The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 14300. (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)

Answers

Answer 1

Answer:

P(t) = 14300e^0.07t

Step-by-step explanation:

Let :

Population as a function of years, t = P(t) ;

Growth rate, r = 7%

Estimated population on year 2000 = Initial population = 14300

The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.

P(t) = Initial population*e^rt

P(t) = 14300*e^(0.07t)

P(t) = 14300e^0.07t

Where, t = number of years after year 2000.


Related Questions

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

i think it’s the 3rd one
its the 3rd answer!!!

brainlist
Which of the following situations could be modeled by an linear function?

Question 17 options:

The number of people in a stadium is decreasing at a rate of 45% every 10 minutes


The water level of a tank doubles every day


The population of a small town grows at a rate of 2.4% each year


A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year

Answers

A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

Let’s remember what a linear function is. A linear function has a set amount of growth. In this case, it will grow two feet. The other answers are exponential functions. They aren’t growing the exact same amount each time, but a percentage.

Hope this helps!

Answer: D

Step-by-step explanation:

Find the inverse of the function 6-5x

Answers

Answer:
-x/5 + 6/5
hope this helps!

It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need

Answers

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

What’s the answer to A

Answers

Answer:60

Step-by-step explanation:

plz like

At the craft store, Franklin bought a bag of red and brown marbles. He received 33 red marbles and 67 brown marbles. What percentage of the marbles were red?

Answers

Answer:

33% of the marbles were red

WILL GIVE BRAINLIEST!! ILL GIVE LINK IF YOU NEED IT

Answers

Answer: As x increases, the slope of the graph increases.

I will Need the link

Urgent!!! thank uuuu!

Answers

Answer:

2. 0.93

3. 1.13

Step-by-step explanation:

2. 0.93

decreasing means - to the 100%

3. 1.13

increasing means + to 100%

An alternating current i in amperes in a certain circuit can be found after t seconds using i= 3 (sin 150)t , where 150 is a degree measure. Rewrite the formula in terms of sum of two angle measures.
Group of answer choices

a 3[sin (130 + 15)] t

b 3[sin (45 + 45)] t

c 3[sin (180 - 45)] t

d 3[sin (90 + 60)] t

Answers

The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t

Since the alternating current i in amperes after t seconds is i = 3(sin150)t.

We want to write 150 as the sum of two angles measures.

So, 150 = 90 + 60.

So, the current i = 3(sin150)t

i = 3[sin(90 + 60)]t

So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t

Learn more about sum of two angles here:

https://brainly.com/question/16560125

Can someone plss help me with this!!!

Answers

Answer:

10/1 or 10

Step-by-step ex planation:

The rate of change is just a fancy word for slope!

To find the slope of this line I found two points of the graph that were easy to determine.  Slope = rise/run

which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

Which of the sets of ordered pairs represents a function?

A = {(3, −5), (4, 6), (3, 9), (2, 7)}
B = {(2, 4), (−1, 4), (5, 4), (4, 4)}

a
Both A and B

b
Only B

c
Only A

d
Neither A nor B

Answers

Answer:

B

Step-by-step explanation:

A does not represent a function because the x-value of 3 appears twice, and by the defenition of a function, the x-value cannot appear twice for it to be considered a function. B could be a function because the x-values are not repeated.

Therefore the answer is B, only B is a function.

Write an equation of the line that passes through the points (3,6) and (4,9)

Answers

Answer:

y=3x-3

Step-by-step explanation:

slope = change in y/change in x

slope = 3/1 = 3

y-intercept = y value when x=0

 go 3u left, 3x3 = 9 so 9u down

 (0,-3)

slope = m = 3

y-int = b = -3

y=mx+b

y=3x-3

please help mwah

ty :)

Answers

Answer:

y-9 = -4(x+2)

Step-by-step explanation:

-

Hope that helps

Hamid has gained weight.
he now weighs 88kg, this is 10% more than his normal weight.
what is hamids normal weight?

Answers

Answer:

174.6

Step-by-step explanation:

88 kg = 194.007 - 10%

194 * 10% = 194 - 19.4 = 174.6

Aaden has a points card for a movie theater.
• He receives 20 rewards points just for signing up.
• He earns 2.5 points for each visit to the movie theater.
• He needs 40 points for a free movie ticket.
a
Write and solve an equation which can be used to determine x, the number of
visits Aaden must make to earn a free movie ticket.
What’s the awnser ?

Answers

Answer:

He needs 8

Step-by-step explanation:

40 - 20 = 20

2.5 x 8 - 20

aaden needs to visit the movies 8 more times

Answer:

8

Step-by-step explanation:

20+2.5x=40

x equal the number of visits adam need to make to earn a free movie ticket

2.5x=40-20

2.5x=20

x= 20/2.5

x=8

Find the greatest common factor of the
following monomials:
18xy^ 30xy3
NO LINKS

Answers

Answer:

Step-by-step explanation:

6xy^3

the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?

Answers

Answer:

$41.78

Step-by-step explanation:

tax is 4.5% on top of original price of 39.98

so multiplying 39.98 by 1.045 gives us 41.78

you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included

$41.78
you add the price and the sales tax to get the total amount

Find the sum.
(7y+7)+(3m−3)+(8x+8)

Thanks!

Answers

if any doubt leave a comment

Lynne walks dogs every day to earn money. The fees she charges per month are 1 dog,$40;2 dogs,$37.25 each;3 dogs,$34.50 each;4 dogs,$31.75 each. A pet store wants her to walk 8 dogs if the pattern continues, how much will Lynne charge to walk each of the 8 dogs.

Answers

Answer:

The answer is $20.75

A dog: 40$

2: $37.25

3: $34.50

4: $31.75

5: $29

6: $26.25

7: $23.50

8: $ 20.75

Step-by-step explanation:

Minus $2.75 is the pattern

Answer:

$ 59.25

Step-by-step explanation:

The given rates form an AP (Arithmetic Progression).

Let the cost of walking 1 dog be taken as the first term

and,

cost of walking 2 dogs as second term,

we notice that the price per dog is decreasing by 2.75 $ each time the number of dogs is increasing by 1.

So, it's safe to say that

In the AP:

First term is $ 40

Common difference is $ 2.75

Finding the charge to walk each of the eight dogs is like finding the 8th term of the given Series.

Formula for n-th term of a depreciating AP in terms of common difference(d) and first term(a):

[tex] \boxed{ \mathsf{a _{n} = a - (n - 1)d}}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - (8 - 1) \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 7 \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 19.25}[/tex]

[tex] \implies \mathsf{a _{8} = \underline{20.75}}[/tex]

Answer:

Hence, the charge to walk each of the eight dogs is $ 20.75

1/2-1/3x=-4 solve the equation

Answers

Answer: x=-21/2

Step-by-step explanation:

1

2

1

1

3

Answer:

x=27/2

Step-by-step explanation:

1/2-1/3x=-4

subtract 1/2 from both sides

1/2+-1/3x -1/2=-4 -1/2

Group like terms

-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2

Combine the fractions

-1/3 ⋅ x+0=-4 -1/2

Convert the integer into a fraction

-1/3 ⋅ x=-8/2 -1/2

Combine.

-1/3 ⋅ x= -9/2

Isolate the x:

-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1

1x=-9/2 ⋅ 3/-1

x= -9 ⋅ -3/2

x=27/2 as your answer

the sum of two opposite angles of a parallelogram is 140 degree . find all the angles ofa parallelogram?

Answers

Answer:

since opp. angles of a parallelogram is equal.

therefore,

let the angle be x

thus,

x+x=140

2x=140

x=70°

co interior angles are supplimentary,

thus,

x+y=180

y=180-70

y=110°

opp. angles are equal thus,

fourth angle =110°

1st angle=70

2nd angle=70

3rd angle =110°

Step-by-step explanation:

What is the domain and range .

Answers

Domain (x) Range (y)
x= infinite

Which statement is true about the function f(x)=(1/3)^x and g(x)=3^-x?
a. The function have the same graph
b. The graph of the function is not the same
c. The graph of the function is not exponential

Answers

the answer should be B

James is from Rochester. Today, he has to travel to Cannon Falls for a morning meeting and then to Austin for an afternoon meeting and then home again. Cannon Falls is 45 miles directly north of Rochester. Austin is 42 miles directly west of Rochester. There is a nice straight road from Cannon Falls to Austin. Calculate the total distance he will be driving. Round your answer to the nearest mile.
(Drawing a map may be helpful.)

Answers

Answer:

His total distance is 149 miles.

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the straight road from cannon falls to austin.  Then add that value with 42 and 45.

what is 12890 X 567 pls tell me i need these for a test

Answers

Answer:

7,308,630

Step-by-step explanation:

Calculated it.

help me please jfjfjd

Answers

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree

Select the correct answer.
Consider the formula for the slope between two coordinate points, m, shown below.
V2 — 91
m =
12 - 11
Which of the following equations is equivalent to the slope formula?
OA.
OB.
*1 =
Y2 =
m(x2 - x) + y
mly₂-4₂) + x2
12 = m(y₂ - y₂) + x1
yz = m(x2 – x1) + y2
O C.
OD
=
Reset
Next

Answers

Answer:

it's A

Step-by-step explanation:

yeah-ya ............... right?

Please help me on question 32!!!

Answers

Let angles of triangle are 2x, 3x, and 7x

We know that,

Sum of the angles=180 deg

2x+3x+7x=180

12x=180

x=180/12

x=15

Smallest angle = 2x

=2×15

=30 deg

So, measure of smallest angle is 30 degree.

Marco is five years less then twice hi sister Leah's age. Their mother is 14 years older than Marco and Leah's combined ages. If their mother is 48 years old, how old is Marco?

Answers

Answer:

Marco is 21

Step-by-step explanation:

Let the sister's age = x

Marco's age = 2*x - 5

x + 2x - 5 + 14 = 48            Combine the left side of the equation.

3x + 9 = 48                         Subtract 9 from both sides

3x = 48 - 9

3x = 39                               Divide by 3

x = 39/3

x = 13

So the sister is 13

Marco = 2x - 5 = 2*13 - 5

Marco = 21

HELPE PLEASEEE Skjjjzjdjdjjsjsjdjdjdjd

Answers

.b- 15 = -12

b = 15 - 12

b = 3

. x - 5 = 7

x = 7 + 5

x = 12

. r + 6 = 11

r = 11 - 6

r = 5

. v/15 = 15

v = 15 × 15

v = 225

Answer:

3. b = 3

5. x = 12

7. r = 5

9. v = -225

Step-by-step explanation:

3. b - 15 = -12  

To get b by itself we have to add 15 to both sides.

b = 15-12

b = 3

5. x-5 = 7

To get x by itself we have to add 5 to both sides.

x = 5+7

x = 12

7. r + 6 = 11

To get r by itself we have to subtract 6 to both sides.

r = 11-6

r = 5

9. [tex]\frac{v}{15}[/tex] = -15

To get v by itself we have to multiply [tex]\frac{v}{15}[/tex] by its opposite reciprocal which is [tex]\frac{15}{1}[/tex]

v = -15(15)

v = -225

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

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