1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lemur [1.5K]
3 years ago
10

A city's population increases by 5% every year. If its population today is 300,000, write a function that models the population

after x years.
Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Answer:

f(x) = 300,000(1.05)^x

Step-by-step explanation:

Use the exponential growth equation:

f(x) = a(1 + r)^x

Plug in 300,000 as a, since it is the original population:

f(x) = 300,000(1 + r)^x

The city's population is growing at 5% each year, so plug in 0.05 as r:

f(x) = 300,000(1 + 0.05)^x

f(x) = 300,000(1.05)^x

So, the function for the population growth is f(x) = 300,000(1.05)^x

You might be interested in
I need answers quick thanks
Tema [17]
B :) open circle means inequality and it needs to be at least 3 so the line has to increase, meaning the arrow is going right.
8 0
2 years ago
There is a number such that four times the number plus 3 is equal to 19. Find the number
frosja888 [35]

Answer:

4

Step-by-step explanation:

We have been given that it equals 19 when added to 3 and multiplied by 4 so follow these steps:

1. set the equation 4x+3=19

2. solve for x

4x+3-3=19-3

This is used to solve for x

3. 4x=16 is found

4. if 4x=16, we divide 16/4 and get 4!

That's your answer hope it helped!

3 0
3 years ago
Read 2 more answers
How do I find the direction of the rotation and the magnitude ​
Eddi Din [679]

I dont know I would.ask the teacher

6 0
3 years ago
pleasee helpp honestly im stuck i dont know how to graph this equation. it says to graph the funcion c(x)=3x-1
ohaa [14]

first take the 3 and place it over the negative one in quadrant 2

6 0
3 years ago
Read 2 more answers
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the p
Allisa [31]

Step-by-step explanation:

Given

q + p = 2(q - p)

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

qp = 675

as equation 2.

Using equation 2,

q =  \frac{675}{p}

substitute this equation into equation 1.

\frac{675}{p}  + p = 2( \frac{675}{p}  - p) \\  \frac{675}{p}  + p =  \frac{1350}{p}  - 2p \\  \frac{675}{p}   -  \frac{1350}{p}  =  - 2p - p \\  - 3p =  -  \frac{675}{p}  \\    - 3p \times p =  - 675 \\  - 3 {p}^{2}  =  - 675 \\  {p}^{2}  =  - 675 \div  - 3 \\  {p}^{2} = 225 \\ p =  \sqrt{225}   \\  = 15

Substitute P into equation 2.

15q = 675 \\ q = 675 \div 15 \\  = 45

Therefore the woman is 45 years old while her son is 15 years old.

3 0
3 years ago
Other questions:
  • Write a cosine function for the graph?
    6·1 answer
  • A market researcher for a provider of music player accessories wants to know the proportion of customers who own cars to assess
    7·1 answer
  • Solve for A if pi-symbol=3.14 and r=3 A=PIrSquared so what is the answer?
    14·1 answer
  • -20/35 * 15/7 equal to in fraction form
    6·1 answer
  • Can somebody help me with this question
    14·1 answer
  • Of all the students who participate in the school music programs in the district, 394 students play a wind instrument. If 2/5 of
    5·2 answers
  • If u=f(x,y) where x=(e^s)(cos(t)) and y=(e^s)(sin(t)), show that (du/dx)^2 + (du/dy)^2 = (e^(-2s))((du/ds)^2+(du/dt)^2)) ...?
    5·1 answer
  • 3) (-14.2b - 97.35) + (10.9b + 12.53 + 3.5x)
    8·2 answers
  • Why do some people sleep with hair rollers
    11·1 answer
  • Original price of a pen $1.99 tax:6%
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!