Mathematics test (SAT-M) are believed to be Normally distributed with mean µ. The scores of a random sample of three students who recently took the exam are 550, 620, and 480. A 95% confidence interval for µ based on these data is

Answers

Answer:

The 95% confidence interval for µ based on these data is (408,692).

Step-by-step explanation:

Sample mean and standard deviation:

The first step to solve this question is finding the sample mean and standard deviaton.

[tex]\overline{x} = \frac{550+620+480}{3} = 550[/tex]

[tex]s = \sqrt{\frac{(550-550)^2+(620-550)^2+(480-550)^2}{3}} = 57.1548[/tex]

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 3 - 1 = 2

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 4.3027

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 4.3027\frac{57.1548}{\sqrt{3}} = 142[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 550 - 142 = 408

The upper end of the interval is the sample mean added to M. So it is 550 + 142 = 692

The 95% confidence interval for µ based on these data is (408,692).

The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.

4-column table with 3 rows. First column has no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. The second column is labeled less than 40 dollars a week with entries 33, 27, 60. The third column is labeled greater than or equal to 40 dollars a week with entries 77, 3, 80. The fourth column is labeled total with entries 110, 30, 140.

Marcel converts the frequency table to a conditional relative frequency table by row.

4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0

Which value should he use for Y? Round to the nearest hundredth.

0.19
0.45
0.82
0.90

Answers

Answer:

D.) 0.90

Step-by-step explanation:

Doing the unit test review on EDG right now! :D

Wish you all luck~

Have a good day! :3

(Evidence: screenshot below!)

The value for Y to the nearest hundredth is 0.90; option D.

What is the value for Y?

The value for Y is obtained from the data in the frequency table.

By solving for Y from the frequency table:

Y + Z = 0

Y + Z = 1.0

Either Y is 0 or Y is 1.

Therefore, Y is approximately 0.90 to the nearest hundredth.

Learn more about frequency table at: https://brainly.com/question/16148316

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the coefficient in the term 7xy is​

Answers

Answer:

The coefficient is 7

Step-by-step explanation:

The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.

If ABC and EDC are similar, what is the value
of x?
A

Answers

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

BC/DC = EC/AC , substitute values

3x×5/32 - 5x-5/56 ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

Si 4x+2x=2, el valor de x es?

Answers

Answer:

answer is 1

Step-by-step explanation:

Answer:

[tex]x = \frac{1}{3} [/tex]

Step-by-step explanation:

Recopilar términos semejantes:

[tex]6x = 2[/tex]

Divide ambos lados de la ecuación por 6:

[tex] \frac{6x}{6} = \frac{2}{6} [/tex]

Por lo tanto, la respuesta será x = 1/3

The mean of three numbers is 10. The mode is 8. What are the three numbers?

Answers

Answer:

8, 8, 14

Step-by-step explanation:

Since 8 is the mode, it will appear the most. As there are 3 numbers, 8 will be two of them, so there are 2 8s.

To find the total of the numbers, do the mean multiplied by the amount of numbers, which is 10 times 3, which equals 30.

To find the last number, minus the two numbers you already have from the total, so 30-8-8=14

So the three numbers are 8,8,14.

Hope this helps! :)

ASAP need help!!
vvvv

Answers

Answer:

Step-by-step explanation:

5  5 5 m²

the system of equations kx-5y = 2, 6x+2y = 7 has no solution, then k =

(a) -10 (b) -5 (c) -6 (d) -15​

Answers

Answer:

(d) -15

Step-by-step explanation:

Given system of equations are:

[tex] \begin{cases}kx-5y=2\\\\6x+2y=7\end{cases}[/tex]

Since, given system of equations have no solution.

[tex] \therefore \frac{k}{6}=\frac{-5}{2} \neq\frac{2}{7}[/tex]

[tex] \implies \frac{k}{6}=\frac{-5}{2} [/tex]

[tex] \implies k=\frac{6(-5)}{2} [/tex]

[tex] \implies k=\frac{-30}{2} [/tex]

[tex] \implies k=-15[/tex]

When solving a system of inequalities or just an inequality (like 2-4y > 14), in what condition the sign flip to the other way?

Answers

Answer:

When the coefficient of the variable is negative, as shown below,

Step-by-step explanation:

2-4y>14

-4y>14-2

-4y>12, divde through by - 4

y>-3

Simplify each expression

Answers

hope this helps you

Answer:

a) 2x + 6y + 7x

9x + 6y

b) 3a + 8b + 5a

8a + 8b

c) 6u + 3v - 2u

4u + 3v

d) 9p + 8q - p

8p + 8q

e) 2m + 5n + 4m + 3n

6m + 5n + 3n

6m + 8n

f) 6u + 9v + u + 3v

12v + 6u + u

12v + 7u

g) 8b + 7c + 3b - 2c

8b + 3b + 5c

11b + 5c

h) a + 2b + a - b

2a + 2b - b

2a + b

i) 5a + 2b - 5a + 6b

8b + 5a - 5a

8a

h) 9p + 3q - 2p - 3q

7p + 3q - 3q

7p

It snowed 7.29 inches on Monday and 0.78 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?

Answers

Answer:

8.07 inches

Step-by-step explanation:

7.29+0.78=8.07

Select all the expressions which are equivalent to –43
4
3
p – 25
2
5
.
–43
4
3
p + 25
2
5
–25
2
5
– 43
4
3
p
43
4
3
p – 25
2
5
–43
4
3
p + (–25
2
5
)
25
2
5
+ 43
4
3
p

Answers

Answer:

–43p + (–25)  is  Equivalent to  –43p – 25.

Step-by-step explanation:

Needed: 25 – 43p ,  25 – 4 , p 3. –25p –43 ,  –43p + (–25)

What is the measure of angle R?
110°
140°
125°
70°

Answers

70
Hope this helps :D

Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Work out the value of x

Answers

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}[/tex]

The mean of set of a is:

[tex]Mean=\dfrac{200+104+100+160}{4}[/tex]

[tex]Mean=\dfrac{564}{4}[/tex]

[tex]Mean=141[/tex]

The mean of set of b is:

[tex]Mean=\dfrac{270+400+483+300+x}{5}[/tex]

[tex]Mean=\dfrac{1453+x}{5}[/tex]

[tex]Mean=\dfrac{1453+x}{5}[/tex]

It is given that,

Mean of set a: mean of set b= 3:8

[tex]\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}[/tex]

[tex]\dfrac{705}{1453+x}=\dfrac{3}{8}[/tex]

[tex]8\times 705=3\times (1453+x)[/tex]

[tex]5640=4359 +3x[/tex]

Isolate the variable x.

[tex]5640-4359 =3x[/tex]

[tex]1281 =3x[/tex]

Divide both sides by 3.

[tex]\dfrac{1281}{3} =x[/tex]

[tex]427 =x[/tex]

Therefore, the value of x is 427.

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