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

Tell if the Ratio is Part-to-part or part-to-whole

4 apples to 3 oranges

Answers

Answer: Part-to-part

Step-by-step explanation:

This is a part-to-part, because they show part of apples, and part of oranges. This ratio when set up is 4:3. If the ratio was part-to-whole, then the apples would be compared to the total amount of oranges and apples. The ratio for part-to-whole would be 4:7.

Hope this helps!

Write the equation of the line that passes throught the points (-1, 6) and (5, -4).

Answers

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

psychology!!!!
An individual who exhibits a mixture of schizophrenic symptoms most likely has undifferentiated schizophrenia.


Please select the best answer from the choices provided


T
F

Answers

Answer:

t

Step-by-step explanation:

Answer:t

Step-by-step explanation:the other person was right

please help me i'm going to give you brainless

Answers

Answer: 280 children

Explanation: Each grade has 70 kids. You have 4 total grades (3rd, 4th, 5th, and 6th grade). You have to add the number of kids you have in every grade. In this case, 70 children in 3rd grade, 70 children in 4th grade, 70 children in 5th grade, and 70 children in 6th grade. The problem would look like this:

70 + 70 + 70 + 70

Then your answer is 280 when you add them all together!

Find the volume of the cylinder.

Answers

Answer:

Step-by-step explanation:

V=πr^2h is the equation for volume of a cylinder.

the radius is half of 50 so 50/2=25.

then 75 is the height so you plug the vaules in

V=(3.14)((25)^2)(75)

then multiply and you get 147187.5 rounded to the nearest whole number that is 147188

hope this helps :)

Find an angle between 0 and 360 degrees that is coterminal with 232

Answers

Answer:

Hola que hace

:I

Step-by-step explanation:

On a coordinate plane, what are the center and radius of the circle represented by
(x+3)^2 + (y – 5)^2 = 25?

A. Center: (-3, 5); Radius: 25
B. Center: (3, -5); Radius: 25
C. Center: (3, -5); Radius: 5
D. Center: (-3, 5); Radius: 5

Answers

The answer is D.

Center is (-3, 5) and Radium is 5

Answerrrrrrrrrr: )?

Answers

Answer:

I think the answer is D

Step-by-step explanation:

HELP I NEED HELP ASAP
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A. Skewed Right
B. Uniform
C. Skewed Left
D. Normal

Answers

Skewed Right I think. I'm not sure but try it

Answer:

C. Skewed Left

Step-by-step explanation:

Because the first 2 age group have minimal runners than the next 3 age groups spikes and the last 4 are very low once again. the spike occurs relavity near the beggining so if graphed it would be skewed left.

Part A. Write the equation 5=10x−5y in slope-intercept form.

Part B. Identify the y-intercept.

Answers

Answer:

Part A: y=2x-1

Part B: -1

PART A:

slope intercept form is y=mx + b

5=10x-5y subtract 10 both sides
-10x+5=-5y divide -5 both sides
2x-1=y

slope intercept form is y=2x-1

PART B:

In slope intercept form (y=mx+b), the y intercept is always ‘b’ therefore using the new equation the y intercept= -1




increase 140 in the ratio 7:5.​

Answers

Answer:

the answer is 196

Step-by-step explanation:

Answer:

i think that the correct answer might be 196

Can some one help me with all of these if not can you help me with 3-4

Answers

Volume = lwh
1620 = 13x8xw
1520/104 = w
w=15.57 cm

Ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold.

Answers

Answer:88

Step-by-step explanation:

1.10c+2.35s=294.20

C+S=172

1.10c+2.35s=294.20 if you multiply by 100.

110c+235s=29420

-110 (cones + sundaes =172)

-110c-110s=-18920

125s/125=10500/125

S= 84

C+84=172

-84. -84

C= 88

Does (1, 10) make the inequality y < 8x + 2 true?

Answers

Answer:

This is false.  (1, 10) is not a solution of this inequality

Step-by-step explanation:

Copy down the inequality:

y < 8x + 2

Now substitute 10 for y and 1 for x:

10 < 8(1) + 2  or 10 < 8 + 2

This is false.  (1, 10) is not a solution of this inequality

Answer:

False is the answer.

Step-by-step explanation:

#I hope it help

pls help me out what up

Answers

Answer:

Answers are below

Step-by-step explanation:

29. 3(4x-5) + 4(2x+6)

Solution: 20 + 9

30. -8(2a - 3b) - 5(6b - 4a)

Solution: 4 − 6

31. 10(5g + 2h - 3) - 4(3g - 4h + 2)

Solution: 38 + 36ℎ − 38

hope this helps :) Let me know if you need any further explanations.

HELPO PLS TYSMMM
I’m bad so help lol

Answers

Answer:

no, yes, yes , no, yes

Step-by-step explanation:

Answer above me is correct

Write the equation of the line in slope intercept form that passes through the point (4,7) and is parallel to y = -7x + 8.​

Answers

Answer:

y= -7x + 35

Step-by-step explanation:

(y - 7) = -7(x - 4)

y-7 = -7x + 28

y = -7x + 35

What is the total area of each garden bed has a length of 4 feet Amelia

Answers

64 feet squared because 4 cubes

Answer:

48 ft^2.

Step-by-step explanation:

In this case, our formula is known as 3s^2 which can be written out as 3 x s x s or 3(s x s). S is the variable to represent our length and width because the formula for finding the area is l x w which can be written out as length x width. If the total area of each garden bed has a length of 4 feet, our equation would be 3(4 x 4) or 3 x 4 x 4 or 3(4)^2. 4 x 4 or 4^2 is 16. If we multiply 16 by 3, the answer would be 48. That is why the total area of each garden bed would be 48 ft^2.

plz help 50 points will give brainliest to first correct answer

Answers

Answer:

Step-by-step explanation:

BDC=95

Answer:

[tex] m\angle BDC = 95\degree [/tex]

Step-by-step explanation:

[tex] In\: \triangle ACD\: \&\:\triangle BDC[/tex]

[tex] m\angle A = m\angle B[/tex] (given)

[tex]\because m\angle A = 50\degree [/tex]

[tex]\therefore m\angle B = 50\degree [/tex]

[tex] m\angle ADC = m\angle BCD[/tex] (given)

[tex]\because m\angle ADC = 35\degree [/tex]

[tex]\therefore m\angle BCD= 35\degree [/tex]

[tex] In\: \triangle BDC[/tex]

[tex] m\angle BDC = 180\degree - (m\angle B+m\angle BCD) [/tex]

(By angle sum postulate of a triangle)

[tex] m\angle BDC = 180\degree - (50\degree +35\degree ) [/tex]

[tex] m\angle BDC = 180\degree - (50\degree +35\degree ) [/tex]

[tex] m\angle BDC = 180\degree - 85\degree [/tex]

[tex] m\angle BDC = 95\degree [/tex]

Alan used 9 as a estimate for 3 7/10+5 4/10 He added and got 9 1/10 for the actual sum.Is Alan answer reasonable?

Answers

3 7/10 + 5 4/10 = 8 11/10 = 9 1/10

so estimate = 9

actual answer = 9 1/10

yes, his answer is reasonable

brainliest or a thank you please :)) <33

Please helllppp will give lots of points!!!!




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Answers

Answer:

1. start is 1/3

2. is 1/3

3. is 1 out of 2

4. is 1 out of 6

5. is 2 out of 3

6. is 1 out of 2

7. is 5 out of 6

8. is 1 out of 6

then finished!!!

I hope this helped

HELP TIMED!!
Suppose you draw a card from a​ well-shuffled deck of 52 cards. What is the probability of drawing a 7 or a queen​?

Answers

Answer:

50%

Step-by-step explanation:

Its a deck and its suffled

Answer:

[tex]\frac{8}{52}[/tex] = 0.15384615384 = 15.38%

Step-by-step explanation:

There are 4 7s and 4 queens so

[tex]\frac{4}{52}[/tex] + [tex]\frac{4}{52}[/tex] = [tex]\frac{8}{52}[/tex]

how to factor y^2+49

Answers

This expression is not factorable with rational numbers

What is the solution for the following system of equations?

X=-y
x+x+2y=6

A. (-2,2)
B. (2,-2)
C. (6,-6)
D. (-6,6)

Answers

Answer:

No solution

Step-by-step explanation:

x = -y

2x + 2y = 6

2(-y) + 2y = 6

0 = 6

A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total receives were $2414

How many who paid were adults?

How many who paid were seniors?

Answers

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student    

6

 

Adult    

9

 

1

,

506

 

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student  

s

   

6

   

6

s

 

Adult  

3

s

5

   

9

   

9

(

3

s

5

)

 

1

,

506

 

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

5

)

=

1506

 

Step 5. Solve the equation.

6

s

+

27

s

45

=

1506

33

s

45

=

1506

33

s

=

1551

s

=

47

students

 

Substitute to find the number of adults.

3

s

5

=

 number of adults

3

(

47

)

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

6

=

282

136

9

=

1224

_____

 

1506

 

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.





5. Your gross monthly income is $4,400. What is your after-tax monthly income if 14% is deducted for taxes
each month?
A) $5016 B) $616 C) $4386 D) $3784

Answers

14%x$4,400=0.616
$4,400-0.616=$3,784

Answer is D

Answer:

$3,784

Step-by-step explanation:

If P(A) = .24 and P(B) = .52 and A and B are mutually exclusive, what is P(A or B)?
(a).1248
(b).28
(c).6352
(d).76

Answers

The Answer is D) 76

Find the measurement of the angle indicated for each trapezoid

Answers

Answer:

45

Step-by-step explanation:

What is the slope of the line given by the equation below? y + 2 = -3(x - 5)​

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Help me pleaseeeeeeeeeeeeeee

Answers

I u⁣⁣⁣ploaded t⁣⁣⁣he a⁣⁣⁣nswer t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. H⁣⁣⁣ere's l⁣⁣⁣ink:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

Exponential growth

Step-by-step explanation:

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