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
matrenka [14]
3 years ago
5

The population of a city is growing at an average rate of 3% per year in 1990 the population was 45 000.

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0
This is an exponential growth/decay problem...

F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case:

F=I(1.03)^t  and they just want to know when F=2I so

2=1.03^t  take natural log of both sides...

ln2=t*ln1.03

t=ln2/(ln1.03)

t≈23.45

So it will take approximately 23.45 years for the population to double..

1990+23.45=2013.45

So during the year of 2013 the population will have double from its 1990 level.
You might be interested in
If 31,000 citizens died in an automobile accidents in 2015. how many died each hour
stira [4]
Work out the number of hours in  1 year:-

1 year = 365*24 = 8760

So the number dying each hour = 31,000 / 8760 = 3.54 
6 0
3 years ago
Read 2 more answers
What is the equation of this line?
QveST [7]

Answer:

y = (1/2)x - 3     Answer A is closest.  

Step-by-step explanation:

Two points on the line are (0, -3) and (4, -1).  Notice that I've intentionally chosen "nice" points whose coordinates are integers; this makes the math easier.  The point (1, -5/2) is also on the line if you want to use it, but the math's a bit more complicated.

Going from (0, -3) to (4, -1), x increases by 4 and y increases by 2.  Hence, the slope of this line is m = rise / run = 2/4, or m = 1/2.

The slope-intercept formula for the equation of a straight line is the most convenient to use here, since we can tell immediately from the graph that the y-intercept is (0, -3):

y = (1/2)x - 3

Answer A should be y = (1/2)x - 3 for improved legibility.  1 2 x is not correct as a way to express (1/2)x.

6 0
3 years ago
Read 2 more answers
What is the value of x?
Alexus [3.1K]

Answer:

x = 22.5

Step-by-step explanation:

\frac{BH}{DH}  =  \frac{HM}{HT}  \\  \frac{6}{15 + 6}  =  \frac{9}{9 + x}  \\  \frac{6}{21}  =  \frac{9}{9 + x}  \\ 6(9 + x) = 9 \times 21 \\ 54 + 6x = 189 \\ 6x = 189 - 54 \\  6x = 135 \\ x =  \frac{135}{6}  \\ x = 22.5

5 0
3 years ago
Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?
iren [92.7K]

Answer:

<u>44 fluid ounces</u> of lemonade are left.

Step-by-step explanation:

Given:

Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = 9\frac{1}{2}\ cups.

As, 1 cup = 8 fluid ounces.

So, by conversion factor:

9\frac{1}{2} \times 8

=\frac{19}{2} \times 8

=9.5\times 8=76\ fl.\ oz.

<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>

<em>Tate drinks lemonade = 32 fl. oz.</em>

Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

76-32

=44\ fl.\ oz.

Therefore, 44 fluid ounces of lemonade are left.

3 0
3 years ago
Please help me answer thi question
FinnZ [79.3K]

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )

m = \frac{3-3}{5-2} = \frac{0}{3} = 0

8 0
2 years ago
Other questions:
  • What is (-2) (3/47) mean? I’m very confused...
    13·1 answer
  • The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the tr
    14·2 answers
  • Fill in the blank
    9·1 answer
  • What is 700,000 in scientific notation
    6·1 answer
  • How can you tell if a relation is a function
    13·2 answers
  • What do i multiply to get 36.9
    14·2 answers
  • Simplify.<br> 7/8 x 1 1/3<br><br> A. 7/24<br> B. 28/24<br> C. 1 1/6<br> D. 1 7/24
    12·2 answers
  • A cliff overlooking Lanberry Lake is experiencing erosion, losing elevation at a rate of 5%
    15·1 answer
  • What is 2 multiplying by 10
    11·1 answer
  • if a shoelace drawer is 12.49 inches and a paperclip drawer is 4.579 inches about how many inches wider is the shoelace drawer t
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!