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
Natalija [7]
3 years ago
7

The native bird population in a city is decreasing at a rate of 10% per year due to industrialization of the area by humans. The

population of native birds was 14,000 before the decrease began.
Complete the recursively-defined function to describe this situation.

f(0) = ____

f(n) = f(n - 1) · 0.9 , for n ≥ 1

After 3 years, _____ birds will remain.
Mathematics
2 answers:
xxTIMURxx [149]3 years ago
6 0

Answer:

The recursively-defined function to describe this situation is:

  • f(0) = <u>14000</u>
  • f(n) = f(n - 1) · 0.9 , for n ≥ 1
  • After 3 years, <u>10206</u> birds will remain.

Step-by-step explanation:

To solve the number of birds that there will be after three years, you must recognize that the function f(0) means the number of birds at time zero, in which the birds are complete (that is, the 14,000 birds), by their part, following the equation provided below we have the following calculation:

  • f(n) = f(n-1) * 0.9

So:

  • f(1) = f(0) * 0.9 = 14000 * 0.9 = 12600
  • f(2) = f(1) * 0.9 = 12600 * 0.9 = 11340
  • <u>f(3) = f(2) * 0.9 = 11340 * 0.9 = 10206 </u>

Therefore, <u>the final number of birds after three years in decline is 10206</u>.

Anastasy [175]3 years ago
4 0

Answer:

10206 birds

Step-by-step explanation:

You might be interested in
How many 3/4s are in 6
Pepsi [2]
Hey there!
Let's first find an easier situation.
If we're saying:
How many fives are in ten?
We're doing 10 divided by 5, because we're seeing how many 5's go into 10.
It's no different here.
We will be doing 6 divided by 3/4, just as we did with our simpler situation.
Using our "keep, switch, flip" rule (keep first term, change to multiplication, take reciprocal of second term)
we get:
6 divided by 3/4
=
6 * 4/3
= 24/3
= 8 3/4's in 6.

Hope this helps!
7 0
3 years ago
A business owes $8000 on a loan. Every month, the business pays 12 of the amount remaining on the loan.
steposvetlana [31]
<span>$125 is to be paid during the 6th month.</span>
6 0
3 years ago
Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough s
Xelga [282]

Answer:

Step-by-step explanation:

Complete Question:

Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough so that the sample proportions follow a normal distribution?

a) n=600 p=0.2

b) n=20, p=0.4

if np=10 and npq=10 then  the data follows normal distribution

a) np= 120,

q= 1-0.2= 0.8

npq= 600 ×0.2×0.4 = 48

Normal distribution is appropriate and sample size is large enough

b) np= 8

q= 1-0.4= 0.6

npq= 20 × 0.4×0.6= 4.8

sample size is not large enough so normal distribution is not appropriate.

4 0
3 years ago
PLS HELP ME ASAP FOR 9) A and B (SHOW WORK!!) + LOTS OF POINTS!
statuscvo [17]
A.. 9.5*3.6=34.2 then 34.2/5.7= 6 so 6 is your answer

B. 16.2*5.7= 92.34 then 92.34/3.6= 25.65
4 0
3 years ago
Read 2 more answers
30 points Someone help im very confused.
Alchen [17]

Answer:

y=cotx

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • I want to know the equation of the line
    6·1 answer
  • The sum of two numbers(x and y) decreased by 76 is 38.
    7·1 answer
  • Simplify the expression using the following values:<br> w=−4; v=5; u=2<br> 4w² − v + 3u
    11·1 answer
  • Write a rule for the function please!!!
    9·1 answer
  • the population of a city grows 7% each year. if it’s current population is 450,000, in how many years will the city’s popular ge
    13·1 answer
  • Janel has $250 in her bank account and is earning $75 a week babysitting the annoying neighbor kids. April has $720 in her bank
    14·1 answer
  • Solve the following system of equations algebraic<br> y=x^2+3x-29<br> y=2x-9
    8·1 answer
  • I WILL AWARD BRAINLIEST TO THE FIRST PERSON TO ANSWER HONESTLY
    10·1 answer
  • Someone answers this I’ll give you brainliest and your earning a lot of points.
    11·1 answer
  • DUE TODAY: PLEASE HELP
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!