Mathematics High School

IF CORRECT, I WILL MARK AS BRAINLIEST
The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population in 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)

Answers

Answer 1

a)

[tex] P(t) = 19100. e^{0.06t} [/tex]

b) P(8) =30866

Use formula:

[tex] P(t) = P. e^{rt} [/tex]

a)

Here, P = 19100

r = 6% = 0.06

[tex] P(t) = 19100. e^{0.06t} [/tex]

b) t = 2008 - 2000 = 8

[tex] P(8) = 19100. e^{0.06\times 8} [/tex]

[tex] P(8) = 19100. e^{0.48} [/tex]

[tex] P(8) = 19100\times 1.616\\\\

P(8) = 30,865.6\\\\P(8) \approx 30,866[/tex]

Related Questions

7. You toss two dimes 24 times and record the results. The table shows the frequency and the experimental probability of each outcome. Suppose you tossed the dimes 120 times. How many times would you expect an outcome of "tail and tail?" *
help please

Answers

Answer:

i need this answer

Step-by-step explanation:

HELP HELP QUICK WHAT IS THIS
asa
aas
sas
not enough info?!

Answers

Answer:

Its either asa or sas but like i think is asa

Step-by-step explanation:

Answer:

the right answer is aas

Step-by-step explanation:

angle angle side because both angles are touching each other which is an easier way to tell.

i really need help plz help meeeeeeeeee

Answers

Answer:

10√2

Step-by-step explanation:

√200=√2*100=10√2

Ans.is 10√2

the topic is Surds in math

Jade normally leaves work at 5:00 pm, but she is leaving work 10 minutes late today she decides to make up time by taking the toll road instead of side streets. She
can travel two times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm she arrives home from work it
she leaves late. Let x represent the number of minutes her nomal commute takes when she leaves on time.
y-x-10
y=9x10
y = 2x + 10
y=1/2x+10

Answers

Answer:

y=1/2x+10

Step-by-step explanation:

not 100% for sure though

Need help please don’t understand

Answers

Answer:

7x+20

Step-by-step explanation:

To simplify you mainly just try and combine the terms

First step is to distribute the 2 that is in front of "(5+3x)"

the way you do this is multiply everything inside the parantheses by 2

(5•2+3x•2) = 10+6x

put that into the original equation and now we just have the easy part

10+6x+x+10

combine alike terms

6x+x=7x 10+10=20

7x+20 is that equation simplified

Answer:

7x+20

Step-by-step explanation:

2*5+2(3x)+x+10

10+2(3x)+x+10

10+6x+x+10

6x+x+20

7x+20

what is the answer to 6x+18+8x=180?

Answers

Answer:

=81/7

Step-by-step explanation:

Simplifying

6X + 18 + 8x + -2 = 180

Reorder the terms:

18 + -2 + 6X + 8x = 180

Combine like terms: 18 + -2 = 16

16 + 6X + 8x = 180

Solving

16 + 6X + 8x = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + 6X + -16 + 8x = 180 + -16

Reorder the terms:

16 + -16 + 6X + 8x = 180 + -16

Combine like terms: 16 + -16 = 0

0 + 6X + 8x = 180 + -16

6X + 8x = 180 + -16

Combine like terms: 180 + -16 = 164

6X + 8x = 164

Add '-8x' to each side of the equation.

6X + 8x + -8x = 164 + -8x

Combine like terms: 8x + -8x = 0

6X + 0 = 164 + -8x

6X = 164 + -8x

Divide each side by '6'.

X = 27.33333333 + -1.333333333x

Simplifying

X = 27.33333333 + -1.333333333x

Solve for x:

−30=5(x+1)

Answers

the answer is x = -7 !

Determine whether the relation is a function. (17. -3), (2,-2), (1, 1), (2, 2). (17,3)
C. yes
D. no
brainliest if right , please help

Answers

No no no no no no no no
No no no
No

Answer:

No

Step-by-step explanation:

The x value 2 has two y values (2, -2) so it is not a function.

PLEASE PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST FIRST PERSON TO ANSWER

Answers

The answer is A.............

Answer:

A.

Step-by-step explanation:

It shows the slope, since it's weight it's continuous.


(7.8 x 103) (1.0 x 104) = ?

Answers

Answer:

Step-by-step explanation:

(7.8*103)(1.*104)=83553.6

803.4*104=83553.6

6.3 x 10 to the power of -8

Answers

Answer:  the  answer  is  6.3e-8

Step-by-step explanation:

please help me! this is important.

Answers

i’m guessing C , shi mad confusing

PLEASE HELP WITH WHAT YOU CAN PLEASEEEEEEEE I WILL GIVE BRAINALIST TO FIRST PERSON and extra points please help

Answers

Answer:

15. y<1 16. y>or=-2 17. y>0 18. y<or=3 19. y<or=1200

Step-by-step explanation:

I’m only answering so the first person can have brainliest

I need help solving this equation
56 = 3w + 14

Answers

56 - 14 = 42

42/3 = 14

W = 14

Answer:

w = 14

Step-by-step explanation:

56 = 3w + 14

-14            -14

----------------------

42 = 3w

÷3       ÷3

----------------

14 = w

Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 10 miles at a speed of 5 mph, while Bob's motorboat traveled 24 miles at a speed of 12 mph. For how long were Niles and Bob traveling?
A.
4 hours
B.
3 hours
C.
2 hours
D.
6 hours

Answers

Answer:

2 hours

Step-by-step explanation:

10/5=2hours

24/12=2hours

Hope this helps please give brainliest

A kite is flying at a height of 60 m and is attached to a string inclined at 30° to the horizontal. What is the length of the string? (
The length of the string is 120 m.
The length of the string is about 70 m.
• The length of the string is 30 m.
The length of the string is about 104 m.

Answers

Answer: 120

Step-by-step explanation:

Because it is

Suppose s varies directly with t. When t27, s=3. What is s when t=632
Answer
567
G
7
H

Answers

Answer:

G 7

Step-by-step explanation:

If t= 27 when s=3  27/3=9

the t=63 when s= 7    63/7= 9

Answer:

G

Step-by-step explanation:

Given that s varies directly with t then the equation relating them is

s = kt ← k is the constant of variation

To find k use the condition when t = 27, s = 3 , then

3 = 27k ( divide both sides by 27 )

[tex]\frac{3}{27}[/tex] = k, that is

k = [tex]\frac{1}{9}[/tex]

s = [tex]\frac{1}{9}[/tex] t ← equation of variation

When t = 63, then

s = [tex]\frac{1}{9}[/tex] × 63 = 7 → G

Question:
Choose the equation that represents the graph below.

A. y = x - 3
B. y = -x + 3
C. y = -x - 3
D. y = x + 3​

Answers

Answer:D

D

Step-by-step explanation:

:)

Work out the mean for the data set below:

9.7 ,4.5,1.9,8,6.6

HELP ME

Answers

Answer:

6.14

Step-by-step explanation:

Someone please help! I asked earlier but they just stole the points...

(12-15) Q(x) = 2x^4 - 7x^3 + 6x^2 + x -2
1. Use synthetic division to determine whether (x-1) is a factor of Q(x).

2. Use synthetic division in to find Q(-2)

3. List all of the possible rational roots of Q(x) = 0

4. Find all of the real roots Q(x) =0

Answers

Answer:

1) [tex]Q(x)=2x^{4}-7x^{3}+6x^{2} +x-2\\\\=(x-1)^{2}(x-2)(2x+1)\\[/tex]

2) Q(-2) = (-2-1)².(-2-2).(2.-2+1)

= (-3)².(-4).(-3)

= 108

3) Q(x) = 0

=> (x-1)²(x-2)(2x+1) = 0

⇔ x - 1 = 0 or x - 2 = 0 or 2x +1 = 0

4) x-1 = 0 or x - 2 = 0 or 2x + 1 = 0

⇔ x = 1 or x = 2 or x = -1/2

Step-by-step explanation:


What is the discounted price of a $500 cell phone with a discount of
10% ?

Answers

My answer that I got was $500.00

Kaelyn has some yarn that she wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. Kaelyn wants to make 333 times as many scarves as hats and use 555 kilograms of yarn. Let hhh be the number of hats Kaelyn makes and sss be the number of scarves she makes. Which system of equations represents this situation?

Answers

Answer:

s = 3h

0.1s + 0.2h = 5

h = 10

s = 30

Step-by-step explanation:

Given that :

Hat :

0.2kg of yarn

Let Number of hats = h

Kg of yarn used for hat = 0.2 * h = 0.2h

Scarf:

0.1 kg of yarn

Number of scarves (s) = s

Kg of yarn used for scarf = 0.1 * s = 0.1s

Total kg of yarn used = 5 kg

Number of Scarf = 3 times number of hats :

s = 3h - - (1)

0.1s + 0.2h = 5 - - (2)

From 1:

0.1(3h) + 0.2h = 5

0.3h + 0.2h = 5

0.5h = 5

h = 10

s = 3h

s = 3(10) = 30

The City Council plans to install new slides at the playgrounds in all of its parks. The new slides are 14 feet long and need to be mounted at least 6 feet up on the playground structure. How far will the end of the slides be from the base of the playground structure? Round your answer to the nearest tenth. *

Answers

It should be 12.65 feet away because, if the hypotenuse is 14 and the height is 6, you would multiply 14x14 which is 196 and subtract the height (36). That gives you 160, and the square root of 160 is 12.65

Hi, anyone know this? ^^ ill give brainliest if right

Answers

Answer:

9/16

Step-by-step explanation:

3/4 x 3/4 = 9/16

chang is on his way home in his car. he has been driving 12 miles so far, which two-thirds of the way home. what is the total length of his drive?

Answers

18 miles bc:

12÷2= 6

6•3=18

Jason, Joel and John share $100.80. Joel has $3.45 more than Jason. John has three times as much money as Joel. How much does Joel have , and How much less money does Jason have than John?

Answers

Answer: 66

100.80 - (4x3.45) = 87

87/5 = 17.4

Jason - 17.4

Joel - 17.4+3.45

John - 17.4+3.45 x 4

83.4 - 17.4 = 66

The radius of circle A is half of the radius of circle B. What is the area of circle A
A) 1/2 the area of circle B
B) 1/4 the area of circle of B
C) pi/4 the area of circle of B
D)pi/2 the area of circle B
E) square root of 1/pi the area of circle B

Answers

The answer is D Explanation: I learned this already and I had this question before and I got it right

Augustsky18; you there?????
I lost my other account.
NO ONE ELSE ANSWER THIS

Answers

Hey what happened? I was worried about you.

Right answer please

Answers

B.)
Because 4x^2 has no other like term.
Then x/2+x= 3/2x
Finally, -4+-3= -7
You just combine them together to form an equation:)

Please help with this! I think it want you to calculate the answer for the entire angle! What it equals to!

Answers

Answer:

x=5

Step-by-step explanation:

i hope this helps :)

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