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
dedylja [7]
3 years ago
6

A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rat

e.
What is the insect population at the end of week 11?

(Round to the nearest whole number.)

I NEED HELP ASAP!!!!
First correct answer gets branliest!!

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

We are told that a population of insects grows exponentially and we are given a table of data about insect population growth. We are asked to find population of insects at the end of week 11.        

The initial insect population is 20 and at the end of 1st week population increases to 30.

Let us find growth percentage of insect  population,

\text{Growth percentage}=\frac{\text{Difference}}{Actual} \cdot100

\text{Growth percentage}=\frac{\text{30-20}}{20} \cdot100

\text{Growth percentage}=\frac{\text{10}}{20} \cdot100

\text{Growth percentage}=0.5 \cdot100=50

We can see that insect population is growing at rate of 50% per week.

Now let us write an exponential function for our population.

P(w)=20(1+0.50)^{w}, where P(w) represents population at the end of w weeks.

Let us substitute w=11 in our function to find insect population at the end of 11 weeks.

P(11)=20(1+0.50)^{11}

P(11)=20(1.50)^{11}

P(11)=20\cdot 86.49755859375

P(11)=1729.951171875\approx 1730

Therefore, population of insects at the end of 11th week will be 1730.  



You might be interested in
What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?
Alexandra [31]

Answer:

The quotient of (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)

is 2x2 + 5x + 2.

Step-by-step explanation:

6 0
2 years ago
What the expression is?
Stolb23 [73]

Answer:

29

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
0.5 - (-10.5 • 5) + 40.5 I need the solution to this problem
kondor19780726 [428]
93.5 Great and write answer please brainliest and thanks

7 0
3 years ago
How to do this I don’t understand this please help
VashaNatasha [74]
I'm guessing you'd combine them. And the end equation would be

81x6y
7 0
3 years ago
essays Tina Campbell must select and answer four of five essay questions on a test. In how many ways can she do so?
babunello [35]
20 ways hope it helps
3 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me
    14·1 answer
  • Family A and Family B both have 8 people in their family. The ages of each member are listed below. Which statement is correct a
    10·1 answer
  • Employees at a company are given a three digit employee identification code. If each digit cannot be repeated, how many differen
    9·1 answer
  • Factor completely 4x2 + 25x + 6.
    8·2 answers
  • Evaluate<br>2t²-3u+ 2; t= -5, u=7<br>2t² - 3u +2=​
    12·1 answer
  • An art collector paid $7,000 for two paintings, a portrait and a landscape, at the same auction. Each painting cost $3,500.
    15·2 answers
  • A cone has a diameter of 5 inches and a height of 11 inches. Find the volume of the cone to the
    10·1 answer
  • Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 +
    7·1 answer
  • Find the probability distribution for the following function: P(x) = (x/2)+1 for x = 4, 6, and 8
    11·1 answer
  • Perform the indicated operation. Give answers in rectangular form expressing real and imaginary parts to four decimal places.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!