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
olya-2409 [2.1K]
2 years ago
8

Suppose a city with population 500,000 has been growing at a rate of ​7% per year. If this rate​ continues, find the population

of this city in 21 years?
Mathematics
1 answer:
krok68 [10]2 years ago
5 0

Answer:

2,070,281

Step-by-step explanation:

let x = number of years

let y = population

Given:

  • initial population = 500000
  • rate of increase = 7%

y = 500000 × 1.07^x

when x = 21:

y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281

You might be interested in
I don't need you to work it out, just theorem(s) i need to reach the answer :)
VikaD [51]
Not sure why such an old question is showing up on my feed...

Anyway, let x=\tan^{-1}\dfrac43 and y=\sin^{-1}\dfrac35. Then we want to find the exact value of \cos(x-y).

Use the angle difference identity:

\cos(x-y)=\cos x\cos y+\sin x\sin y

and right away we find \sin y=\dfrac35. By the Pythagorean theorem, we also find \cos y=\dfrac45. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if \tan x=\dfrac43, then (by Pythagorean theorem) \sec x=\dfrac53, so \cos x=\dfrac35. And from this, \sin x=\dfrac45.

So,

\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}
7 0
3 years ago
Seled the two inequalities shown in the system<br> (125 Points)
jeka94

Answer:

I am not smart enough for that one

Step-by-step explanation:

because I am just built the same as you all

6 0
2 years ago
Can some one help me please
Vinvika [58]

add all assets then add all liabilities

 if assets is higher she has a positive net worth of the difference

if liabilities is higher she has a negative net worth of the difference

3 0
3 years ago
Read 2 more answers
over a season in a women's basketball league jackson scored 41 more points than the second highest scorer leslie. Together they
vlabodo [156]
First, you know that Jackson (let call her J) scored 41 more points than L (Leslie).  What we don't know is how many points L scored so we can use a variable that will be 'x'.
So the equation will be J=41+x.
We also know that the total points is 1,189.
To find out what x is we first subtract 1,189-41.  We then get 1,148.
We are now left with 2x and 1,148 so we divide 1,148 by 2 and get 574.
574=x so now we can plug that in.
J= 574+41
Jackson scored 615 points and Leslie scored 574 points

(You can use bar modeling to do solve this problem.  An example of bar modeling is shown below.  

3 0
3 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x. ​
Triss [41]

Answer:

?

Step-by-step explanation:

I can't see anything attached but I know all angles of a triangle add up to 180 degrees. It probably doesn't help tho.

7 0
3 years ago
Read 2 more answers
Other questions:
  • In 2009, the world's largest pumpkin weighed 784 kilograms. An average-sized pumpkin weighs 5,000 grams. The 2009 world-record p
    13·1 answer
  • In a school, there is a ratio of 4 boys to 5 girls. If there are a total of 450 students, how many girls are there? *
    12·1 answer
  • What is 2.5 as a percent? <br> 0.25<br> 250<br> 25<br> 2.5(I think this one but idk)
    8·2 answers
  • F(x) = x5 + 5x4 - 5x3 - 25x2 + 4x + 20
    8·1 answer
  • Please help this is due in 44 minutes!
    10·1 answer
  • I need help fast thanks
    6·1 answer
  • How many pounds of bananas cost $3.75?
    7·2 answers
  • Please answer this, thank you so much
    11·1 answer
  • Find the slope and y-intercept of the graph of the equation.
    6·1 answer
  • Write the following in terms of sine theta only.<br> cotangent
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!