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
ASHA 777 [7]
3 years ago
14

a population of 140000 grows 4% per year for 16 years. How much will the population be after 16 years?

Mathematics
1 answer:
Igoryamba3 years ago
3 0
At the end of the Year 1 the population will be = 110,000 + 4% of 110,000 =P1At the end of the Year 2 the population will be=P1+ 4% of P1= 110,000 + 4% of 110,000 + 4% of (110,000 + 4% of 110,000) =  110,000 +  4% of (110,000+ 110,000 + 4% of 110,000) =  110,000 + 2*4% of 110,000 + (4%)2  of 110,000= P2At the end of the Year 3 the population will be= P2+ 4% of P2= 110,000 +2* 4% of 110,000 + (4%)2 of 110,000 + 4% of [ 110,000 +2* 4% of 110,000 + (4%)2 of 110,000] = 110,000 +2* 4% of 110,000 + (4%)2 of 110,000 + 4% of 110,000 + 2* (4%)2 of 110,000 + (4%)3 of 110,000 =110,000 +3* 4% of 110,000 +3* (4%)2 of 110,000 + (4%)3 of 110,000 =P3At the end of the Year 4 the population will be= P3+ 4% of P3=110,000 +3* 4% of 110,000 +3* (4%)2 of 110,000 + (4%)3 of 110,000 +4% of [110,000 +3* 4% of 110,000 +3* (4%)2 of 110,000 + (4%)3 of 110,000] =110,000 +4* 4% of 110,000 + 6*(4%)2 of 110,000+4* (4%)3 of 110,000+ (4%)4 of 110,000 Now if we substitute n for 110,000 and r for 4% yearly rate of increase, we can rewrite,Before Year 1, at Year 0, the population, P0= n = n(1+r)0At the end of the Year 1 the population , P1= n+rn= x(1+r)1At the end of the Year 2 the population , P2= n+2rn+r2n =n(1+2r+r2)=n(1+r)2At the end of the Year 3 the population , P3= n+3rn+2r2n+r3n=n(1+3r+3r2+r3)=x(1+r)3At the end of the Year 4 the population , P4= n+4rn+6r2n+4r3n+r4n=n(1+r)4.
.
.
.
.
.
At the end of the Year n the population , Px=n+nrx+(x-1)r2n+(x-2)r3n+...........+(x-x+2)r(x-1)x+(x-x+1)rxn=n(1+r)x.....At the end of the Year 16 the population , P16= n+16rn+15r2n+14r3n+.............+3r14n+2r15n+r16n=n(1+r)16 Thus under given condition of rate of growth, the Population P(x) at xth year will be P(x)=n(1+r)x Therefore, a population of 110,000 growing at 4% per year, in 16 years will be= 110,000(1+4/100)16= 110,000(1.04)16=206027.93702999115428132473599427≈206028

I hope this is helpful. I found the solution on the internet. Hope you have a good day and bye.
You might be interested in
You roll a 4-sided die repeatedly. On your odd-numbered rolls (1st,3rd,5th, etc.) you are victorious if you get a 4. On your eve
Sunny_sXe [5.5K]

Answer:

E (Y) = 3

Step-by-step explanation:

If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)

The probability of odd number roll will be, p(T) = \frac{1}{2}

However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the  probability of even number roll, p(U) = \frac{1}{2}

In order to  calculate: E (Y); We can say Y to be the number of times you roll.

We know that;

E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)

Let us calculate E ( Y|T ) and E ( Y|U )

Y|T ≅ geometric = \frac{1}{4}

Y|U ≅ geometric = \frac{1}{2}

also; x ≅ geometric (p)

∴ E (x) = \frac{1}{p}

⇒ \frac{Y}{T} = 4 ; also \frac{Y}{U} = 2

E (Y) = 4 × \frac{1}{2} + 2 ×

        = 2+1

E (Y) = 3

7 0
3 years ago
PLEASE HELP I’M BEING TIMED<br><br> What is the y-value of point A?<br><br> ___
USPshnik [31]

Answer:

reeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

i dont

5 0
2 years ago
Read 2 more answers
3. 3 hours worked for $12; 9 hours worked for $36
nydimaria [60]

Answer:

What do we have to solve for this?

4 0
3 years ago
Read 2 more answers
30 feet is to 40 feet as 12 feet is to 16 feet​
astraxan [27]

Answer:

I don't know what to do but

30 feet is to 40 feet is plus 10, 12 feet is to 16 feet is plus 4. I think if this wrong I am so sorry

Step-by-step explanation:

8 0
3 years ago
Simplify the following expression (-8)-(-6)
yulyashka [42]
First : -(-6) will turn into a positive 6
second: -8+6 which equals -2
7 0
3 years ago
Other questions:
  • Find the circumference of a circle with the area of 95.03 m<br><br><img src="https://tex.z-dn.net/?f=c%20%3D%202%5Cpi%20%5C%3A%2
    13·1 answer
  • Caroline bought 20 shares of stock at 10 1/2, and after 10 months the value of the stocks was 11 1/4. If Caroline were to sell a
    6·1 answer
  • Unit 1 Lesson 4 Cumulative Practice Problems
    11·1 answer
  • What is an equation of the the line that passes through the point (3,6)and is parallel to the line 4x-3y=21
    13·1 answer
  • Find the value of x.
    7·1 answer
  • Kenny uses 1/16 of syrup bottle for every scoop how many scoops has he eaten for 23/4 syrup
    12·1 answer
  • Tom and Jerry both get paid $5 per hour. Tom worked twice as many hours as Jerry. How much did they get paid altogether?
    5·2 answers
  • Is this table a function?<br> Yes<br> No
    9·1 answer
  • The ratio of red foxes to gray wolves in a national park is 3 to 7.
    11·1 answer
  • What is the greatest value? *
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!