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
ahrayia [7]
3 years ago
12

The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population i

n the year 2000 was 9800.
(a) Find a function that models the population t years after 2000 ( t = 0 for 2000). Your answer is P ( t ) =

(b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer)
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

P(t) = 9800(1.06)^t

P(8) = 15620

Step-by-step explanation:

For growth the equation is

y = ab^x  where a is the initial value, b = 1 plus the growth percentage, and x is the number of years

P(t) = 9800 (1+.06) ^t

P(t) = 9800(1.06)^t

from 2000 to 2008 is 8 years

P(8) = 9800(1.06)^8

15619.71113040224768

We can only have whole foxes

P(8) = 15620

You might be interested in
A cab company charges $0.25 per 1 mile as well as a flat fee of $2.25 just for taking a ride in the
vivado [14]

Answer:

y - intercept = 2.25

Step-by-step explanation:

y = mx + c

Where,

y = Total cost

x = additional cost

m = slope

c = y - intercept

y = 0.25x + 2.25

Relating with the above equation,

y - intercept = 2.25

Slope, m = 0.25

7 0
3 years ago
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
erma4kov [3.2K]

Answer:

\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

Step-by-step explanation:

Given

5 tuples implies that:

n = 5

(h,i,j,k,m) implies that:

r = 5

Required

How many 5-tuples of integers (h, i, j, k,m) are there such thatn\ge h\ge i\ge j\ge k\ge m\ge 1

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed:  This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

^{n}C_r => ^{n + 4}C_5

^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}

^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}

Expand the numerator

^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

<u><em>Solved</em></u>

6 0
3 years ago
Pls help me figure this out
hodyreva [135]

Answer:

C. \frac{27}{225}=\frac{b}{100}

Step-by-step explanation:

To find the number of black ribbons one would have subtract the amount of red ribbons from the total number of ribbons. Then one would have to express it as a proportion. Part over whole equals percent over 100. The number of black ribbons over total ribbons equals "b" over 100.

8 0
3 years ago
The equation y=ax describes the graph of a line.if the value of a is positive,the line
ahrayia [7]
If the value of a is positive, the line slopes upwards.
5 0
3 years ago
Read 2 more answers
What is the measure of (2x+94) = (8x+10)
Anna [14]
I subtract 2x  to 8x that is equal to 6x; then I subtract 10 from right to left. So 94-10 equal 84. Now you got 6x=84, divide 6 both side and you got the answer. 
 
The answer is x= 14

7 0
3 years ago
Other questions:
  • Sara wrote 524 words in her journal. Then she crossed out 56 words and added 95 new words. How many words are written in her jou
    8·1 answer
  • Beth is taking out a loan to purchase a new home. She is financing $50,000 for 25 years at an interest rate of 14.25%. What is h
    5·1 answer
  • F(1)=-1.5 <br><br> f(n+1)=f(n)+0.5 <br><br> what is f(10)?
    7·1 answer
  • a slice of bread weighs 28.349 grams. Which expression shows the weight of a slice of bread in expanded notation?
    11·2 answers
  • Estimate the median number of texts sent per day by this group of middle school students.
    11·2 answers
  • A seamstress needs to cut 15 inches pieces of ribbon from a roll of ribbon that is 9 feet in length what is the greatest number
    13·1 answer
  • Solve for m: 63 + 91 + 3m &gt; 180​
    9·2 answers
  • Sarahi has p number of pencils, if she finds 2 more and then triples her amount she still has less than Damaris
    12·1 answer
  • Help please! I need this for math to finish my test.
    12·1 answer
  • 100 POINTS
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!