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
Vlad1618 [11]
2 years ago
6

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 19100.
(a) Find a function that models the population t years after 2000(t=0 for 2000).
Hint: Use an exponential function with base e.
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:
riadik2000 [5.3K]2 years ago
6 0

Answer

a)

P(t) = 19100. e^{0.06t}

b) P(8) =30866

Step-by-step explanation

Use formula:

P(t) = P. e^{rt}

a)

Here, P = 19100

r = 6% = 0.06

P(t) = 19100. e^{0.06t}

b) t = 2008 - 2000 = 8

P(8) = 19100. e^{0.06\times 8}

P(8) = 19100. e^{0.48}

P(8) = 19100\times 1.616\\\\P(8) = 30,865.6\\\\P(8) \approx 30,866

You might be interested in
Factor completly x^2 -64
Hoochie [10]

∑ Hey, jillianwagler ⊃

Answer:

\left(x+8\right)\left(x-8\right)

Step-by-step explanation:

<u><em>⇒ Given info:</em></u>

<em>Factor completely </em>x^2 -64

<u><em>⇒ Solution:</em></u>

<em>Rewrite 64 as 8 ² because 8² is equal to 64. 8 ² = 8 × 8 = 64.</em>

<em />=x^2-8^2

Applying difference of two squares formula: x^2-y^2=\left(x+y\right)\left(x-y\right)

=x^2-8^2=\left(x+8\right)\left(x-8\right)\\

=\left(x+8\right)\left(x-8\right)

Answer~: \left(x+8\right)\left(x-8\right)

<u><em>xcookiex12</em></u>

<em>8/19/2022</em>

7 0
2 years ago
PLEASE CAN SOMEONE HELPPP
NikAS [45]

Answer:

second option

Step-by-step explanation:

The perimeter P is the sum of the 3 sides, then

P = 4x² + 3 + 2x - 5 + x + 11 ← collect like terms

= 4x² + 3x + 9

4 0
3 years ago
Derek makes $8ban hour. Last week his paycheck was $280, before taxes. How many hours did he work last week?
Ber [7]

Answer:

35 hours that week

Step-by-step explanation:

280÷8=35

35 hours that week

3 0
3 years ago
Read 2 more answers
I dont know how to make 0.3 as a fraction and then simplify.
Lapatulllka [165]
0.3 is 3/10, (which is already simplified) because .3 is out of 1.  Which means that that 1 is 10.  Which is 3/10.
7 0
3 years ago
Read 2 more answers
On what interval is the function f(x) = -1272 +452 - 54 decreasing?​
vova2212 [387]

Answer:

mume le land mujhe chod na mat sekha

Step-by-step explanation:

laude ke bal

3 0
2 years ago
Other questions:
  • a jar of natural peanut butter normally costs $4.00.Today it's on sale for 3.60. What is the percentage of this discount?
    10·1 answer
  • What is 7.7 1in a mixed number
    5·2 answers
  • Which of the following correctly expresses the number in scientific notation 645,000,000
    5·1 answer
  • In ΔEFG, the measure of ∠G=90°, FG = 2.3 feet, and EF = 6.4 feet. Find the measure of ∠F to the nearest degree.
    13·1 answer
  • Sweet tea has two orange picks for every green pig if six of the pics are green how many pics are orange
    8·1 answer
  • Find the equation of the line passing<br> through the points (2, 1) and (5, 10).<br> y = [? ]x + ( )
    11·1 answer
  • Which expressions are equivalent to the expression (x-y) 5/8-1/4x+y ?
    6·1 answer
  • Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.
    5·1 answer
  • What is the slope of the line passing through the two points (8,3) and (8,6)
    5·2 answers
  • Which of the following is a non-prime factor of 70?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!