A certain population has been show to be declining at a 3% annual rate. The initial population is 50,000. What will the population be after 8 years?

Answers

Answer 1

Answer: 39,187 people

Step-by-step explanation:

This would be best answered with a future value formula:

= Population * ( 1 + interest rate) ^ number of years

The population is declining so the interest rate will be a negative: -3%

= 50,000 * ( 1 - 3%)⁸

= 39,187 people


Related Questions

A rectangular prism has a length of 13 feet, a height of 8 feet, and a width of 7 feet.
What is its volume, in cubic feet?

Answers

Answer:

v=728ft^3

Step-by-step explanation:

Answer:

728 ft^3.

Step-by-step explanation:

7 * 8 * 13

= 728 ft^3.

The sum of two numbers is 38. The greater number is 8 more than the other number. Find each number.

Answers

Step-by-step explanation:

Answer:

23 and 15

Step-by-step explanation:

Create a system of equations where x is the greater number, and y is the smaller number.

x + y = 38

x = y + 8

Solve by substitution, by substituting the second equation into the first one, then solving for y:

x + y = 38

(y + 8) + y = 38

Add like terms and solve for y:

2y + 8 = 38

2y = 30

y = 15

Add 8 to this, to find the greater number:

15 + 8

= 23

So, the numbers are 23 and 15.

3-2i+8=23 can you solve this find what i equals

Answers

Answer:

i = -6

Step-by-step explanation:

3 - 2i + 8 = 23

3 + 8 - 2i = 23

11 - 2i = 23

11 - 11 - 2i = 23 - 11

-2i = 12

-2i ÷ -2 = 12 ÷ -2

i = -6

8. Find mED.

( The ED us and arc )

Answers

Hi I need more details I this because I cannot see if this is A equation I can answer

lol what is the answer pls

Answers

Answer:
24a³
Step-by-step explanation:
Simplify, then, 2.1 2³ divided by 2¹= 2 (³_¹)= 2²
( 3 . 4³ .2. =24a³.

Factor completely 625x4 − 81.

(5x − 3)(5x − 3)(25x2 + 9)
(5x − 3)(5x + 3)(25x2 − 9)
(5x + 3)(5x + 3)(25x2 + 9)
(5x − 3)(5x + 3)(25x2 + 9)

Answers

The correct answer is D

Determine whether each given pair of end points lies on the same horizontal or vertical line. If so, find the length of the line segment that joins the pair of points. If not, explain how you know the points are not on the same horizontal or vertical line.

Answers

Answer:

[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]

They lie on the same horizontal line

Distance = 11 units

[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]

They do not lie on the same vertical or horizontal line

Step-by-step explanation:

Given

[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]

[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]

Required

Determine if the points lie on the same vertical or horizontal line

A point is represented as: [tex](x,y)\\[/tex]

For a pair to lie on the same horizontal line, then they must have the same x values i.e. [tex](x,y_1)\ and\ (x,y_2)[/tex]

For a pair to lie on the same vertical line, then they must have the same x values i.e. [tex](x_1,y)\ and\ (x_2,y)[/tex]

Using the above illustration, we have:

[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]

The above have the same x values (0), hence they lie on the same horizontal line.

The distance between them is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]d = \sqrt{(0-0)^2 + (-2 - 9)^2}[/tex]

[tex]d = \sqrt{0^2 + (-11)^2}[/tex]

[tex]d = \sqrt{0 + 121}[/tex]

[tex]d = \sqrt{121}[/tex]

[tex]d = 11[/tex]

The distance between them is 11 units

[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]

The above pair do not have the same x value and they do not have the same y value.

Hence, they do not lie on the same vertical or horizontal line

If point Cis between points A and B, then AC + __ = AB.
A. ABC
B. CA
C. BC
D. AB

Answers

I think it’s C. I also just posted a question so if anyone could answer or look at the comments that would be AMAZING

What is the measure of the smallest angle in the
diagram?
15°
299
32°
45°

Answers

Answer:

15

Step-by-step explanation:

it all comes down to 7x-1

then set that equal to 106 so it looks like 7x - 1 =106

106 - 1 = 105

105/7 = x

x = 15

good luck on your test

Answer:

Step-by-step explanation:

x -y = 3


solve for y


Answers

Answer:

y=x−3

Step-by-step explanation:

x−y=3

Step 1: Add -x to both sides.

x−y+−x=3+−x

−y=−x+3

Step 2: Divide both sides by -1.

−y/−1=−x+3/1

y=x−3

Which of the following are solutions to the equation below?
Check all that apply
(5x-2)² = 10​

Answers

The solution to the equation is given by:

F. [tex]x = \frac{\sqrt{10} + 2}{5}[/tex]

What is the equation?

It is given by:

[tex](5x - 2)^2 = 10[/tex]

First, we apply the square root to both sides to remove the square, hence:

[tex]\sqrt{(5x - 2)^2} = \sqrt{10}[/tex]

[tex]5x - 2 = \sqrt{10}[/tex]

Then, isolating x:

[tex]5x = \sqrt{10} + 2[/tex]

[tex]x = \frac{\sqrt{10} + 2}{5}[/tex]

Given by option F, which is the solution.

More can be learned about equations at https://brainly.com/question/25537936

Can you help me find the B

Answers

Answer:

32°+b = 180°

b = 180° - 32° = 148°

This scatter plot shows the relationship between the average weight and average heart rate for 11 different animals. The line of best fit is shown on the graph. Select True or False for each statement based on the graph.

Answers

Answer:

See below

Step-by-step explanation:

1) I would lean more toward false because most of the points aren't in a straight line

2) That is most likely true because the line of best fits appears to be hitting that point

3) That is false because point D is located on the line of best fit which means it isn't an outlier

(uploading to make sure it’s correct) i’ll give brainliest

Answers

Answer:

The median is 3 miles .....

Answer:

the median is 4 miles

list then from least to greatest and cross off a number from each side

Need Help Need Help Pls
Part A: Create a scatter plot to represent the data shown above. Sketch the line of best fit. Label at least three specific points on the graph that the line passes through. Also include the correct labels on the x-axis and y-axis. Part B: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer. Part C: Use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.​

Answers

It is to be noted that the scatter plot that represent the above data is attached accordingly.

What is a scatter plot?

A scatter plot is a graph in which the data of two variables are displayed along two axes, and any association is revealed by the pattern of the resultant dots.

Remember Scatter plot is a type of x-y graphX is the horizontal line and will be the AgeY is the vertical lien and will be Weight

What is the Algebraic equation of the best fit line in slope-intercept form? [Part B]

Slope-intercept form is y = mx + b

m is the gradient of the line, determined by calculating "change of y divided by change of x"

Age 2 and weight 32 would be the point (2, 32) on the graphAge 8 and weight 60 is the point (8, 60) in the graph

To compute for the gradient (m) we say:

(60 - 32)/(8-2)

= 28/6

m = 4.667

Next we calculate for b

The point on the graph where the line crosses the vertical line is known as the y-intercept, or b. (y-axis).

Put one of the graph's points, say (2, 32), and the amount of m you just computed into the slope-intercept form to calculate b.

That is:

32 = m(2) + b

Recall that m = 4.667

Hence 32 = 4.667 * 2 + b

32 = 6.667 + b

b = 32 - 6.667

b = 25.33

Using the equation for the line of best fit what is the approximate weight of the little girl at an age of 14 years old? [Part C]

Given that we have the figures for m and b,
Recall that the function is: y = mx + b; and that

X is the horizontal line and will be the AgeY is the vertical lien and will be Weight

If x = 14 years, then

y = 4.667 * 14 + 25.33

y = 90.668

y ≈ 91 kg.

Learn more about scatter plots at;
https://brainly.com/question/6592115
#SPJ1

find the mean median and mode. 63, 40, 51, 70, 36, 21, 51, 28, 19

Answers

MODE: 51
MEAN: 42.1
MEDIAN: 40
RANGE: 70-19 = 51
(The range just in case you need it)

The mean, median, and mode of the data will be 41.111, 40, and 51 respectively.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The data is given below.

63, 40, 51, 70, 36, 21, 51, 28, 19

Arrange the data in ascending order, then we have

19, 21, 28, 36, 40, 51, 51, 63, 70

Then the mean of the data is given as,

Mean = (19 + 21 + 28 + 36 + 40 + 51 + 51 + 63 + 70) / 9

Mean = 379 / 9

Mean = 42.11

The median of the data is the middle term of the data which is 40.

The mode is 51 because the number frequency of 51 is the highest.

More about the statistics link is given below.

https://brainly.com/question/10951564

#SPJ2

asap! please help i’ll give brainliest

Answers

well it would make sense to say that the longest fish is 12in longer than the shorter fish because if you take 21in (the longest fish) and subtract 9 (the shortest fish) you would get 12.

Hope that helped pls give brainlist

HELP PLZ


Lisa went to the store to buy shirts and pants. Shirts
were $5 each and pants were $15 each. She can
spend a total of $135.
Write an equation to represent the situation. Let s
represent the number of shirts and p represent the
number of pants.

Answers

Answer:

In this question you got multipel answers.

If she buys as much pants as she can;

135 - (15.p) = 5.s

135 - (15.9) = 0

so now she has bought no shirts and 9 pants.

if she buys as much shirts as she can;

135 - (5.s) = 15.p

135 - (5.27) = 0

so now she has bought no pants and 27 shirts.

If she wants a shirt for each pants the equation would look something like this;

p=s=x

135 - (15.x) = 5.x

but with each pants she can buy three shirts, so 9 = 3.3

(7.15)+(6.5)= 105+30= 135

so now she has 7 pants and 6 shirts.

When the sum of 3 times a number and 4 is increased by 6, the result is 2 times a number decreased by 14. Determine whether each step is a correct step for writing and solving this equation by selecting Yes or No. A Write the equation 3n + 4 + 6 = 2n – 14. Yes No B Write the equation 3(n + 4) + 6 = 2(n – 14). Yes No C Combine like terms. Yes No D Subtract 2n from each side. Yes No E Add 10 to each side. Yes No F Subtract 10 from each side. Yes No

Answers

Answer:

A. Yes

B. No

C. Yes

D. Yes

E. No

F. Yes

Step-by-step explanation:

A Write the equation 3n + 4 + 6 = 2n – 14. Yes

B Write the equation 3(n + 4) + 6 = 2(n – 14). No

C Combine like terms. Yes

D Subtract 2n from each side. Yes

E Add 10 to each side. No

F Subtract 10 from each side. Yes

Solution:

sum of 3 times a number and 4 is increased by 6, the result is 2 times a number decreased by 14

Let the number = n

{(3 * n) + 4} + 6 = (2 * n) - 14

3n + 4 + 6 = 2n - 14

3n + 10 = 2n - 14

3n + 10 - 2n = 2n - 14 - 2n

n + 10 = -14

Subtract 10 from each side

n + 10 - 10 = -14 - 10

n = -24

Answer: A. Yes B. No C.Yes D. Yes E. No F. Yes

Step-by-step explanation:

I stayed up all night trying to figure out this question but I just can’t

This is sss congruence, just a heads up

Answers

Answer:

from what we're given on the drawing, ac and pt are congruent

and from the question format, ab is equal to pq, ac is equal to pr

Can someone summarize this for me please?

Answers

Answer:

0 is 16 1 is 13 2 is 17 that's it final answer

The circumference of a circle is 22π in. What is the area, in square inches? Express your answer in terms of π

Answers

Answer:

A = 121 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi*r

22 pi = 2 * pi *r

Divide each side by 2 pi

22 pi / (2 pi) = 2 pi r / (2pi)

11 = r

Now find the area

A = pi r^2

A = pi (11)^2

A = 121 pi in^2

What expression is equivalent to -2 (5x - 4) + 13x

Answers

What expression is equivalent to -2 (5x - 4) + 13x

=3x+8

Which of the following are solutions to the equation below?
Check all that apply
4x²- 12x + 9 = 5​

Answers

Answer:

A & B

Step-by-step explanation:

4x²- 12x + 9 = 5

4x²- 12x + 4 = 0

devided by 4

x²-3x+1=0

x = (3 ± √9-4)/2 = (3±√5)/2

x = (√5+3)/2 or x= (-√5+3)/2

A 23.9 foot tall streetlight casts a shadow that is 17.7 feet long. How long is the shadow cast by a nearby parking meter that is 3.6 feet high?

Answers

Answer:

2.67 feet long

Step-by-step explanation:

Create a proportion where x is the length of the parking meter's shadow:

[tex]\frac{23.9}{17.7}[/tex] = [tex]\frac{3.6}{x}[/tex]

Cross multiply and solve for x:

23.9x = 63.72

x = 2.67

So, the parking meter's shadow is approximately 2.67 feet long

PLEASE HELP! WILL NAME BRAINLIEST!!

Answers

Answer:

Y = 60 degrees and X = 12

Step-by-step explanation:

x+3 and 15 are congruent so x+3 = 15, 12+3 = 15 therefore x = 12

y = 60 vertically opposite angles are equal. :D

Answer:

x= 12

y= 60

Step-by-step explanation:

to find x we need to know that lines DC and AB are parallel, so they have the same length (I don't know if that is why they have the same length, but I know they do lol)

So you can make this equation and solve:

15=x+3

-3     -3

12=x

THEN, to find y angle A and C are vertical angles, so they are congruent (this is the reason why they have the same measure lol)

So, y=60 degrees :)

I hope this sorta helps lol :)

The radius of a circle is 3 feet. What is the circle's area?


(PLEASE HELP!)

Answers

Answer:

28.27 I believe

Step-by-step explanation:

Answer:

28.26ft²

Step-by-step explanation:

A = πr²

plug in 3 for r

A = π(3²)

A = π(9)

A = 3.14(9)

A = 28.26ft²

what is the y intercept of . y = ½x -5

Answers

Answer: (0, 10) or 10

Step-by-step explanation:

plug 0 into y

(0) = 1/2x - 5

1/2x - 5 = 0

      + 5 + 5

1/2x = 5

* 2    * 2

x = 10

In the graph below, Prepresents the pre-image and P' represents the image. This graph illustrates a reflection
over the .?
1+
P
a. Z-axis
b. xy-axis
Cy-axis
d. X-axis

Answers

Answer:

Hello! Just did the assignment! Your answer would be d. x-axis! Hope you stay safe! :)

Round to nearest tenth pls

Answers

Answer:

28.9

Step-by-step explanation:

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