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
kherson [118]
3 years ago
15

A population of fish in a lake is 14000 in 2010. The population decreases 6% annually. What is the population in 2019

Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0

Answer:

8022.

Step-by-step explanation:

Let x be the number of years after 2010.

We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.

We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.

Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For decrease or decay b is in form (1-r) where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

6\5=\frac{6}{100}=0.06

Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:

y=14,000*(1-0.06)^x

y=14,000*(0.94)^x

Let us find x by subtracting 2010 from 2019.

x=2019-2010=9

Upon substituting x=9 in our function we will get,

y=14,000*(0.94)^9

y=14,000*0.5729948022286167

y=8021.927\approx 8022

Therefore, the population of fish in 2019 will be 8022.

You might be interested in
How many elements are in the set {A,B,C}?
Andrew [12]
Three I think. Might be wrong
7 0
3 years ago
Read 2 more answers
The area of a square pond is 1000m2.A path of uniform width is surrounded outside the pond and its area is 369m2.find the outer
Romashka-Z-Leto [24]

Answer:

631 m²

Step-by-step explanation:

Outer length of park = Total area - Area of pond

Outer length of park = 1000 - 369

Outer length of park = 631 m²

3 0
2 years ago
Read 2 more answers
Find the perimeter of the image below
Naily [24]

Answer:

46

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
500.000.000 written in scientific notation?​
Natali [406]

\large \mathfrak{Answer : }

Scientific notation for above vLue is :

  • 5 \times 10 {}^{8}

8 0
3 years ago
Graph the functions to find The solution. <br><br> f(x)=x^2 - 2<br> g(x)= 2x + 1
larisa [96]

Answer: Look at the picture ⬇️

5 0
2 years ago
Other questions:
  • Distributive property of 5 x (3+4)
    10·2 answers
  • Convert 7.4 cm?into mm?.
    8·1 answer
  • six people went into the woods to look for truffles. on average they collected 7 truffles per person. the average of the first f
    9·2 answers
  • Solve for x.
    8·1 answer
  • 15 - (-7) = ?? Please help if you know the answer can you maybe show work or explane how you got the answer thank you :)
    14·1 answer
  • The distance AB rounded to the nearest tenth<br> (-2, 1) and (1,-1)
    6·2 answers
  • 7. Given b= 4, c = 10, and A = 34 degrees, use the Law of Cosines to solve for a. Round your answer to the nearest whole number.
    11·1 answer
  • I just need the answer to this !!
    11·1 answer
  • Can anyone help me please
    9·1 answer
  • 1/2 (89-18) = -57<br> g=
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!