At the beginning of a population study, city had 210,000 people. Each year since, the population has grown by 5.5%. Let t be the number of years since the start of the study. Let y  be the cities population. Write an exponential function showing the relationship between y and t. 

Y=

Answers

Answer 1

Answer:

y = 210,000(1.055)^t

Step-by-step explanation:

Initial population: p = 210,000

Annual growth rate: 5.5% = 0.055

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 210,000(1 + 0.055)^t

y = 210,000(1.055)^t


Related Questions

0) Select all ordered pairs that correspond to input-output pairs of the function y = -8x + 4.
A. (2, -12)
B.
(7, -52)
C.
(-8, 4)
D.
(3, -20)

Answers

A, B, and D are the correct answers.

An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
$

Answers

Answer:

146.2

Step-by-step explanation:

30
Does the scatter plot show
a positive, negative, or no
relationship?
20
10
0
2
HELP I NEED IT ASAP

Answers

Answer:

That shows no relationship

What is the range of the function when the domain is (-2, 3, 5)?

Answers

Answer:9

Step-by-step explanation:

pleaze help me on the first 2

Answers

Answer:

1) 6:9 (9 cups of flour)

2) y = 11

Step-by-step explanation:

i did the math :)

Answer:9 cups of flour and y=11

Step-by-step explanation:

ez

Please help on number 8 I’ll give points

Answers

It’s 80 all you do is substitute the 100 for x


Which statement correctly describes the relationship of the data shown in the scatter plot?

A. The data are insufficient for correlation.
B. The data show a negative correlation.
C. The data show a positive correlation.
D.The data do not show a correlation.

Answers

Answer:

B. The data shows a negative correlation

Convert the following decimal to a fraction.
2.48

Answers

Split the number into its whole number component and decimal component:
2.48= 2 + 0.48

For the decimal component, 0.48, 0.48 is the same as 48/100:
48/100

Find the Greatest Common Factor (GCF) of
48, 100:
4

Divide both the numerator and the denominator by the GCF:
48 divided by 4/ 100 divided by 4

Simplify:
12/25

Combine the whole number component with the fraction:

2 12/25


Evaluate the expression for y = 2. Simplify your answer.

y − 12
y
=

Answers

Answer:

-10

Step-by-step explanation:

this is the answer have a great day

are the ratios 1:2 and 9:18 equivalent A.Yes. B.No

Answers

i would say they are because if you divide 9 by 9, and 9 by 18 you get 1/2

PLZZ HELP bubba biked 19 kilometers how far did he bike in miles? A mile is approximately 1.6 kilometers Round to the nearest tenth

Answers

11.8 miles............

Answer:

11.9 miles

Step-by-step explanation:

1.6 kilometers = 1 mile

19 kilometers = 1/1.6 * 19 miles

= 11.875 miles

What is the measure of angle R?

Answers

Answer:

65

Step-by-step explanation:

The inside of a triangle is 180 degrees and the other two angles are the same so 50+65+65 =180. The answer is 65

Help pls with this trigonometry question

Answers

Hope this helps. Please make me brainliest.

calculate the value of (-18) (-3)

Answers

The answer to this is 54. Hope this helps

Answer:

54

Step-by-step explanation:

You do -18 times -3 which is equal to 54. It is positive because in multiplication and division if you multiply a negative times a negative or divide a negative divided by a negative it will equal a positive.

Hope this helps!

A right triangle has legs measuring 5 feet and 12 feet. If the legs of the triangle were doubled, what would be the difference in the original and enlarged perimeters?

Answers

Answer:

[tex]30[/tex]

Step-by-step explanation:

1. Approach

First, use the Pythagorean theorem to solve for the hypotenuse of the given right triangle. Then find the perimeter by adding up the values of all the sides. The problem then has the lengths of the legs doubled. When the legs undergo a scaling factor, the hypotenuse and perimeter undergo the same scaling factor. Here, the legs are doubled, hence the hypotenuse and the perimeter are also doubled. Finally, subtract the new perimeter from the original perimeter.

2. Find the original hypotenuse

Remember the Pythagorean theorem states;

[tex]x^{2}+y^{2}=z^{2}[/tex]

Where (a) and (y) are the legs (or the sides adjacent to the right angle), and (z) is the hypotenuse or the side opposite to the right angle.

Substitute in the given value and solve,

[tex](5)^{2}+(12)^{2}=z^{2}\\\\25 + 144 = z^{2}\\\\169=z^{2}\\\\\sqrt{169}=z\\\\13=z[/tex]

3.Find the perimeter of the original triangle

To find the perimeter of a polygon, one must add up the lengths of all the sides.

[tex]5 + 12 + 13\\\\= 30[/tex]

4. Find the new perimeter

In a right triangle, when both legs undergo a scaling factor, the hypotenuse also has the same change, and the perimeter also undergoes the same change. In this case, the length of the legs is doubled, therefore, the hypotenuse and the perimeter are also doubled.

New hypotenuse; [tex]26[/tex]

New perimeter; [tex]60[/tex]

5. Find the difference

Now all that is left is to subtract the new perimeter from the original perimeter;

(New_perimeter) - (original_perimeter)

= [tex]60 - 30[/tex]

= [tex]30[/tex]

Peggy rode her bike 25 miles in 2 hours. At this rate, how far will she ride in 3 hours?

Answers

37.5 miles

divide 25 by 2, that gives you 12.5
multiply 12.5 by 3 to get 37.5

Matthew has already baked 7 cakes, and he can bake 1 cake with each additional stick of
butter he buys. How many additional sticks of butter does Matthew need in order to bake a
total of 31 cakes?

Answers

Answer:

24

Step-by-step explanation:

Find the value of angle b A: 46 B:24 C:134 D:66

Answers

Answer:

B

Step-by-step explanation:

Add 295 and 41 when you get the sum. Subtract it by 360 getting 24

Answer:

b 41 c 295. value of the angle

What is least amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? What are the dimensions of this rectangular prism?

Answers

Answer: 64=s3

Step-by-step explanation: V=s3

64=s3

find the cubic root of each side

3√ 64=s4=s

so the side of the cube is 4 cu in.

The surface area of a cube is

SA=nA

where SA

is surface area, n

is the number of faces, and A

is the area of one face.

Te area of one face (A) is s2 so

i need help again on math ):

Answers

Answer:

D. 10x-20

Step-by-step explanation:

The perimeter is just all four sides added together

(3x-2)+(3x-2)+(2x-8)+(2x-8)

add together like terms

3x+3x+2x+2x=10x

-2+-2+-8+-8=-20

write in order

10x-20

PLEASE ANSWER ASAP!! Will give brainliest!!

Answers

B!!! hope this helps <3

4. Is the binomial that represents the length of the fish tank a factor of the polynomial that
represents the volume of the fish tank after the hemispheres are installed? Support your answer
mathematically.

Answers

Answer:

Step-by-step explanation:

(8x^3-440x^2+7200x-36000)-(x^3-70+360x-1800)^2

Write an equation of the line that passes through the point (-12, 6) and is parallel to the graph of the equation y=-1/6x + 1. Explain your reasoning.

Answers

Answer:

y=-1/6x+4

Step-by-step explanation:

In order to pass that point, you have to move the line up 4 points. So you make the 1 at the end to 4.

A school’s toilets are broken. Don’t Flush Plumbing Company ™ charges $50 for a service call plus $10 per hour. Fire-in-the-Hole Plumbing™ charges $90 for a service call plus $5 per hour.
At what number of hours do both companies charge the same amount?

If the job takes 7 hours, which company charges the school the least amount of money ?

Answers

Answer:

Did you know that Aronson and Carnes-McNaughton's have the perspective on how they   study

ancient  things from the past.I agree that Aronson will agree with Carnes--McNaughton's statement because they both  said the same thing but just in different words. For example  in the book "If Stones Could Speak," it will tell what  Aronson statement was about when it comes to archaeology  and in "Profiles Of Archaeologist," it will tell you the same statement but just in different words. For example it states in the book "If Stones Could Speak," on page 56 "Marc Aronson believes that, “It is about putting aside what you think you know, what has been passed along, and being willing to trust what you yourself see and to test it rigorously.” From this quote the reader will now know what Aronson thinks when it comes to archaeology. In "Profiles Of Archaeologist." On paragraph 19 It states "Being an archaeologist means looking at the world around us in a different perspective. We live in the present as we study the past in  order to learn what  to do in the future---- on this planet and possibly other. We learn to be humanities  while at the same time we practice as scientists.  From this quote the reader can understand that both of these statements are similar but they are just reworded. In closing, This why I think that Aronson and Carnes will agree to what to what there statement was.

Step-by-step explanation:

Answer:

Part 1: At eight hours they both charge the same.

Part 2: Flush Plumbing charges the least

Step-by-step explanation:

Part 1:

Flush Plumbing Co Equation: 50 + 10 h (h = hours)

Fire-in-the-hole Plumbing: 90 + 5h (h = hours)

50 + 10h = 90 + 5h

Solve the Equation:

5h = 40

h = 8

Part 2:

Plug in 7:

Flush Plumbing: 50 + 10 x 7 = 50 + 70 = $120

Fire-in-the-hole Plumbing: 90 +5 x 7 = 90 +35 = $125

Flush plumbing chargers the least

Hope this is helpful!

would it make more sense to buy two 10 inch pizzas or one 20 inch pizza? Explain your answer in detail.

Answers

I think buying two 10 inch pizzas would make more sense because you can get different topping on each. For example where I live a 10 inch pizza is 5 dollars and a 20 inch pizza is 18 dollars so 2 10 inch pizzas would cost less as well.


Hope this helps! :)

Answer:

one 20 inch pizza

Step-by-step explanation:

radius of one 10 inch pizza is 10/2 = 5

so area of one 10 inch pizza : [tex]\pi[/tex]× [tex]5^{2}[/tex] = 25 [tex]\pi[/tex]

there are 2 ; 10 inch pizza so 25 [tex]\pi[/tex]⇒[tex]50\pi[/tex]

however 20 inch pizza radius is 10

so

[tex]10^{2}[/tex]×[tex]\pi[/tex] = 100[tex]\pi[/tex]

determine the solution to the equation.

Answers

answer : x = 25

5 x=32−7
5 x = 25
25x = 625
x=625/25
x=25

good luckkk

Please help! Giving points :)!

Answers

Answer:

C

Step-by-step explanation:

3/5 + 1/4 = 0.85

0.85 as a fraction is 17/20

So the answer is C

The graph of a proportional relationship contains the point (8,4)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.


Y= — X

Answers

Answer:

It is A I took it but I am not sure

Step-by-step explanation:

Need help!!!!!!! ASAP(10 points)

Answers

It is this -12x+1.50

the second one

Answer:

3[4 x 0.50=

Step-by-step explanation:

so you start by multiplying 4 x 0.50= 2

and next you mines 3 and 2 and get 1

Two numbers have a sum of 12 and a difference of 4. What is the smaller of the two numbers?

Answers

Answer: 8 and 4 hehe
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