The rabbit population at the city park increases by 14% per year. If there are intially 481 rabbits in the city park.

Write a model for the population (y) in terms of years (t).
y =

Find the population in 17 years.

Answers

Answer 1

Answer:

y = 0.14t + 481

Population in 17 years: 483.38

Step-by-step explanation:

y = (m) (x) + b

y = (slope) (x) + starting value


Related Questions

Help me pls I need a good grade

Answers

Answer: 226

Step-by-step explanation:

arc ZW is 180 (it is a semi Circle) and arc WX is 46 (the angle opposite the arc)

so arc ZWX is 180+46=226

Sara and Atil ate the same number of cookies for lunch. However, Sara ate half of all

the cookies that her mom gave her, and Atil ate one-third of all the cookies that his

mom gave him. If til's mom gave him 2 more cookies than Sara's mom gave to Sara,

how many cookies did each of the kids eat?

Answers

Answer:

Sarah ate 2, atil ate 2

Step-by-step explanation:

The total number of cookie Sara got = y

Atill got 2 more than Sara so his total cookies is = 2+y

Sarah ate half if hers = y/2

Atil ate 1/3 of his = 2+y/3

We have

Y/2 = 2+y/3

Then we cross multiply

3y = 2(2+y)

3y = 4 + 2y

3y - 2y = 4

Y = 4

Since y = 4,

Sara ate 4/2 cookies = 2

Then atil ate 2+4/3 = 6/3 = 2 cookies

James invests $5400 in two different accounts. The first account paid 14 %, the second account paid 6 % in interest. At the end of the first year he had earned $580 in interest. How much was in each account?

Answers

Given:

Total invested amount = $5400

Rate of interest for first account = 14%

Rate of interest for second account = 6%

Total interest after one year = $580

To find:

The amount invested in each account.

Solution:

Let the amount invested in the first account be $x, then the amount invested in the second account is $(5400-x).

Total interest = 14% of $x + 6% of $(5400-x).

[tex]580=\dfrac{14}{100}x+\dfrac{6}{100}(5400-x)[/tex]

Multiply both sides by 100.

[tex]58000=14x+6(5400-x)[/tex]

[tex]58000=14x+32400-6x[/tex]

[tex]58000-32400=8x[/tex]

[tex]25600=8x[/tex]

Divide both sides by 8.

[tex]\dfrac{25600}{8}=x[/tex]

[tex]3200=x[/tex]

Now,

[tex]5400-x=5400-3200[/tex]

[tex]5400-x=2200[/tex]

Therefore, the amount invested in first account is $3200 and the amount invested in the second account is $2200.

An expression is shown.

​ 6 n

​What is the value of the expression when n=7?

Answers

Answer:

42

Explanation:

replace n by 7 since they are equal and therefore the same thing

so 6*7=42

Helpppppppppppppppppppp

Answers

Dude stop commenting that people need real answer not a link

An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. A police expert believes the witness is 80% reliable. That is, the witness will correctly identify the color of a cab 80% of the time. If the cab is actually yellow, there is an 80% chance the witness will assert it is yellow, and if the cab is actually blue, there is an 80% chance the witness will assert it is blue. If a witness asserts the cab was blue, what is the probability that the cab actually was blue

Answers

Answer:

0.1739 = 17.39% probability that the cab actually was blue

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Witness asserts the cab is blue.

Event B: The cab is blue.

Probability of a witness assessing that a cab is blue.

20% of 95%(yellow cab, witness assesses it is blue).

80% of 5%(blue cab, witness assesses it is blue). So

[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]

Probability of being blue and the witness assessing that it is blue.

80% of 5%. So

[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]

What is the probability that the cab actually was blue?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]

0.1739 = 17.39% probability that the cab actually was blue

Samiya had 45 grams of cookies to share with the class how many kilograms of cookies does she have

Answers

Answer:

0.045 kg of cookies

Answer: 0.045

Step-by-step explanation:

What is the sum of one sixth and thrice of n​

Answers

Answer:

9

Step-by-step explanation:

6+3 is 9

Answer:

what do you mean by thrice of n?

Step-by-step explanation:

Wouldn't we need to know what n equals?

Wich number line shows the graph x<-6?


The other side of the number line is -5 and -10​

Answers

The first one is the right answer

Answer:

It is the first one

Step-by-step explanation:

Open circle is greater or less than.

Closed circle is greater than or equal to and less than or equal to.

geometry multiple choice
(will mark brainliest)

Answers

Answer:

The opposite angles of a quadrilateral inscribed in a circle are supplementary.

Step-by-step explanation:

Geometry Fact: the opposite angles in a quadrilateral inscribed in a circle are supplementary (i.e., the sum of the opposite angles is equal to 180˚.).

4/12×1/8 in simplest form​

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]

Decide which of the following quantities can be represented by a positive number and which can be represented by a negative number. Give an example of a quantity with the opposite sign in the same situation

Answers

Answer:

Step-by-step explanation:

a +

b -

c +

d -

e -

positive, Negative , Positive, Negative, Negative.

What is Number System?

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

The given sentences are

(A) Tylers puppy gained 5 pounds.

This we can take as a positive number. Because here the value is increasing. whenever we use gained means it is positive.

Tylers puppy lost 5 pounds is the negative number.

(b) The aquarium leaked two pounds of water

This we can take as a Negative number. Because here the value is decreased. whenever we use leaked means it is negative.

The aquarium added with two pounds of water is a positive.

(c) Andrew received a gift of $10.

This we can take as a positive number. Because here the value is increasing. whenever we use received means it is positive.

Andrew gifted a gift of $10.

This we can take as a Negative number. Because here the value is decreased. whenever we use gifted means it is negative.

(d) Kiran gave a gift of $10

This we can take as a Negative number. Because here the value is decreased. whenever we use gave means it is negative.

Kiran received a gift of $10 is positive.

(e) A climber descended 550 feet.

This we can take as a Negative number. Because here the value is decreased. whenever we use descended means it is negative.

Hence positive, Negative , Positive, Negative, Negative,.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Please help answer !:)
Will give brainlst!!
Have a nice day

Answers

Answer:

6) .000000947

7) 244000000

8) .076

In August an online store sold 213 graphing calculators during their back to school sale. Since then, sales have increased at a rate of 5% each month. Which function can be used to determine the monthly calculator sales sine August?

Answers

Answer:

[tex]y = 213 + 0.05x[/tex]

Step-by-step explanation:

Given

[tex]Initial = 213[/tex]

[tex]Rate = 5\%[/tex]

The equation to o this is:

[tex]y = intial +rate * weeks[/tex]

[tex]y = 213 + 0.05x[/tex]

PLEASE HELP ME W THIS

Answers

9514 1404 393

Answer:

  (b)  C = dπ

Step-by-step explanation:

The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...

  π = C/d

Rearranging to get a formula for the circumference, we have ...

  C = dπ

WILL GIVE Brainlst
ANSWER PLSS

Answers

the first one should be D.-2/3

Answer:

1. D

2. D

Step-by-step explanation:

First, find two points on the line that are EXACTLY on the dot. Count how many points the line goes down and to the side. Then put it into a slope which is rise/run or y/x

So since the two points I picked where 2 points down and 3 points to the side. Its 2/3. Also, the line is going down so its negative. Therefore, you make the slope negative. So, -2/3 is the answer.

2. In the equation, she did “1 - 17/ 1 - 20”

This is wrong because while the numerator is right, the original point was (20, 1) for the denominator. Therefore, she used y values where she should of use X-values as the equation should be

1 - 17/ 20 - 1

Help me with this please

Answers

basically this means it’s mirroring across the y axis on the opposite side

Which expression is equivalent to -8?
O-2-3
-3
9
2-3

Answers

Answer:

the answer would be c

Step-by-step explanation:

the answer would be c because its a fraction

pls help will give brainliest and only put 1 variable in it ty​

Answers

Answer:

(2/3)r=30

r=45cm

Step-by-step explanation:

When trying to find a fraction of something, multiply to get your answer:

(2/3) of r = (2/3)r

The blue ribbon can be represented by both 30cm and (2/3)r cm:

(2/3)r=30

2r=90

r=45cm

Identify the 3D shape shown below. Choose 1 answer: A Cone B Cylinder © Sphere​

Answers

Answer:

Cylinder

Step-by-step explanation:

A cone is a 3D triangle with a circular base, and a sphere is a 3D circle

Answer:

CYLIDER

Step-by-step explanation:

The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is the temperature in °F and x is the month.

x = 0 corresponds to January.

What is the average daily maximum temperature in March?

Round to the nearest tenth of a degree if needed.

Answers

Answer:

The average daily maximum temperature in March is of 61 degrees.

Step-by-step explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]

The average daily maximum temperature in March is of 61 degrees.

SHOW STEPS PLEASE...

Answers

9514 1404 393

Answer:

  (5 15/20) -(2 8/20) = 3 7/20

Step-by-step explanation:

Problems in "least common denominator" are made much easier if you are familiar with your times tables.

When you compare the denominator 4 to the denominator 20, you see that ...

  20 = 5 × 4

An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.

  [tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]

Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.

  [tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]

Then the desired difference is ...

  [tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]

Help please !! need it asap

Answers

Answer:

AB = 6

m∠F = 70°

Step-by-step explanation:

1.) This is isosceles, from the angles you can tell

2.) Angles F and D are equal, this is also a form of isosceles

180-40 = 140

140/2 = 70

PLS ANSWER QUICK, HELP AND EXPLAIN

Answers

Answer:

48 squared inches

Step-by-step explanation:

4x2x6 altogether is 48

Answer:

48 square in.

Step-by-step explanation:

2 × 6 = 12

12 × 4 = 48

so ur answer is 48 square inches

HAHA. YOU GOT IT WRONG ONYEBUCHINNAJI

WHY DID YOU EVEN PUT THIS NAME??​

Answers

Answer:

free points ty

What is 15.74 rounded to the nearest whole number?( no links or files plz will get a brainliest)

Answers

Answer:

16

Step-by-step explanation:

Edit: Lol I learned this a while ago but imagine a ladder 5 or more goes up for sure 4 or less let it rest. Meaning anything over 5 goes up to the next digit and anything lower like 4 stays on that number

Answer:

16.

15.74 is closer to 16 than 15

HELP ASAP!!

The parent function f(x)= square root of x is translated 2 units right, compressed horizontally by a factor of 21 , and reflected across the x-axis.

Answers

Answer:

Ok? what's the question

Step-by-step explanation:

Answer:

i did my best to try and find something, do any of these help? lmk

Step-by-step explanation:

I BEG FOR MY LIFE EZ PLS

{{{{{{{PICTURE PROVIDED}}}}}}}}}

Answers

Answer:

B and D

Step-by-step explanation:

This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!

A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per
year. To the nearest year, how long will it be until the value of the car is 7700 dollars?

Answers

Answer:I think 3 years

Step-by-step explanation:

sorry if im wrong

A company that manufactures tires produces a tire that has average life span of 65,000 kilometers with a standard deviation of 5,200 kilometers. The distribution of the life spans of the tire is normal. What percent of the tires last at least 60,000 kilometers ?

Answers

Answer:

=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)

= P(Z < -0.8333)

= 1 - P(Z < 0.8333)

= 1 - 0.7967

= 0.2033

=> P(X > 68500) = P(Z > (68500-65000)/3000)

= P(Z > 1.1667)

= 0.1210

=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )

= P(-1.5 < Z < 1.5)

= 0.8664

=> for P(X < x) = 0.03, for Z = -1.88

X = mean + Z*Sd = 65000 - (1.88*3000) = 59360

Step-by-step explanation:

I'm not sure if that correct , I really try my best to help

The required percent of tires last at least 60,000 kilometers is about 91%.

What is the standard deviation?

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,

To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).

This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.

To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:

P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)

Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.

Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913

Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.

Learn more about the standard deviation here:

brainly.com/question/14747159

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a) Priyanka said. I can solve the problem."d) She said, it rains in july."Q.N.7 Change the following sentences into passive to activepassive.a) The time table must revised.( active voice)b) Someone is playing crickel. passive voice)c) People speak English all over the world. (passive voiced) Who wrote it pacsive voice)e) Sit on the bench.(passive voice )Priyanka had sng a beautiful song. ( passive voice ) Select three examples of minimally processed food. canned corn broccoli cheddar pasta mini doughnuts bag of baby carrots snack cakes dried apples which of the following is a Pythagorean triple? A. 3,4,6. B. 7, 25, 26. C. 15, 21, 25. D. 9, 40, 41, Is the group of words in bold a phrase or a clause?The malleus, incus, and stapes-also called the hammer, anvil, and stirrup- that help transmit sound vibrations. hi.................. Pls answer fast!!!! Timed!!!Which of these descriptions best contrasts safety knowledge for cows and horses?A. Horses have a definite flight zone, whereas cows do not B. Cows will startle at sudden movement or noise, but horses do not. C. Cows have a definite flight zone, whereas horses do not.D. Cows have 360-degree vision, but horses do not what were two main reasons for the success of US industrialization in the early 19th century Graph a line with a slope of -3 that contains the point (4, -2). (Just tell me where to put the points please) The population of rabbits on an island is growing exponentially. In the year 2001, the population of rabbits was 2400, and by 2004 the population had grown to 2900. Predict the population of rabbits in the year 2012, to the nearest whole number. Marcie baked several pies. She used 4 cups of flour for the dough. How many pints of flour did she use?I have to turn this is Immediately please What exactly allows individuals to consume more if they specialize and trade than if they don't A student is heating a crystal of alum todetermine the hydrate formula. If she removesit from the heat before all the water has beenremoved, what will happen to the calculatedhydrate formula?A. It will not be affected by the error.B. The mole ratio will indicate less water than wasactually present.C. The mole ratio Will indicate less alum than wasactually present. Find the circumference of the semi circle 7cm Find the perimeter of the polygon with the vertices G(2, 4), H(2,3), J(2,3), and K(2, 4). When a plane lands at the local airport, it touches ground and creates an angle between the ground and the belly of the plane. What is a good estimate of the angle measurement? The OYB Company is performing an annual evaluation of two of its suppliers: X Company and the Y Company. You have collected the following information: Performance Criteria X Company Score Y Company Score Weight Product Availability 75 80 0.25 Responsive 75 80 0.10 On-time delivery 80 85 0.25 % of Delivery Correct/No Damage 90 95 0.15 Communication of Delays 95 65 0.15 Business (Info Sharing/Attitudes) 85 75 0.10 Total Score 82.5 80.75 Which statements are true? Group of answer choices If OYB designates scores of 70-90 as "Certified: meeting performance standards", both companies are "Certified" suppliers. X Company has a higher evaluation. Y Company moves to the "Preferred" category since the most important parameters, on-time delivery and product availability, are higher with Y Company. b and c only a and b only Since you started recording it on your calendar. There have been 112 sunny and 42 rainy days. What has been the rainy day to sunny day ratio? The volume of a pyramid is 47 3. The height of the pyramid is 6 meters. What is the area of its base? Sheila and Jim live in an island where they are the only two workers. Sheila can either catch 10 fish or gather 40 pounds of berries each day, and Jim can either catch 8 fish or gather 24 pounds of berries each day. Both of them work 200 days per year. At current world prices 1 fish trades for 3.5 pounds of berries. Who has the comparative advantage in producing berries Given the midpoint and one endpoint of a line segment, find the other endpoint. Endpoint: (-4,-10), midpoint: (-8,-4)