A population P is initially 3000. Find an exponential model (growth or decay) for the population after t years if the population P decreases by 0.36 every 7 years. (Round your terms to three decimal places.)

Answers

Answer 1

The population model is an exponential decay because it decreases

The exponential model of the population is P = 3000(0.64^1/7)^t

How to determine the function?

The population decreases by 0.36 every 7 years.

This means that the function is an exponential decay.

An exponential decay function is represented as:

P = a((1 - r)^1/n)^t

Where:

a represents the initial value (3000)r represents the rate (0.36)n represents the number of years the population decreases (7)P and t are the variables

So, we have:

P = 3000((1 - 0.36)^1/7)^t

Evaluate the difference

P = 3000(0.64^1/7)^t

Hence, the exponential model of the population is P = 3000(0.64^1/7)^t

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Related Questions

Please help I'll mark brainliest. ​

Answers

Answer:

I believe the answer is class 3 because each number of boys and girls goes into class 3.

Answer: Class 3.

Step-by-step explanation: Answers with a 1 to 2 ratio have ratios like 4 to 8, or 5 to 10.  Class 3 is the only one with a 1 to 2 ratio, which is 7 to 14, with 7 being the number of girls in that class and 14 being the number of boys in that class.  Class 1 has a 1 to 1 ratio, class 2 has a 2 to 1 ratio, and class 4 has a different ratio than all the rest, so that's why all of those are wrong. Therefore, class 3 is your answer.

Have a great day! :)

please Show the algebraic work steps thank you

Answers

Answer:

-0.125

Step-by-step explanation:

Shown in the image above

solve to get brainiest ​

Answers

3.

[tex] \frac{3}{10 } = 0.3[/tex]

[tex]0.25 < 0.3 < 0.333[/tex]

[tex] \frac{32}{100} = \frac{8}{25} = 0.32[/tex]

[tex]0.25 < 0.32 < 0.333[/tex]

[tex] \frac{26}{100} = \frac{13}{50} = 0.26[/tex]

[tex]0.25 < 0.26 < 0.333[/tex]

[tex] \frac{28}{100} = \frac{7}{25} = 0.28[/tex]

[tex]0.25 < 0.28 < 0.333[/tex]

[tex] \frac{252}{1000} = \frac{63}{250} = 0.252[/tex]

[tex]0.25 < 0.252 < 0.333[/tex]

5.

[tex] \frac{ \frac{ - 2}{5} + \frac{1}{2} }{2} = \frac{ \frac{ - 4 + 5}{10} }{2} = \frac{ \frac{1}{10} }{2} = \frac{1}{20} [/tex]

Am I right??? Please help me

Answers

Function: y = 2x²-5

Find y-intercept:

y = 2(0)²-5

y = -5

Find x-intercept:

2x²-5 = 0

2x² = 5

x² = 2.5

x = ±√2.5

x = -1.5811 , 1.5811

Graph plotted:

Answer:

Vertex and y-intercept (0, -5)

x-intercepts (-1.58, 0)  (1.58, 0)

opens upwards

other plot points: (-2, 3) (-1, -3) (1, -3) (2, 3)

Step-by-step explanation:

The graph is not quite correct - it's a little too narrow and doesn't go through the points on the graph.

The y-intercept is when x = 0:

f(0) = 2(0)² - 5

      = - 5

Therefore, the y-intercept is at (0, -5)

We also know that the y-intercept is the vertex since the equation is in the form [tex]f(x)=ax^2+c[/tex]

The x-intercepts are when f(x) = 0:

[tex]\implies 2x^2 - 5 = 0[/tex]

[tex]\implies x^2 =\dfrac52[/tex]

[tex]\implies x=\pm1.58113883...[/tex]

As the leading coefficient is positive, the parabola opens upwards.

Finally, input values -2 ≤ x ≤ 2 to find plot points:

(-2, 3)

(-1, -3)

(0, -5)

(1, -3)

(2, 3)

HELP!!!
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=64t-16t^2. What is the maximum height that the ball will reach? Do not round your answer.

Answers

Check the picture below, so it reaches the maximum height at the vertex, let's check where that is

[tex]h(t)=64t-16t^2+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 64}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (64)^2}{4(-16)}\right)\implies \stackrel{maximum~height}{(2~~,~~\stackrel{\downarrow }{64})}[/tex]

Solve sqrtx-11 + 7 = 19

Answers

Answer:

x = 155

Step-by-step explanation:

[tex]\sqrt{x-11} +7=19[/tex]

[tex]\sqrt{x-11} =12[/tex]

[tex](\sqrt{x-11} )^2=12^2[/tex]

[tex]x-11=144[/tex]

x = 155

PLSS ANSWER

Ian drinks two and seven eighths liters of water. Farida drinks one and two eighths liters of water. How many more liters of water does Ian drink than Farida?

a. one and five eighths

b. one and one half

c. one half

d. two eighths

Answers

The answer is one and five eighths.

A cup of chocolate chips weigh about 6 ounces. A recipe calls for 31 4 cups of chocolate chips which is about how many ounces?

Answers

If 1 cup of chocolate chips weighs about 6 ounces

The recipe calls for 3 1/4 cups of chocolate chips.

We need to multiply 6 by 3 which is 18 ounces plus the 1/4 which is 6 times 1/4 = 1.5 ounces

18 + 1.5 = 19.5 ounces of chocolate chip needed

[tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

If one cup of chocolate chips weighs about 6 ounces

we can find out the weight of [tex]3\frac{1}{4}[/tex] cups by multiplying it by the weight of one cup.

[tex]3\frac{1}{4}[/tex] cups = 3 cups + 1/4 cup

= 3 + 0.25

= 3.25 cups

Weight of 3.25 cups = 3.25 cups × 6 ounces/cup

Weight of 3.25 cups = 19.5 ounces

Therefore, [tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

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a cone has a volume of 18π in^3. What are the possible dimensions of the cone? check all that apply..
A. diameter 1in, height 8in
b. diameter 6in. height 6in
c. diameter 3in, height 6in
d. diameter 6in, height 3in
e. diameter 4in, height 13.5in
f. diameter 13.5in, height 4in

Answers

we can do it again and I am a big deal for the first day back to the first to see the first to be in the first time I was a good idea but I have a great time to be the first to see this movie is the best of luck to everyone for all the time of year when I get to the world to me I rent and the rest is history and culture and the rest of your own business and the first

Step-by-step explanation:

sana po makatulong

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The Bombardier Dash 8 aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6200 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6200lb/37 = 167.6lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 185.47 lb and a standard deviation of 39 lb. make sure to include pdf

Answers

Using the normal probability distribution and the central limit theorem, it is found that the probability is of 0.9974 = 99.74%, which means that the pilot should take action.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, for the population, the mean and the standard deviation are given by, respectively:

[tex]\mu = 185.47, \sigma = 39[/tex].

For a sample of 37 passengers, we have that:

[tex]n = 37, s = \frac{39}{\sqrt{37}} = 6.4116[/tex]

The probability that the aircraft is overloaded is one subtracted by the p-value of Z when X = 167.6, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{167.6 - 185.47}{6.4116}[/tex]

[tex]Z = -2.79[/tex]

[tex]Z = -2.79[/tex] has a p-value of 0.0026.

1 - 0.0026 = 0.9974.

There is a 0.9974 = 99.74% probability that the aircraft is overloaded. Since this is a very high probability, the pilot should take action.

To lern more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Please help me the grading period ends in an hour

Answers

1 72
2 60
3 32.7
(The equation for this is 360 / # of angles)
4 140
5 108

6 Trapezoid or quadrilateral
7 not sure sorry
8 square
9 not sure man

These numbers are multiples of ________.
6, 18, 24, 36
A) 4
B) 5
C) 6
D) 8

Answers

Answer:

C. 6

Step-by-step explanation:

Multiples refer to the way their numbers are counted from 1 to 100.

These numbers are multiples of 6.

Multiples of 6 are:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, and 72.

Therefore, the correct answer is C. 6.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

The answer is C.

Step-by-step explanation:

6÷6=1

18÷6=3

24÷6=4

36÷6=6

112 is 80% of what number?

A. 140

B. 896

C. 1,400

D. 8,960

Answers

Answer:

A

Step-by-step explanation:

112/0.8 = 140

Answer:

A

Step-by-step explanation:

I am not sure about the answer

Shawn is typing paper for a class. He can type 1 6/11 pages in 1/3 of an hour. How many pages can shawn type in in one hour

Answers

Answer:

4 7/11

Step-by-step explanation:

1 6/11 * 3 = 3 18/11 = 4 7/11

Could someone help me giving brainliest

Answers

Answer:

The first one. Top left.

Step-by-step explanation:

The top right one makes a triangular prism.

I don't even know if the bottom right is even a thing.

The bottom left is a cube.

Answer: Top left.

Step-by-step explanation: The net of a rectangular prism doesn't have any triangles, so that eliminates the two nets that have triangles.  The net with only squares is the net of a cube, so that isn't right either.  The net above the net of a cube is the correct answer, because it includes rectangles and looks exactly like the net of the rectangular prism.

Let me know if this is right! :)

Explain how using a line plot will help you to collect data

Answers

Answer:

i hope this helps you

Step-by-step explanation:

A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set

and please dont forgets to markas BRAINLIEST answer please

Who is the father of maths???​

Answers

Answer: Archimedes

Step-by-step explanation:

Archimedes was considered the father of mathematics, simply because he made profound advancements in both science and math. His title is purely a nickname, and not because he actually created math.

Answer:

Archimedes is known as the Father Of Mathematics

Step-by-step explanation:

What is the value represented by letter A on the box plot of data? 50, 20, 40, 50, 50, 85

Answers

Answer:

the answer to your question is 5

Step-by-step explanation:

A point located at (-3, 2) is translated down 4 units. What are the coordinates of the image?

(-3, -2)
(1, 2)
(-3, 6)
(-7, 2)

Answers

Answer:

(-3, -2)

Step-by-step explanation:

When a point is translated, the key words are very important to look at.

Up/down means you are translating the y axis.

Left/right means you are translating the x axis.

So using this key, we can solve.

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

A point located at (-3, 2) is translated down 4 units.

Since the point is going down, we will be translating the y axis. 2-4 is -2.

Since the x is staying the same, the x will be -3.

So your translated points are (-3, -2)

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

I hope this helps!

-No one

Which statement about the following system is correct?
y = - 2x + 5
2x + y = – 5
-

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The given equations represents parallel lines, since they have same slope and the y - intercepts of each of the equations are distinct.

Therefore, the correct choice is ~

D. The system is inconsistent because it has no solution.

A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. Write an expression that can be used to find the surface area, in square feet, of the square pyramid.

Please provide an expression, not just the surface area please :)

Answers

Check the picture below.

so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2[/tex]

what is the slope of 5x-4y=3

Answers

Answer:

5/4

Step-by-step explanation:

Hi there!

We are given the line 5x-4y=3, and we want to find the slope of it.

The line is currently in standard form (ax+by=c); one way to find the slope of the line is to convert it into slope-intercept form (y=mx+b)

To do that, we need to isolate y on one side (in other words, we need to solve the equation for y)

First, subtract 5x from both sides

5x-4y=3

-5x     -5x

____________

-4y = -5x + 3

Divide both sides by -4

[tex]y=\frac{5}{4} x - \frac{3}{4}[/tex]

In slope intercept form, m represents the slope; in this problem, 5/4 takes the place of where m should be, meaning 5/4 is the slope.

Hope this helps!

See more on this topic here: https://brainly.com/question/18929849

Drag each expression to its equivalent.

Answers

Answer:

5x+4=2x+3-x+1+4x

7x=3+2x+4+5x-7

2x+3=8+10x-8x-5

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

These are the equivalent expressions.

What is an expression?

It is a sentence with a minimum of two numbers or variables and at least one math operation.

Given expression can be solved like:

1. 2x+3-x+1+4x = 5x+4

Which is same as the first option.

2. 7x-5-2x+9 = 5x +4

Which is same as the first option.

3. 8+10x-8x-5 = 2x+3

Which is same as the third option.

4. 3+2x+4+5x-7 = 7x

Which is same as the second option.

5. x-1+2x+2+4x-1 = 7x

Which is same as the second option.  

6. 4x+6-2x-3=2x+3

Which is same as the third option.

Hence, the equivalent options are :

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

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-3(10)
Simplify
[Multiplication with integers]​

Answers

Answer:

[tex]\boxed{\sf{-30}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is solve by order of operations.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

-3(10)

First, remove parenthesis.

Multiply.

-3*10

Solve.

[tex]\sf{-3*10=\boxed{\sf{-30}}[/tex]

-30

Therefore, the correct answer is -30.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

-30

Step-by-step explanation:

it is adding 10 three times, but then you add the negative after

so it is 10+10+10 because you are multiplying it by 3

you could also add 3 ten times because the communitive property

so 3+3+3+3+3+3+3+3+3+3

you would do the same whether the -3 was in parentheses or not

please help brainliest included for honest attempt
Think of two different technological innovations that occurred in the last 50 years: one that relied largely on innovations within a specific technology (for example, the upgrades that smartphones have seen over the years) and one that relied largely on knowledge or skills that came from a field of technology that was distinct from the main field that innovation deals with (for example, video games that use technology originally designed for navigation). Briefly describe each innovation and what inspired it, then compare the innovations: for example, which innovation seems more of an incremental improvement versus a paradigm-shift in its field? Which one do you think was more widely used in the five years after it was invented? Which one most inspired other innovations?

Answers

Answer:

The Electric Car

The Cell Phone

The GPS

DNA Testing

3D Printing

Twenty years ago, Mike was four times as old as John. Four years from now mike will be twice as old as John let x represent Mike's age and y represent Johns age. Helppp! I need an equation in either standard or slope-intercept form! WILL GIVE BRAINLIEST!

Answers

Answer:

Mike is 68 and John is 32

Step-by-step explanation:

Set equations as follows

20 years ago

Mike was four times as old as John:

x - 20 = 4(y - 20)

Four years from now

Mike will be twice as old as John:

x + 4 = 2(y + 4)

Simplify each equation

x - 20 = 4y - 80 ⇒ x = 4y - 60x + 4 = 2y + 8    ⇒ x = 2y + 4

Solve for y by substitution

4y - 60 = 2y + 44y - 2y = 60 + 42y = 64y = 32

Find the value of x

x = 2*32 + 4 ⇒ x = 68

I hope you can convert the above equations into required format. Let me know if not.

The sale price of an item is $105 after a 30% discount is applied. What is the original price of the item?

SHOW WORK PLEASE AND THANKYOU
and be quick please

Answers

Answer:

$150

Step-by-step explanation:

let x be the original price

105 = 0.7x

150 = x

solve this question plss​ on number line

Answers

Answer:

3. 13/36, 14/36, 15/36, 16/36, 17/36

4.

-0.5 -0.25 0 0.25 0.5

5. 0.05

3.

between 1/2 and 1/3

five rational numbers:

0.35, 0.4, 0.42, 0.45, 0.46

4. Given in the graph below.

5. (-2/5 + 1/2)/2 = 0.05

5
0 = - in
=
in quadrant II
Given cos =
Find sin
3

Answers

Answer:

sinΘ = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

using the identity

sin²x + cos²x = 1  ( subtract cos²x from both sides )

sin²x = 1 - cos²x ( take square root of both sides )

sinx = ± [tex]\sqrt{1-cos^2x}[/tex]

given

cosΘ = - [tex]\frac{\sqrt{5} }{3}[/tex] , then

sinΘ = ± [tex]\sqrt{1-(-\frac{\sqrt{5} }{3})^2 }[/tex]

        = ± [tex]\sqrt{1-\frac{5}{9} }[/tex]

        = ± [tex]\sqrt{\frac{4}{9} }[/tex]

        = ± [tex]\frac{2}{3}[/tex]

since Θ is in quadrant II where sinΘ > 0 , then

sinΘ = [tex]\frac{2}{3}[/tex]

What is the mean (average) of
a, a, b, b, b,c

Answers

Answer:

Ans might be a+b+c

Step-by-step explanation:

Hope the picture will help

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A demand curve enables a firm to examine prices Blank _____. Multiple choice question. in terms of quantity sold relative to the costs to produce the product in terms of supply relative to its profits Can you please help Was Thomas Jefferson against slavery or in defense of slavery ? A=B=C=? ? ? ? ? ? ? ? ? ? ? ? ? ? PA ANSWERR NEED SOME ANSWERS THNKS i am looking for some code to write 1,1,1 to 1,1,20 then switch to 1,2,1 to 1,2,20 all the way up to 20,20,20. any info would help alot thanks. Just need help, can't remember how to solve it. I need help with an argumentative essay on wether college should be free for students who keep their grades up.this assignment grade lvl is 8th Given that V=1,3,4,2 and W= 6,4,7,2 then VW isSelect one:ofO 40 1,3,6,7O 20 2,4 At a conference for 500 people, 10% of the participants are french, 35% are americans, 20% are germans, and are of other nationalities. how many french participants are at the conference? 10 20 40 50 100 BRAINLY POINTS!!!The figure below shows a scatter plot.Which linear equation best represents the data in the scatter plot?A. y = -8x + 0.5B. y = -0.5x - 8C. y = -0.5x + 8D. y = -x + 8.5EXPLAIN YOUR ANSWERSHOW YOUR WORK Match these items.1. disease fightermakes bile2. carry oxygenred blood cells3. renincarries blood back to the heart4. gall bladderexchange oxygen for carbon dioxide5. veinsstores bile6. type of bloodwhite blood cells7. lungsenzyme to digest milk8. livercarries blood away from the heart9. arteriesAB can you help me? please 2=4+7h what does h equal What is a major cause of smog in the United Kingdom?A.automobile exhaustB.polluted groundwaterC.poor farming practicesD.the gold mining industry What is infant mortality? What does de mean in Spanish? (New to Spanish so sorry if this sounds absent minded) A client has recently received a pneumococcal vaccine and the client's B cells are consequently producing antibodies. Which cells may enhance this production of antibodies I need help on this I don't get it please help me on this A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?if necessary, round your answer to the nearest whole number.