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
Zinaida [17]
2 years ago
14

The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. what would

Mathematics
1 answer:
svlad2 [7]2 years ago
7 0

Answer:

The population in 2005 is 59,535 people.

Step-by-step explanation:

Annum means annually or yearly. We assume the rate has been consistent. To calculate percentage, take the percent in decimal form. 5% is 0.05 (like 17% is 0.17, and 50% 0.5). 5% is actually 5 hundredths of a number. Multiply this by the number you want the percentage of. 54,000*0.05=2,700. This is how much the population grows from 2003 to 2004.

There is a very common mistake people make after this, which is simply doubling that number and adding to the population. This is incorrect because if it grows 5% yearly, the yearly population CHANGES. The question would change if it were 2004 to 2005. Ask your teacher for clarification if this sounds wrong (if it is, do what I said above, the answer would be 59,400 people).

So, the population in 2004 is 54,000+2,700=56,700. Now, find 5% of the population in 2004 using the same method as before. 56,700*0.05=2,835. Add the growth to the pervious population. 56,700+2,835=59,535.

The population in 2005 is 59,535 people.

You might be interested in
A piece of copper wire which is 56cm long is bent to form a rectangle of area 171cm².find the length and the width of this recta
devlian [24]

Answer:

Length= 19cm

Width= 9cm

Step-by-step explanation:

let the length of the rectangle be L cm and its width be W cm.

Perimeter of rectangle= 56cm

2L +2W= 56

L +W= 56 ÷2

L +W= 28

L= 28 -W -----(1)

Area of rectangle= length ×width

LW= 171 -----(2)

Susbt. (1) into (2):

W(28 -W)= 171

28W -W²= 171 <em>(</em><em>expand</em><em>)</em>

W² -28W +171= 0 <em>(</em><em>bring</em><em> </em><em>everything</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>

(W -19)(W-9)= 0 <em>(</em><em>factorise</em><em>)</em>

W-19=0 or W-9=0

W= 19 or W= 9

Subst into (1):

L=28 -19 or L= 28 -9

L=9 or L= 19

Since we usually take the longer side of the rectangle to be its length, L= 19 and hence W=9.

Therefore its length is 19cm and its width is 9cm.

3 0
3 years ago
The sum of two imaginary numbers is -7-6i. If one of the numbers is -12+2i, what is the other imaginary number?​
klio [65]

Answer:

5-8i

Step-by-step explanation:

-7-6i and -12+2i

Treat it as a polynomial. We all know that i=square root of -1, but in this case, treat it as a polynomial.

-12+5=-7

2i-8i=6i

So 5-8i

4 0
3 years ago
Read 2 more answers
Which is a possible leading term for the graph shown? 2x3 –2x3 2x4 –2x4
Y_Kistochka [10]

Answer:

2x^4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What are the right choices
MA_775_DIABLO [31]

Answer:

(0.1,1.1)

Step-by-step explanation:

we have

f(x)=3^{x}

g(x)=-log(x)

Solve the system of equations by graphing

The solution is the intersection point both graphs

The solution is the point (0.081,1.093)

see the attached figure

Round to the nearest tenth ----> (0.1,1.1)

6 0
3 years ago
PLS HELP <br> 6t 4 d <br> =<br> d-9
MA_775_DIABLO [31]
124.5 hsheiwniwbwjsjeiwbw
4 0
3 years ago
Other questions:
  • Sue uses the expression (8×3,000)+(8×200)+(8×9) to help solve a multiplication problem. What is sues multiplication problem?
    8·1 answer
  • Simplify: (27)^1/3•(27)^2/3
    7·1 answer
  • How to do parcial-quotients algorithm
    7·1 answer
  • Will a fraction increase or decrease and by what percent if its numerator is increased by 20% and its denominator is increased b
    13·1 answer
  • If the zeros of a polynomial function are 3 and -4, using the Factor Theorem how would we express the factors of the function? *
    11·1 answer
  • NEED HELP! Which of the following points are in the third quadrant of the xy-plane? Check all that apply.
    7·1 answer
  • Which equation for a line with a slope of -3 and a y intercept of 4? Multiple Choice Answer: y=-4+3, y= - 3/4x+4, y=-3x+4, y= -
    7·1 answer
  • Subtracting Fractions with Unlike Denominators
    15·1 answer
  • Jessica makes $1500 a month at her job. If she saves 20% of it each month, how much savings will she have after one year? Rememb
    15·2 answers
  • A cleaning solution uses 2 cups of vinegar for every 3 quarts of water. How many cups of vinegar are needed to make a cleaning s
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!