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The exponential growth function will be:  y = 4000(1 + 0.04)⁴

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

We are given;,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

Thus, the exponential growth function will be:

y = 4000(1 + 0.04)⁴

Complete question is;

A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.

Part A

Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.

Read more about Exponential Growth Functions at; https://brainly.com/question/27161222

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Answer:

number of emergency response professionals = 3% of population

e = 0.03p

e is a function of p

e(p) = 0.03p

Step-by-step explanation:

edumentum

Answer:

y = -9x - 1

Step-by-step explanation:

Step 1:

y = 8, x = -1

By putting the above values in equation (i)

8 = -9 (-1) + b

8 = 9 + b

-1 = b

b = -1

y = -9x - 1

Answer:

(-5)*2 - 12

Step-by-step explanation:

First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .

If two integers have same sign, add and the result will have the sign of the both integers.

(-5)*2 - 12 = -10 - 12

                = -22

Answer:

d= 8.6 ft

Step-by-step explanation:

In similar triangles, the corresponding sides are in proportion.

[tex]\boxed{\dfrac{AW}{MZ}=\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}}[/tex]

To find the value of x,

[tex]\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}\\\\\\\dfrac{6}{7}=\dfrac{d}{10}\\\\\\\dfrac{6}{7}*10=d[/tex]

d = 8.6 ft

Step-by-step explanation:

a = 7

d = 14-7 = 7

s(50) = n/2*[a+(n-1)*d]

         = 50/2*[7+(50-1)*7]

         = 8750

The critical value for z for a hypothesis test using a 5% significance level is 1.65

It is given that the reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes.

It is required to find the critical value for z for a hypothesis test using a 5% significance level.

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

We have a hypothesis H1 that wait time is actually greater than 60 minutes.

H1(T>60)

This is the case of the right-tailed hypothesis.

We have a significance level = 5% ⇒ 0.05

The statistics follow a normal distribution curve

Critical value = 1.6449 ≈ 1.65  (from the table at 5% significance level)

Thus, the critical value for z for a hypothesis test using a 5% significance level is 1.65

Know more about the normal distribution here:

brainly.com/question/12421652

Answer:

was there a table diagram or anything or you only got the question like that?

Answer:

No, the medians continue to intersect at a single point.

Step-by-step explanation:

Plato

Answer:

136 tickets

You have to do 8x17

Answer:

5% of his coins is 7

Step-by-step explanation:

140 X 0.05 = 7

if you come across an exponential equation you can recognize it if you see a small number above the base number it would look something like this.

Answer:

1.  The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Step-by-step explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

      1500    /                                    p

c = 1500 / p

Answer:

1.  The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Step-by-step explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

     1500    /                                    p

c = 1500 / p

Answer:

C

Step-by-step explanation:

because the nearest is to ones tenth hundred thousand

Step-by-step explanation:

count the number of boxes

1)

[tex]x = 25 - \frac{2}{3} y[/tex]

[tex]y = 37.5 - 1 \frac{1}{2} x[/tex]

2)

[tex]x = 1 + 2y[/tex]

[tex] y = \frac{1}{2} - \frac{1}{2} x[/tex]

Answer:

4x+8 =5

Step-by-step explanation:

sum = +

times = Multiply

is = =

4*x +8 = 5

Answer:

4x+8=5

Step-by-step explanation:

Let's assume the number is x

Four times x plus 8 is 5

4x+8=5

***Optional

If you need to solve it...

4x+8=5

4x=-3

x= - [tex]\frac{3}{4}[/tex]

Hope this helps! :D

Answer:

C:) Sarah

Step-by-step explanation:

Sarah paid $3.84 for 32 ounces of carrots.

32 ounces = $3.84

1 ounce = x

Cross Multiply

x = $3.84/32

x = $0.12

For Sue

Sue paid $5.20 for 40 ounces of carrots.

40 ounces = $5.20

1 ounce = x

Cross Multiply

x = $5.20/40

x = $0.13

Who paid less per ounce?

Sarah paid less per ounce

Answer:

where

Step-by-step explanation:

Answer:

The answer is 100 in

Step-by-step explanation:

The pythagorean theorm states that, for any right triangle where a and b are the legs and c is the hypotenuse, a^2 + b^2 = c^2. So, we can substitute and solve.

18^2 + 26^ 2 = c^2

324 + 676 = c^2

1000=c^2

Square root of 1000 = c

100.0=c

Hope this helps!

Answer:

400 in.

Step-by-step explanation:

V= l x w x h

V=10 x 5 x 8 =400 in.

Answer:

X= 2

X= -8

Hope this helps :)

Answer:

x=2 and x=-8

Step-by-step explanation:

First, move terms to the left side. Then subtract the numbers and use the quadratic formula. Simplify, separate the equations, and solve.

395.64 sq. mm

hope it helps...!!!

Answer:

26.6 degrees

Step-by-step explanation:

Formula

(°C × 1.8) + 32 = °F

(-3°C × 9/5) + 32 = 26.6°F

26.6

To convert temperature readings from celsius scale, formula used is -

[tex]\green{ \underline { \boxed{ \sf{F = \frac{9}{5}C +32 }}}}[/tex]

where

Putting Values -

[tex]\begin{gathered}\\\implies\quad \sf F = \frac{9}{5}\times(-3) + 32 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf -\frac{27}{5} + 32 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf -5.4 + 32 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 26.6\degree F \\\end{gathered} [/tex]

Therefore, 26.6⁰ Fahrenheit is equivalent to -3⁰C.

Answer:

1/6

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

the second one

Step-by-step explanation:

1/6

brainliest pls

Answer:

Step-by-step explanation:

"7 * 4

the * is times

Step-by-step explanation:

that's it in expanded form"

Expanding the expressions:

1)

⇒ (-6)⁵

⇒ (-6)(-6)(-6)(-6)(-6)

⇒ -7776

2)

⇒ (-2)³

⇒ (-2)(-2)(-2)

⇒ (4)(-2)

⇒ -8

3)

⇒ (-3)⁴

⇒ (-3)(-3)(-3)(-3)

⇒ (9)(9)

⇒ 81

4)

⇒ (-1)⁵

⇒ (-1)(-1)(-1)(-1)(-1)

⇒ -1

Answer:

1046.9

Step-by-step explanation:

The formula for calculating volume of a sphere is the following:

4/3·π·r³

The question asks for you to substitute 3.14 instead of using the exact number π.

∴V=4/3·3.14·6.3^3

V=1046.86344

Now round your answer to the nearest tenth:

1046.86344 -->1046.9

∴V=1046.9

Answer:

4.245 x 10^4

Step-by-step explanation:

10^4 = 10,000

10^3 = 1,000

4.235 * 10,000 = 42,350

7.152 * 1,000 = 7,152

Answer:

x=52°

Step-by-step explanation:

because of the vertical angles theorem

Answer:

x=52°

Step-by-step explanation:

   the vertical angles theorem