A nature preserve worker calculates there are 6,000 deer in Sharon Woods Park. She also estimates that 75 more deer die than are born each year.
a. Write a linear function to estimate how many deer will be in the park in x years.
b. Use the linear function to predict how many deer will be in the park in 3 years.
c. In how many years will there be 5,325 deer left in Sharon Woods Park?

Answers

Answer 1

The linear equation used to represent this situation is y = -75x + 6000

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.

The linear equation is given by:

y = -75x + 6000

In 3 years:

y = -75(3) + 6000

y = 5775

For there to be 5325 deer:

5325 = -75x + 6000

x = 9 years

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Related Questions

What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?

Answers

Answer:

final balance = 24,634.02

compound interest = 19,634.02

Step-by-step explanation: not my answer

WILL GIVE BRAINLIEST!!!!

Answers

Answer:

$319

Step-by-step explanation:

Usually, sales tax is proportional to the amount of the sale, so if the sales tax is a factor of 22/16 times the original tax, then the sale amount must be 22/16 times the original item cost:

 (22/16)·$232 = $319

Greg is a novice cook trying to perfect his baked potato recipe. He decides to put
many. potatoes in the oven and invites all his friends over. Every few minutes he
takes a potato out of the oven and asks some friends to rate its taste on a scale
from 1 to 10, where 10 is excellent.
For each taste, Greg writes down the number of minutes the potato spent in the
oven, x, as well as its rating from 1 to 10, y.
The least squares regression line of this data set is:
y = 0.109x + 1.437
What rating does this line predict for a potato spending 67.11 minutes in the oven?
Round your answer to the nearest integer,

Answers

2.079 I think? I’m sorry if I’m wrong I haven’t done this in years and I just wanna help….

Help with this polynomial problem.​

Answers

Answer:

i cannt see it

Step-by-step explanation:

At the local ballpark, the team charges $5 for each ticket and expects to make $1,500 in consessions. The team must pay its players $2,200 and pay all other workers $1,500. Each fan gets a free bat that costs the team $3 per bat. How many tickets must be sold to break even?
A - 275 B - 1100. C - 2600 D - 440​

Answers

Answer:

  B - 1100 tickets

Step-by-step explanation:

Fixed costs appear to be ...

  $2,200 +1,500 = $3,700

The amount of cost that is not covered by concession income is ...

  $3,700 -1500 = $2,200 . . . . remaining cost

The contribution margin per ticket is apparently ...

  $5 -3 = $2

So, the number of tickets that must be sold to cover the remaining cost is ...

  $2200/($2/ticket) = 1100 tickets

profit = revenue minus cost.

revenue is 5 dollars a ticket plus 1400 dollars in concessions.

the cost for the players is 2000 dollars and the cost for the other workers is 1600.

each person who buys a tickets gets a free bat that costs 3 dollars each.

let x equal the number of people who buy a ticket.

revenue = 1400 + 5x.

that's the revenue from the concessions plus 5 dollars for each ticket sold.


cost = 3600 + 3x

that's 2000 for the players and 1600 for the workers and 3 dollars for each bat given away.

profit = revenue minus cost.

profit = 1400 + 5x - (3600 + 3x)

simplify to get:

profit = 1400 + 5x - 3600 - 3x.

combine like terms to get:

profit = -2200 + 2x.

to find the break even point, set profit equal to 0.

set p = 0 and the profit equation becomes:

0 = -2200 + 2x.

add 2200 to both sides of this equation to get:

2200 = 2x

divide both sides of this equation by 2 to get:

1100 = x

What is 1 + 1 I need to know.

Answers

Answer:

2

Step-by-step explanation:

please mark my answer in brainlist

Answer:

2

Step-by-step explanation:

1+1=2

A total of 180 students and 35 chaperones are going on a field trip to the Smithsonian Institution in Washington, D. C.

Write the ratio in simplest form.


the ratio of students to people on the trip ​

Answers

Answer:

36 : 43

Step-by-step explanation:

So, we have 180 : 35 + 180 in the students to people on the trip180 : 21536 : 43Therefore, the ratio of students to people is 36 : 43

Select the equation that has a = 112 as its solution.
a−114=35
a+358=434
416+a=523
a×38=214

Answers

Answer:

none

Step-by-step explanation:

a-114=35 ⇒ a= 149

a+358=434⇒ a=76

416+a=523⇒ a=107

ax38=214⇒ a=5.63

The equation that has 112 as it's solution is not existing in the options.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given are four linear equations.

Check the solution of each equation.

a - 114 = 35

Adding both sides of the equation with 114,

⇒ a = 35 + 114 = 149

a + 358 = 434

Subtracting both sides of the equation with 358,

⇒ a = 434 - 358 = 76

416 + a = 523

Subtracting both sides of the equation with 416,

a = 523 - 416 = 107

a × 38 = 214

Dividing both sides of the equation with 38,

a = 214/38 = 5.63

Hence none of the equations have 112 as it's solution.

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Find the exact value of tan 5 π .

Answers

Answer:

0.274714403

Step by step explanation:

The answer is: zero (0)

Wander for the questions

Answers

Just simply plug in the variables.
1. 7-2=5
2. 2(7)+3(2)=20
3. 2(7+2)=18
4.(7-2)^2=25


please help i only have a few minutes!!

what are the measures of 1 and 2?

Answers

Answer:

3;87

Step-by-step explanation:

Since they are complementary, they add up to 90°. This allows you to write the equation

[tex]x+(16x+39) = 90 \rightarrow 17x=90-39 \rightarrow 17x=51 x=\frac{51}{17}=3[/tex]

The second angle measures then [tex]90-3 = 87[/tex]

3.
Billy and Karen are playing a billy and Karen are playing a game. They toss a coin that can land either heads or tails and a
spinner that can land on any of 8 equal regions. If a coin is tossed and the spinner is spun,

howmany possible outcomes are there?

Answers

The number of possible outcomes for both Billy and Karen = 32 possible outcomes.

A coin has head and tail and thus;

Number of possible outcomes of a coin toss = 2

Now, for the for the spinner, since there are 8 equal regions;

The number of possible outcomes of the spinner = 8

Now, since they are playing a game;

Number of possible outcomes for Billy for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Similarly;

Number of possible outcomes for Karen for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Therefore;

Total possible outcomes for both Karen and Billy = 16 + 16 = 32 possible outcomes.

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HELPPP FAST LIKE 4 minutes left

Answers

Answer: A. 40

Step-by-step explanation:

Which expression is equivalent to \sqrt [ 3 ] { 32 x ^ { 8 } y ^ { 10 } } ?​

Answers

Answer:3x⁵

Step-by-step explanation: is equivalent to 3x⁵

Find the complex zeros of
[tex] f(x) = {x}^{3 } - 13 {x}^{2} + 59x - 87[/tex]

Answers

[tex]f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\[/tex]

[tex]\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i[/tex]

Find the greatest common factor of 6a^3b^2c^10 + 20c^10 – 8a^3b^2c^9

Answers

Answer: [tex]2c^9[/tex]

Step-by-step explanation:

I'm assuming this is the expression: [tex]6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9[/tex]

[tex]\mathrm{Factor\:}6a^3b^2c^{10}[/tex] (Expand using 2's and 3's as they are the common factor in all terms)

[tex]2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}20c^{10}[/tex] (5 needed to expand the coefficient)

[tex]2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}8a^3b^2c^9[/tex]

[tex]2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Common factors (terms that are in all expressions):

[tex]2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Simplify:

[tex]2c^9[/tex]

1) Solve 3x 8-6. Graph the solution.
A)
B)
C)
D)

Answers

Answer: negative 2 arrow to the left

Step-by-step explanation:

Help pls , I’m lost

Answers

i think maybe 2,7 Sorry if i’m wrong

7 1/4 -3 3/4= 4 1 /4 - 3/4

Answers

Answer:

7/2

Step-by-step explanation:

which of the following represents an arithmetic sequence with a common difference of -8.5?​

Answers

Answer:

C

Step-by-step explanation:

to have a common difference of -8.5, the sequence has to consistently go down by 8.5.

in the first one, y would go up by 2 every time x goes up by 1, so its not that one.

in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.

in the third one, each time it goes down by 8.5 so this is the answer.

the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.

Write all the terms of the following X+y+z​

Answers

Answer:

xyz

Step-by-step explanation:

The terms are the addends in the sum:

  x, y, z

The formula N(x) = x2 -2x + 2016 represents the number N of gang-related homicides across the country x years after 2017. According to this formula, in what year will the number of gang-related homicides be 2051?

Answers

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

1

,

2015

)

Focus:

(

1

,

8061

4

)

Axis of Symmetry:

x

=

1

Directrix:

y

=

8059

4

x

y

1

2019

0

2016

1

2015

2

2016

3

2019

Step-by-step explanation:

The number of gang-related homicides in 2051 will be 3,104.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

N(x) = x² -2x + 2016

N represents the number of gang-related homicides across the country x years after 2017.

Then the number of gang-related homicides be 2051 will be given as,

N(2051 - 2017) = (2051 - 2017)² - 2(2051 - 2017) + 2016

N(34) = 34² - 2(34) + 2016

N(34) = 1156 - 68 + 2016

N(34) = 3,104

The quantity of pack-related homicides in 2051 will be 3,104.

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A city's population is increasing at a rate of 2% per year.

If this rate of growth remains the same and the population is 2 million in the year 2014, approximately how many people will there be after 20 years?

a.)
2.02 million

b.)
2.88 million

c.)
2.14 million

d.)
2.97 million

Answers

Based on the information the number of people that will there after 20 years is: d.)  2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.)  2.97 million.

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5 cm is about 2 inch. Explain in a line graph to find out how many inch are in 50 cm.

Answers

Answer:

20 inches

Step-by-step explanation:

If that's centimeters on the x-axis and inches in the y-axis, then the slope is 2/5 and the y-intercept is 0.

[tex]y=\frac{2}{5}x[/tex]

The slope of 2/5 in this context means 2 inches per 5 centimeters. Then, either by solving the equation or by graphing the line, you can determine that there are about 20 inches in 50 centimeters.

Which of the following best describes
the slope of the line below?
• A. Positive
• B. Negative
• C. Undefined
D. Zero

Answers

Answer:

A. Positive I'm sorry if I got this wrong answer

Answer:

Please add the picture

Step-by-step explanation:

If it point upward right: positive

if it point downward: negative

If it is just a horizontal line : zero

Solve the following proportions for v V/5=13/17

Answers

Answer:

v=3 14/17,v=3.8235294117647058

Explanation:

v/5=13/17simplify the equation using cross multiplication

17v=65Divide both sides of the equation by 17

Pick me as brainliest like my answer follow me please

is 0.75 degrees Celsius a negative temperature or positive temperature

Answers

Answer:

Positive

Step-by-step explanation:

Anything below 0 is negative. 0.75 > 0

Hi, I'm going to be starting homeschooling most likely from 7th to 12th Grade mainly due to my Public School failing me miserably and C0vid. I was curious if anyone could recommend me any home-schooling programs? All I'm looking for in a home-school is one that's easy in math or one that potentially has a lot of multiple-choice questions as obviously i will be using this website a lot to help me get through the stuff i don't exactly fully understand. All replies are GREATLY appreciated, Thank you so much.

Answers

Answer:

I use connexus :)

Step-by-step explanation:

Hi this isn’t a home schooling program however khan academy was incredibly helpful for math and science for me! They have videos as well as little multiple choice problems to follow!

2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"

Answers

Answer:

125

Step-by-step explanation:

The power of 4. Powers are numbers multiplied by themselves. 5 to the fourth power is really 5x5x5x5 which equals 625

The graph show how many minutes it takes Ziah to run a certain distance in the city What is the constant of proportionality? Write your answer as a decimal

need answer in 5 minutes will give brainliest​

Answers

Answer:  1.5

Explanation:

The constant of proportionality is the same as the slope for equations of the form y = kx.

To find the value of k, we divide the y over x values.

k = y/x = 12/8 = 1.5

or

k = y/x = 6/4 = 1.5

Either way the answer is 1.5

This means Ziah ran at a rate of 1.5 city blocks per minute.

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