A population of 752,000 people decreases at a rate of 1.4% each year. Let t represent the number of years and A(t) represent the amount after years, Which function models this situation?

Answers

Answer 1

Solution :

Initial population, P = 752,000 .

Rate of decrease, r = 1.4 % .

Now, population decrease in 1st year :

[tex]P_1 = P( 1 - 0.014 )[/tex]

Also, population decrease in 2nd year :

[tex]P_2 = P_1( 1 -0.014 )\\\\P_2 = P( 1 - 0.014)^2[/tex]

Similarly for each next x year, population will be :

[tex]P_x = P( 1-0.014)^x[/tex]

Therefore, population after x years is given by :

[tex]P_x = 752000 ( 1-0.014)^x[/tex]


Related Questions


Please Help Me
Find the premiter of the semi circle l. Round to the nearest hundredth ( use Pi key)​

Answers

Answer:

circumference of a circle = πd

π12 = 37.6991118

37.6991118/2 = 18.8495559

18.8495559 + 12 = 30.8495559

perimeter = 30.85

I need help with this

Answers

Answer: option #2

Step-by-step explanation:

each new number equals the previous number x4.

C
2*4=8
8*4=32
32*4=128

(7, 11)
(3, 6)
(5,8)
Is this relation a function?

Answers

Answer:

yes

Step-by-step explanation:

because the inputs are repeated to the same number.

Example of what im  talking about: (3,7), (4,9), (3,9) this isn't a function

lan ran a total of 15.75 miles over 6 days. How many miles did he run per day?​

Answers

Answer:

2.625

Step-by-step explanation:

Divide 15.75 by 6 days

Answer:

2.625 mi each day cuz 15.75 divided by 6 is 2.625

the length of the red line segment is 6

Answers

Answer:

What is the question or image?

Step-by-step explanation:

Need it to solve

How to use substitution to solve

Answers

Given:

A. Evaluate [tex]\dfrac{3}{8}x-4.5[/tex] when x=0.04.

B. Evaluate [tex]8.4n-3.2p[/tex] when n=2 and p=4.

To find:

The values of the given expression at the given values.

Solution:

A.

We have,

[tex]\dfrac{3}{8}x-4.5[/tex]

Putting x=0.04 in the above expression, we get

[tex]\dfrac{3}{8}(0.04)-4.5[/tex]

[tex]=0.015-4.5[/tex]

[tex]=-4.485[/tex]

Therefore, the value of the expression at x=0.04 is -4.485.

B.

We have,

[tex]8.4n-3.2p[/tex]

Putting n=2 and p=4 in the above expression, we get

[tex]8.4(2)-3.2(4)[/tex]

[tex]=16.8-12.8[/tex]

[tex]=4[/tex]

Therefore, the value of the expression at n=2 and p=4 is 4.

-10 is 9 less than a number w

Answers

Answer:

-1

Step-by-step explanation:

To figure this answer out, you add 9 to -10, which is -1

Hope this helps

The scatter plot shows the number of passengers at a major airport over a​ 15-year period from the year 2000. About how many passengers traveled through this airport in the year​ 2011?

Answers

Answer:

The answer is 65

Step-by-step explanation:

​First, determine the​ x-value that corresponds to the given year.

Since x corresponds to the number of years since​ 2000, the year 2009 corresponds to an​ x-value of 9.

​Next, find the​ y-value on the trend line that corresponds to an​ x-value of 9. The problem statement has been updated to show lines traced from the​ x-value of 9 to the trend line and then to the​ y-value.

Notice that the point​ (9,70) appears to lie on the trend line.

​Therefore, in​ 2009, approximately 70 million passengers travelled through the airport.

Question is complete.

Answer:

Step-by-step explanation:

gulp


This recipe makes 4 portions of porridge.
Complete the amount of each ingredient that is needed to make just 3 portions.

Recipe: Serves 4
240 g oats
1.2 L milk
60 g sugar

Can someone help

Answers

Answer:

180 g oats

0.9 L milk

45 g sugar

Step-by-step explanation:

those are all divided by 3/4 making just 3 portions :D

in the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.


Helpppp

Answers

Part A = 46

64+70=134, 180-134=46

Part B

PRD and BPR are same side interior meaning they are supplementary so

BPR=70 and APB is a straight line meaning it = 180 which gives you

64+70+x=180

The measure of angle x is 50 degrees.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.

We can see that Angle BPR and angle PRD are supplementary angles, thus their sum is equal to 180

Angle BPR + 115 = 180

Now subtract 115 from both sides;

BPR = 65

Also, the angles APQ, x, and BPR form a straight line and their sum is equal to 180

65 + x + 65 = 180

Now add like terms;

130 + x = 180

x = 50

Learn more about supplementary angles here:

https://brainly.com/question/2882938

#SPJ2

8(x+9) =




dhjsjandkwkks

Answers

8

+
7
2 is the solution

find the are of this rectangle write answer in simplest form

Answers

Answer:

9 7/9 0r 88/9

Divide: 15m^2n + 20mn/5mn

Answers

The answer is
15m^2n + 4/n
Hope that helps, have a nice night or day <4

what is one way to multiply 178x56

Answers

Answer:

Uh.. by just multiplying them.. 178x56= 9968

Step-by-step explanation:

Hav a gud day :P

help me out with this so confused

Answers

The correct answer is 3.) 5 to the square root of 9. : )

Answer:

The answer is 3.

Step-by-step explanation:

A rational number means the number can be written as a fraction of two integers. [tex]5\sqrt{9}[/tex]=5*3=15, so it is the only rational number. The other answers cannot be written as a fraction of two integers.

What is the length of segment AB?

A) 2
B)2.5
C) 5
D) 10

Answers

Answer:

10..................

△ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.


A. ∠1≅∠B


B. m∠BAC+m∠C+m∠2=180°


C. m∠1+m∠BAC+m∠2=180°


D. ∠1≅∠C


E. ∠2≅∠A

Answers

Answer:

I think a) and c is correct.



Is (4,3) a solution of the graphed inequality?

Answers

Yes, since it doesn't show a line going through (positive) (4,3) and yet is unequal.

what is 3856 times 4656 equal

Answers

(4656) (3856) = 17,953,536

Find x and y so that the quadrilateral is a parallelogram.

Answers

Answer:

Result:

The value of x = 12The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.  

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

The value of x = 12The value of y = 21

The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.

Answers

Answer:

6

Step-by-step explanation:

it as a interior angle of a regular polygon is 23

click to see the question

Answers

A and C is the answer

hope you'll learn from your teacher how?

...........A and C ..........

Corey bought 2 1/2 liters of paint for$60

Answers

Corey got scammed and should return that paint
He got scammed he need sell dat paint and get his money back

A recipe needs 1/2 teaspoon of vanilla for every 2 1/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?

Answers

The answer would be 1 teaspoon
Answer

The answer would be 1 teaspoon

Learned this in math

Pls give me BRAINLIEST

Serenity has some pennies and some nickels. She has no less than 18 coins worth at most $0.66 combined. If Serenity has 12 pennies, determine the maximum number of nickels that she could have. If there are no possible solutions, submit an empty answer.

Answers

Answer: 10 nickels

Step-by-step explanation:

A pennie is a cent or $0.01. Serenity has 12 pennies so the amount she has from pennies is:

= 12 * 0.01

= $0.12

The amount she has in nickels at most is therefore:

= 0.66 - 0.12

= $0.54

A nickel is $0.05 so the number of nickels are:

= 0.54/0.05

=  10.8 nickels

= 10 nickels

If she has 10 nickels then the total she would have is:

= (12 * 0.01) + (10 * 0.05)

= $0.62

This fits the parameters

HELP ASAP 15 points
What is the domain of the relation {(-4,1),(-2,0), (8,-1)}?
a {-1,1)
b. {-1, 0, 1)
C. {-4,-2,8)
d. (-4,-2,-1, 0, 1, 8}

Answers

C is the correct answer

Answer the question............​

Answers

Hey there!

The answer to your first question is 4.5 inches by 6 inches.

We can solve this by doing 3 x 1.5 and 4 x 1.5, which equals 4.5 and 6.

The answer to the second part is 27 inches²

The formula for area is length times width, so you can do 4.5 x 6

The answer to the third part is Ralph is incorrect because he probably found the area of the original dimensions, and then multiplied it by 1.5. You have to find the actual dimensions first, and then find the area.

Hope this helps. Good luck, have a great day, and let me know if there's more.

2x+6+7=?
i need help

Answers

2x+13 thats your answer

Answer: 26

6 plus 7 is 13 so 13 x 2 is 26

Step-by-step explanation:

Last year, 11 students tried out for the
debating team. This year 15 students tried
out. What was the percent of increase in the
number of students who tried out?

Answers

136% increase I think

The graph represents a function related to a train's movement over time.
12
11
10
9
8
6
5
4
2
0 1 2 3 4
7 8 9 10 11 12
Time
Which function could this graph represent?
A.
the speed of a train as it decreases its rate of acceleration
B.
the speed of a train as it slows down when approaching a station
C.
the distance of a train from a station it has departed as it accelerates
D.
the distance of a train from a station it approaches at a constant speed

Answers

Answer:

Where is the question?

Step-by-step explanation:

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