In 2002, the population of a district was 22,800. With a continuous annual growth rate of approximately 5% what will the population be in 2012 according to the exponential growth function?

Answers

Answer 1

Answer:

37,139

Step-by-step explanation:

Given the following :

Population in 2002 = Initial population (P0) = 22,800

Growth rate (r) = 5% = 0.05

Growth in 2012 using the exponential growth function?

Time or period (t) = 2012 - 2002 = 10years

Exponential growth function:

P(t) = P0 * (1 + r) ^t

Where P(t) = population in t years

P(10) = 22800 * (1 + 0.05)^10

P(10) = 22800 * (1.05)^10

P(10) = 22800 * 1.62889

P(10) = 37138.797

P(10) = 37,139 ( to the nearest whole number)


Related Questions

Which is the equation of a parabola with Vertex (0,0) and focus (0, 2)?
a. ya = 8x
c. x2 = 8
b. y2 = 4x
d. x2 = 4y

Answers

Answer:

So the equation of the parabola is x2=8y i don't really know

19. Julio is paid 1.4 times his normal hourly rate for each hour he works over
30 hours in a week. Last week he worked 35 hours and earned $436.60. Write
and solve an equation to find Julio's normal hourly rate, r. Explain how you
know that your answer is reasonable.

Answers

Julio's normal hourly rate (r) is equal to $11.8 per hour.

Let the normal hourly rate be r.

Translating the word problem into an algebraic expression, we have;

Since Julio worked for 35 hours, it simply means that he was paid r amount of dollars per hour for a period of 30 hours;

[tex]30r[/tex] ......equation 1

Also, for the remaining number of hours (35 - 30), he was paid he was paid 1.4r amount of dollars per hour;

[tex](35 - 30)[/tex] × [tex]1.4r[/tex] [tex]= 5[/tex] × [tex]1.4r[/tex]

[tex]5[/tex] × [tex]1.4r = 7r[/tex]  .....equation 2

Next, we would equate the expressions to the total amount of money earned by adding eqn 1 and eqn 2.

[tex]30r + 7r = 436.60\\\\37r = 436.60\\\\r = \frac{436.60}{37}[/tex]

Julio's normal hourly rate, r = $11.8 per hour.

Therefore, Julio's normal hourly rate (r) is equal to $11.8 per hour.

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What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2

Answers

Answer:

??

Step-by-step explanation:

how

did you get 616? are you even looking at the 4 answers?????

Erica saw a skateboard on sale for $59.95 the original price of the skateboard was $79.95 what is the approximate percent discount on the skateboard ?

Answers

Answer: 25%

Step-by-step explanation:

Need help ASAP!!!! THX

Answers

Answer:

C

Step-by-step explanation:

f(x) = x - 2

f(2) = (2) - 2

f(2) = 0

A + B are wrong cuz..

f(-2) = -2 - 2

f(-2) = -4

A
75°
B.
Reflex Angle B =
degrees.

Answers

Answer:

285

Step-by-step explanation:

B+A=360, B=360-75=285

An angle whose measure is greater than 180° but less than 360° is termed a reflex angle.

[tex]\large{\textrm{{{\color{navy}{∠A \: + \: ∠B \: = \: 360°}}}}}[/tex]

[tex] \bf \large \longrightarrow \: \:75 \degree \: + \: ∠ B \: = \: 360°[/tex]

[tex] \bf \large \longrightarrow \: \: \angle B \: = \: 360° \: - \: 75 \degree[/tex]

[tex] \bf \large \longrightarrow \: \: \angle B \: = \:285 \degree[/tex]

Find the slope and y-intercept of the line. y = x – 8

Answers

Answer:

y- intercept= -8

slope= 1

Step-by-step explanation:

Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.

Answer:

Y-intercept = -8

Slope = 1

Step-by-step explanation:

The Y-intercept is the constant or the integer in the equation.

So, the y-intercept is "-8".

The slope is the number with which "x" is multiplied with.

So, the slope is 1, because 'x' and '1x'  are similar; therefore the slope is 1.

A batch of hot chocolate is made with 24 teasoons of cocoa and 12 cups of milk. How many teaspoons of cocoa are needed for every cup of milk?

Answers

Answer:

2 teaspoons

Step-by-step explanation:

24 tsp/12 cups = x tsp /1 cup

Cross multiplying, we have:

12x = 24

x = 2

The solution is 2 teaspoons of cocoa

Number of teaspoons of cocoa is given by the equation A = 2 teaspoons

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of teaspoons of cocoa be represented as A

Now , the equation will be

A batch of hot chocolate is made with 24 teaspoons of cocoa and 12 cups of milk

So , for 12 cups of milk = 24 teaspoons of cocoa is required

And , for 1 cup of milk A = 24 teaspoons of cocoa is required / 12

Substituting the values in the equation , we get

Number of teaspoons of cocoa A = 24 teaspoons / 12

Number of teaspoons of cocoa A = 2 teaspoons

Therefore , the value of A is 2 teaspoons

Hence , the number of teaspoons is 2

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How do you solve number 5?

Answers

Answer:

B

Step-by-step explanation:

To get from 60 to 75, you multiply by a certain factor. That factor is 75/60 = 1.25. In percents this is 125%

60 * 125% = 75

So if 60 is 100%, then 75 is 25% more than 60.

2^12÷2^(k/2 )= 32 find k​

Answers

Answer:

k = 14

Step-by-step explanation:

Prime factorize 32

32 = 2 * 2 * 2 * 2 * 2  = 2⁵

[tex]\frac{2^{12}}{2^{\frac{k}{2}}}= 32\\\\\frac{2^{12}}{2^{\frac{k}{2}}}=2^{5}\\\\2^{12-\frac{k}{2}}=2^{5}[/tex]

Both sides base are same.So, compare exponents

[tex]12-\frac{k}{2}=5\\[/tex]

Subtract 12 from both side

[tex]-\frac{k}{2}=5-12\\\\-\frac{k}{2}=-7\\[/tex]

Multiply both sides by (-2),

[tex](-2)*(-\frac{k}{2})=-7*(-2)\\\\k = 14[/tex]

The following frequency table shows the number of fish caught by each of Igor's family members. What was the maximum number of fish that a family member caught? _____ fish

Answers

Answer:

4

Step-by-step explanation:

The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.

Therefore, the first row means that 0 family members caught 0 fish.

The second row means that 3 family members caught 1 fish.

The third row would mean 1 family member caught 2 fish.

The next row would mean 0 family members caught 3 fish.

And the final row would mean 4 family members caught 4 fish.

The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.

Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).

Answer:

it's 1 fish

Step-by-step explanation:

i took the test

HELP PLEASE !!


find the surface area of the cylinder and round it to the nearest tenth.​

Answers

Answer:

18.8

Step-by-step explanation:

Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8

3,125 subtracted by what can give me 514

Answers

Answer:

2611

Step-by-step explanation:

3125-2611= 514

for more answers check my bio

If I have 180$ and a pack of dvds cost 18 how much can I buy

Answers

Answer:

10 packs of dvds

Step-by-step explanation:

$180 / $18 = 10 packs

You can buy a maximum of 10 dvd packs

Answer:

you can buy 10 dvds that is thr answer

Find the slope of the line containing the points (-3, -6) and (4, 7).

Answers

Answer:

[tex]\frac{13}{7}[/tex]

Step-by-step explanation:

→ State the slope formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Substitute in the values

( 7 - -6 ) ÷ ( 4 - -3 )

→ Simplify

[tex]\frac{13}{7}[/tex]

Answer:

slope = [tex]\frac{13}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (4, 7)

m = [tex]\frac{7-(-6)}{4-(-3)}[/tex] = [tex]\frac{7+6}{4+3}[/tex] = [tex]\frac{13}{7}[/tex]

Sz – [32 – (10z + 2)]​

Answers

Sz-[32-(10z+2)]
=Sz-(32-10z-2)
=Sz-(30-10z)
=Sz-30+10z

Hope my answer helped u :)

what is the prime factorization of 430

Answers

Answer:

[tex]\huge \boxed{430=2 \times 5 \times 43}[/tex]

Step-by-step explanation:

Using factor tree,

Answer:

[tex]\large\boxed{2, 5, 43}[/tex]

Step-by-step explanation:

                                                          430

                                                      /             \

                                                  215              2

The 2 cannot be factorized anymore, so I will put a small box around it.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             43     5

5 and 43 cannot be factorized any smaller.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             [tex]\boxed{43}[/tex]     [tex]\boxed{5}[/tex]

The prime factorization is the numbers in the boxes, which are 2, 5, and 43.

[tex]\large\boxed{2, 5, 43}[/tex]

Hope this helps :)

--------------------------------------------------------------------------------------------

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What would be the 1st step in solving this problem:
(4-2+6) +9x7

Answers

Answer:

doing whatever is in the brackets or paranthesis

Determine the slope for the equation.

[tex]y = \frac{6}{5} x - 4[/tex]
Steps would help tremendously because I wanna remember how to do these :)​

Answers

Answer:

slope = [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{6}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{6}{5}[/tex]

Answer:

6/5

Step-by-step explanation:

this equation is already in the slope intercept form, meaning the slope (gradient)is the coefficient of x( the number before x). in this case it's 6/5.

I hope this helps

Evaluate the expression 52 + 2x when x = 5. Choose the phrase below that describes the resulting number.

Answers

Answer:

62

Step-by-step explanation:

hope that helps! if it is an answer

The Phrase is: "The resulting number is 62."

                                                                                                         

We have the expression as

52 + 2x

                                                                                                         

Now, To evaluate the expression 52 + 2x when x = 5,

we substitute the value of x into the expression and simplify:

                                                                                                         

=52 + 2(5)

= 52 + 10

= 62.

                                                                                                         

Thus, The resulting number is 62.

                                                                                                         

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Please help me!!! I need this ASAP!!!

Answers

Answer:

number ten: x=5

number two: x=5³/5

Step-by-step explanation:

number ten:

4x + 3x - 9 = 26

4x + 3x = 26+9

7x = 35

x = 5

number two:

3x + 2x - 8 = 20

3x + 2x = 20+8

5x = 28

x = 5³/5

answer for brainlist + extra points
Which operation will not change the value of any nonzero number?
A. Multiplying by One
B. Dividing by Zero
C. Multiplying by Zero
D. Adding One

Answers

Answer:

A. Multiplying by One

Step-by-step explanation:

semoga membantu

A. Multiplying by One

Honestly, I'm trying my best to solve this but my Math XL is being so rude. ​

Answers

Answer:  19

==============================================================

Explanation:

T is the midpoint of PQ, which means T splits PQ into two equal parts. Those parts being PT and TQ.

Set them equal to each other and solve for x.

PT = TQ

3x+7 = 7x-9

3x-7x = -9-7

-4x = -16

x = -16/(-4)

x = 4

So,

PT = 3x+7 = 3*4+7 = 19

TQ = 7x-9 = 7*4-9 = 19

Both PT and TQ are 19 units long to help confirm the answer.

19 is the correct answer

1. The product of two consecutive numbers is 42. What are the numbers?

Answers

Answer:

6, 7

Step-by-step explanation:

6 x 7 = 42

6 and 7 are consecutive
6*7=42

Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go?

Answers

Answer:

she went 90 miles in 3 hours

Step-by-step explanation:

in 20 minutes, she went 10 miles.

so in 1 hour, we multiply both 10 and 20 by 3

in 1 hour, Amelia drives 30 miles

we multiply this by 3,

and we get 90 miles in 3 hours :)

The expression (x-6)^2 is equivalent to

Answers

Answer:

2−12x+36

Step-by-step explanation:

Answer:

(x-6)² = (x-6)(x-6) = x² - 12x + 36

Step-by-step explanation:

Adding
ing and Multiplying Rati
What type of answer would you expect from the problem below? Expla
answer
DONES

Answers

there’s no problem to solve here
Adding
ing and Multiplying Rati
What type of answer would you expect from the problem below? Expla
answer
DONES

From deltamath.com please help I’m loss

Answers

Answer:

y(x)=2866.59*(1.06)^x

Step-by-step explanation:

Let the exponential equation be y=a*b^x. Using y(7) and y(4) we can find the value of b, y(7)/y(4)=b^3=4300/3619, b=1.06. Next, y(4)=a*(1.06)^4=3619, a=2866.59. The equation is y(x)=2866.59*(1.06)^x

the two triangles below are similar use what you know about similar triangles to find the missing side. show your work​

Answers

If both triangles are similar the ratio of sides will be same

[tex]\\ \sf\longmapsto \frac{x}{24} = \frac{6}{12} \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x = \frac{144}{12} \\ \\ \sf\longmapsto x = 12[/tex]

Sofia tem 52 triângulos retângulos isósceles iguais. Ela quer fazer quadrados usando alguns desses triângulos. Ela pode fazer quadrados de quantos tamanhos diferentes?

Answers

Answer:

Portanto, o Sofia pode fazer 6 tamanhos diferentes

Step-by-step explanation:

A fim de sermos capazes de determinar efetivamente quantos quadrados de diferentes tamanhos podem ser formados a partir do triângulo isósceles 52, resolvemos isso usando a fórmula

2 (n + 1) Onde n = 0 e todos os inteiros positivos

em outro para obter um tamanho diferente para os quadrados, temos que adicionar mais triângulos para aumentar o tamanho

a) quando n = 0

2 (0 + 1) = 2 × 1 = 2 triângulos isósceles iguais

A união de 2 triângulos isósceles forma um quadrado. Este é o primeiro quadrado

= 1 quadrado

b) quando n = 1

2 (1 + 1) = 2 × 2 = 4 triângulos isósceles iguais = 1 quadrado

c) quando n = 2

2 (2 + 1) = 2 × 3 = 6 triângulos isósceles iguais = 1 quadrado

d) quando n = 3

2 (3 + 1) = 2 × 4 = 8 triângulos isósceles iguais = 1 quadrado

e) quando n = 4

2 (4 + 1) = 2 × 5 = 10 triângulos isósceles iguais = 1 quadrado

f) quando n = 5

2 (5 + 1) = 2 × 6 = 12 triângulos isósceles iguais = 1 quadrado

Adicionamos o número total de triângulos usados

2 + 4 + 6 + 8 + 10 + 12 = 42 triângulos

42 triângulos de 52 triângulos formariam 6 quadrados com tamanhos diferentes

Vamos fazer mais um, onde n = 6

g) quando n = 6

2 (6 + 1) = 2 × 7 = 14 triângulos isósceles iguais = 1 quadrado

2 + 4 + 6 + 8 + 10 + 12 + 14 = 56 triângulos

Isso já excedeu o número dado de triângulos em questão.

Portanto, o Sofia pode fazer 6 tamanhos diferentes de quadrados usando 42 triângulos isósceles iguais

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