The current population of Rochester is 211,000 and is decreasing at a rate of 4.1% every ten years. Which function can be used to find the population 30 years from now?

Answers

Answer 1

Answer:

211,000(0.97)t

Step-by-step explanation:

Firstly; Write the exponential decay function for this situation.

y = a(1 – r)t                                Write the formula.

= 211,000(1 – 0.041)t                 Substitute 1700 for a and 0.03 for r.

= 211,000(0.97)t                        Simplify.        

Next; Find the population in function.

y = 1700                    Substitute 12 for t.    

 ≈ 1180                      Use a calculator and round to the nearest whole number.                                  

The population in 30 years function will be approximately 211,000(0.97)t.


Related Questions

The vertices of triangle ABC are A(−2, 3), B(4, 3), and C(−2, −4). The triangle is dilated with a scale factor of 2. Estimate the perimeter of the dilated figure to the nearest whole number.

Answers

Answer:

Use dynamic geometry software to draw any triangle and label it △ABC. a. Dilate △ABC using a scale factor of 2 and a center of dilation at the origin to form ... the scale factor is k = 3. —. 2 . So, the dilation is an enlargement. b. Because. CP′ ... Graph △ABC with vertices A(2, 1), B(4, 1), and C(4, −1) and its image after a.

Step-by-step explanation:


How much larger is 6 x 10^5 compared to
2 x 10^3?Explain how you know.

Answers

Answer:

6 x 10^5 is 300 times greater than 2 x 10^3.

Step-by-step explanation:

Use division to compare.

(6 × 10^5)/(2 × 10^3) = 6/2 × 10^5/10^3 = 3 × 10^2 = 3 × 100 = 300

6 x 10^5 is 300 times greater than 2 x 10^3.

There is 6 × 10⁵ is 300 times greater than 2 × 10³.

What is the Scientific Notation?

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The exponents are given in the question, as follows:

6 × 10⁵ and 2 × 10³

The exponents in scientific notation as a shorthand for the number of zeroes in the number.

We use division to compare.

( 6 × 10⁵)/(2 × 10³)

= 6/2 × 10⁵/10³

= 3 × 10²

= 3 × 100

= 300

This means 6 × 10⁵ is 300 times greater than 2 × 10³

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Which of the following is not a real number?
O A. V-3
O B. 4
O C. 15
OD. VO

Answers

A

Step-by-step explanation:

Because it's a complex number

PLEASE HELP!!!

Which line is the best model for the data in the scatter plot?

Answers

Answer:

top left

Step-by-step explanation:

it goes through the most dots

hello today my exam has finished​

Answers

Answer:

congratulations x3

Step-by-step explanation:

Answer:

I have to wait for one ...............

Fran's filing cabinet is 6ft in height, 1 1/3 ft wide, and 3ft long. She plans to paint all sides except the bottom of the cabinet. I have to Find the area of the sides she intends to paint.

Answers

Answer:

Area of the cabinet to be painted =    56 ft²

Step-by-step explanation:

The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.

Surface Area= 2 lb+ 2hb + 2lh

where l = length , b= breadth and h= height.

From the figure we see that the area of the bottom is given by length * breadth  so deducting this from the total surface area of the cuboid gives the surface of the cabinet.

Area of the cabinet  to be painted=  lb+ 2hb + 2lh

Putting the values we get

Area of the cabinet to be painted =  lb+ 2hb + 2lh

                                              = 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)

                                                = 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)

                                              = 4+ 2(8) +2(18)

                                               = 4+16+ 36

                                               56 ft²

This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.

65.6g of sugar is needed to make 8 cakes. How much sugar is needed for 5 cakes?

Answers

Answer:

41 grams

Step-by-step explanation:

Ratios:

[tex]\frac{65.6}{8} =\frac{x}{5} \\\\8x=328\\x=41[/tex]

Answer:

41 Grams of sugar

Explanation:

65.6/8 = 8.2

So means 8.2 grams of sugar per cake then,

8.2 x 5 = 41 grams of sugar

Hope this helps! :)

If MO bisects angle PMN, the measure of angle PMN equal 74 and the measure of angle OMN equals 2x + 7, find the value of x

Answers

Answer:

x = 15

Step-by-step explanation:

Bisects means divide in two equal parts.

Therefore, 74/2 = 37

37 = 2x+7

30 = 2x

15 =  x

x = 15

use the circle below to answer the question. find mBDC

Answers

The answer is 142
Since there is a right angle next to 52 you add 52+90 to get 142.

Answer: 142 degrees

mBC = 52

mCD = 90

90 + 52 = 142

23.
Maria has a rectangular cookie sheet that measures 10 in. by 14 in. What is the approximate
length of the diagonal of the cookie sheet?
A.
B.
17 in.
4 in.
C.
D.
296 in.
24 in.
plz help with the problem

Answers

add it and you will get 24 so pick D

-8 = 4 ( x - 1 ) solve for x

Answers

Answer:

-1

Step-by-step explanation:

Find sin A.16/12, b.16/20, c.12/20, d. 12/16, I will give branliest!!!, pls help!

Answers

Answer:

B) 16/20

Step-by-step explanation:

sin∅=opposite/hypotenuse

sin∅=16/20

Therefore, your answer is B.

Answer:

(12/16)

Step-by-step explanation:

What is the diameter of a circle go through

Answers

Answer:

The diameter of a circle passes through the center of the circle and has its endpoints on the circle itself. The diameter of any circle is two times the length of that circle's radius.

Step-by-step explanation:

To find the diameter of a circle, you need to know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.

Use the Parent function and Function 2 to choose the best statement comparing the graphs to each other.

Parent Function: y = 1/5x^2

Function 2: y = 1/5x^2 +7

A. Function 2's graph is shifted down 7 units from the Parent Function's graph.

B. Function 2's graph is shifted up 7 units from the Parent Function's graph.

C. Function 2's graph is shifted left 7 units from the Parent Function's graph.

D. Function 2's graph is shifted right 7 units from the Parent Function's graph.

Answers

Answer:

the answer is A&d

Step-by-step explanation:

I took the quiz and got 100

HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!

Answers

Answer:

Step-by-step explanation:

The field was 5⁄6 of an acre and 1⁄3 of the field was planted in strawberries. How many acres are planted in strawberries?

Answers

Answer:

7/6 or 1 1/6

Step-by-step explanation:

Here's how you add them!

5 /6  + 2/6  

Step 1

Since our denominators match, we can add the numerators.

5 + 2 = 7

Answer:

7 /6

Step 2

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 5/6 + 2/6

Answer:

[tex]\frac{5}{18}[/tex]

Step-by-step explanation:

To calculate the amount of acres planted in strawberries, all you need to do is  simple multiplication.

[tex]\frac{5}{6}[/tex] × [tex]\frac{1}{3}[/tex]

multiply the numerators by each other

[tex]5[/tex] × [tex]1[/tex] [tex]= 5[/tex]

the numerator of the new fraction is 5

multiply the denominators by each other

[tex]6[/tex] × [tex]3=18[/tex]

the new denominator is 18

the new fraction is [tex]\frac{5}{18}[/tex]

Need help with number 6 please.

Answers

Answer: D

Step-by-step explanation:

36.20/10= 3.62

3.62x7= 25.34

$25.34

A water pipe has a flow of 2 gallons per minute how many 2 qt could fill it in 1/2 hour?

Answers

Answer:

60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120

Step-by-step explanation:

Hope this helps!

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answers

Step-by-step explanation:

Answer:

Do you need help with something or is this fr33 points?

If x=2, what is the value of x (14-x)

Answers

Answer:

24

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The area of a rectangle is 26m^3n^4p^8.If the length of the rectangle is 13mn^3p^6 then which expression represents the width?

Answers

Answer:

width = area/Length

= 26mn^3p^4p^8 / 13mn^3p^6

Solve for X, show work PLS =)
½(4x+2)=2x-4

Answers

4x+2=4x-8
2=-8
answer: no solutions

The regular price of a pair of Rothy's (water bottle shoes) is $145. They are on sale for 38% off. What is the sale price?

Answers

Answer:

$89.90

Step-by-step explanation:

38% corresponds to the decimal fraction 0.38.  

The amount of the discount is 0.38($145), or $55.10.  Subtracting this amount from the regular price yields $145 - $55.10 = $89.90.

A faster way of doing this problem is to subtract 0.38 from 1.00, obtaining 0.62, and then multiplying $145 by this 0.62:  $89.90.

Nolan reports the weather for TV 12's popular afternoon news show. Last month, he tracked
the noon temperature each day in the two largest cities in the area, Hooverville and Deeson
City.
Which city had a lower median temperature?
Hooverville
Deeson City

Answers

Answer:

Hooverville

Step-by-step explanation:

The Hooverville has lower median temperature.

What is Box and Whisker Plot?

A box and whisker plot is a method for abstracting a set of estimated data using an interval scale. Another name for it is simply a box plot. Most of the time, these are used to interpret data. It is one kind of graphical method that shows how the data in the dataset changes. The histogram can also be used to show the data. However, the histogram provides an adequate display. Since multiple sets of data can be displayed in the same graph, a box and whisker diagram will provide additional information, making it superior to a histogram.

Given Box and Whisker Plot of two cities which show's the  noon temperature each day,

From the graph Median of Hooverville is 36 and

median of Deeson City is 38

we can say that Hooverville has lower median temperature.

Hence the lower median temperature is of Hooverville.

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7th grade math help me pleaseee

Answers

Answer:

He bought 26 stamps

Step-by-step explanation:

13.66=.39x+4.30

9.36=.39x

26=x

Answer:

24 stamps

Step-by-step explanation:

13.66 - 4.3 = 0.39s

9.36 = 0.39s

Divide both sides by 0.39

24 = s

Or turn it:

s = 24

A baker has 5\dfrac145
4
1

5, start fraction, 1, divided by, 4, end fraction pies in her shop. She cut the pies in pieces that are each \dfrac18
8
1

start fraction, 1, divided by, 8, end fraction of a whole pie.
How many pieces of pie does she have?

Answers

I don't really understand it either 32/1

Answer:

42 is the answer on khan

Step-by-step explanation:

hope this helps!

A satellite is at a distance of 1.3776 x 108 feet from the center of Earth. There are approximately
3,280 feet in a kilometer. What is the distance in kilometers between the satellite and the center of Earth?
Write your answer in scientific notation.
Enter only your answer in the space provided.

Answers

Answer:4.2 x 10^4 your welcome

Step-by-step explanation:

PLSS HELP WITH THSI IMMEDIATELY!!!! i’ll give brainiest if u don’t leave a link.

Answers

Answer:

Step-by-step explanation:

All the three sides are equal. So, it is equilateral triangle.

All the angles are less than 90°, so, it is acute triangle

Answer:

it's acute and equilateral

Step-by-step explanation:

How many solutions does this system of equations have?

y = -1/3x + 7
y = -2x^3 + 5x^2 + x - 2

Answers

Answer:

its one solution

Step-by-step explanation:

This system of equations have a unique solution.

What is a system of equation?

A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

The system of equations are

y = -1/3x + 7  ------- (1)

y = -2x^3 + 5x^2 + x - 2 ------- (2)

Equation 1 is a linear equation and equation 2 is a polynomial equation.

So graph these two equations to find the solution.

The graph below shows the plotting of these two equations and

solution of these equations.

From the graph, it is clearly seen that this system of equation has only one solution.

Hence we can conclude that this system of equations have a unique solution.

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In a quiz , team A scored 2 ,4 , -2 , 0 , -2 team B scored -4 ,2 , 2 ,-2 ,4 in successive5 rounds

.Which team scored more and by how much?

Please help​

Answers

Answer:

a. 2  b. 2

Step-by-step explanation:

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