The rabbit population in Scott County, which is currently at 2,900 rabbits, is increasing by
10% each year. How many rabbits will there be in 8 years?
If necessary, round your answer to the nearest whole number.

Answers

Answer 1

Answer:

6216

Step-by-step explanation:

This problem deals with exponential growth.

Final value: F

Present (initial) value: P

Rate of growth: r

Time in years = t

[tex] F = P(1 + r)^t [/tex]

[tex] F = 2900(1 + 0.1)^8 [/tex]

[tex] F = 6216 [/tex]

Answer: 6216


Related Questions

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

Answers

Answer:

The total number of fish caught was 42

Step-by-step explanation:

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A map is placed on a coordinate grid. on the map, city 1 is located at (35,78) and city 2 is located at the point (47,122). If each unit is equivalent to 1 mile, how far apart are the cities?

A. (82,100)
B. (41,100)
C. (6,22)
D. (12,44)

Answers

Answer:

D

Step-by-step explanation:

Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.

To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.

Keep in mind that these points are only roughly placed on the map.

But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.

To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.

47 - 35 = 12

To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.

122 - 78 = 44

I assume that the answer you should pick is D. (12, 44)

However, that doesn't exactly answer the question... it's worded a little weirdly.

To solve the rest of the equation, do the following:

Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.

a^2 + b^2 = c^2

12^2 + 44^2 = c^2

144 + 1936 = c^2

2080 = c^2

c = [tex]\sqrt{2080}[/tex]

c = 45.61

The answer is 45.61 units.

Please answer the five math questions. No links

Answers

Answer:

1. sin and cos  2. complementary  3. sinA = cosB  4. 80°  5. 17

Step-by-step explanation:

1. cofunctions: having the same value at complementary angles

sin θ = cos (90 - θ), or  cos θ = sin(90 - θ)

2. complementary: two angles sum to 90°, supplementary: two angles sum to 180°

one of the angle in a right triangle must be a right angle = 90°

180°(sum of angles of a triangle) - 90° = 90°(the sum of the other two angles) => which is complementary

3. sinA = cosB

4. cos θ = sin(90 - θ)

=> cos 10° = sin(90 - 10°)

=> cos 10° = sin(80°)

5. sin θ = cos (90 - θ)

=> sin 73° = cos (90 - 73°)

=> sin 73° = cos (17°)

A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. 6 ft Show your work. K к 8 ft Solution:​

Answers

Answer:

73.12 ft²

Step-by-step explanation:

area = (8 x 6) + [(1/2)(3.14)(4²)] = 73.12 ft²

giving brainliest! show some work too tysm !

Answers

Answer:

the third choice is the answer.

Step-by-step explanation:

the chance of recieve a blue pen

= 0.008

the chance of recieve a blue tote bag

= 0.04

0.008 < 0.04

h (t) = -16t^2 + 144

Answers

Answer:

-16 (t+3) (t-3)

Step-by-step explanation:

4. White Mountain National Forest covers more than 780,000 acres. One-seventh of the forest is reserved as
wilderness. Approximately how many acres are in the wilderness area?
A. 400,000
B. 320,000
C. 260,000
D. 110,000

Answers

Answer:

D.

Step-by-step explanation:

If you trying to find 1/7 of a number, divide by 7.

780,000/7 = 111428

It says approximately so it won't be the exact answer

The Munn Sugar Processing Plant is able to process 10 tons of sugar
per month. Assuming that this process stays steady, is this example
linear or exponential?

Answers

Answer:

Its Linear

Step-by-step explanation:

Linear!

The value of the computer decreases 7% every month. What is the
multiplier?

a) 7
b) 1.07
c) 0.93
d) 0.7

Answers

Pretty sure the answer is A

HELP ASAP!!!!!! AND NO LINKS!!! The Utah Bees discounts tickets 30% for students 14 or younger. If adult tickets cost $23, how much will a student ticket cost after being discounted? Round to the nearest cent if necessary.

Answers

Answer:

$6.90

Step-by-step explanation:

30/100 = x/23

100x = 690

x= $6.90

PLZZZ HELP ITS DUE AT 1:45

Answers

Answer:

a= 10 b= -13 c= -3

Step-by-step explanation:

First, you multiply 5x+1 and 2x-3

You then end up with 10x^2-13x-3 which is in ax^2+bx+c form

So, a would be 10, b would be -13, and c would be -3.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x = 112

Step-by-step explanation:

1/8x + 2 = 16

Subtract 2 from both sides

1/8x = 14

Multiply both sides by 8

x = 112

I need help : (((((((

Answers

the answer is x=-1/3

please help!!
thank you !!​

Answers

Remember, triangles add up to 180 degrees.

180-(96+67)=17.

A is 17 degrees.

Hope this helped!

A park has a large pond and a small pond as shown.
large pond
small pond
• Each pond is in the shape of a circle.
• The radius of the large pond is 4 times the radius of the small pond.
Based on this information, which of the following statements is TRUE?
O A The area of the large pond is 16 times the area of the small pond.
OB. The area of the large pond is 4 times the area of the small pond.
C. The area of the large pond is 2 times the area of the small pond.
Type here to search
O
RI

Answers

Answer:

A The area of the large pond is 16 times the area of the small pond.

Step-by-step explanation:

Small pond for theradius to

statements.

In this case

•- A : 41T -7 you can I'm using 2.

Large Pond '

A- = ITCH.

2)Z pi . (t)

"

a- it 82 530 Divide

A = 64 IT we are looking

for " how many

times

larger.

"

A wooden cabinet is in the shape of a rectangular prism. Its base area and height are 10/12m2 and 2/3m, respectively. What volume does the cabinet occupy? A. 5/9m3 B. 1 4/5m3 C. 4/5m3 D. 1/3m3

Answers

Answer:

A

Step-by-step explanation:

yan po ang sagot ko sana po makatulong

Answer is you know the correct answer. G o o g l e forms!

Answers

Step-by-step explanation:

I think

volume = area of the base × the height

[1/2×(2+2)×6] × 8

= 1/2×24×8

= 24×4

= 96 ft³

Answer:

180 ft³

Step-by-step explanation:

Total volume = base rectangular prism + top triangular prism

v = 6 * 8 * 2 + 1/2 (6 * 8 * (5.5 - 2))

v = 96 + 84 = 180

PLS HELP URGENT AND EASY (FIND AREA)

Answers

Answer:

72.26 cm²

total area = 145.49 cm²

small tri = 12.99cm²

large tri = 23.38 cm²

so shaded area = 145.49 -(2x12.99)-(2x23.88)=72.26cm²

PLEASE HELP I WILL GAVE BRAINIEST. How much people scored at least four goals?

Answers

The answer is 4!!!!!!

Brainiest be marked, if the answer is correct!!!! Please help!!!

Answers

Answer:

f(-3) = 6

Step-by-step explanation:

This question asks one to evaluate the function (f) for input (-3). It is known that the x-axis represents the input, while the y-axis represents the output. Therefore, find (-3) on the x-axis, and then see where the graph of the line is when it meets the value (-3), this value will be the output. In this case, the output is (6).

a 15 foot ladder leans against a wall and makes an angle of 65 degrees with the ground. what is the horizontal distance from the wall to the base of the ladder o the nearest tenth of a foot

Answers

Answer: 6.3

Step-by-step explanation:

Can someone help me find the missing side and round to the nearest tenth please

Answers

Answer:

7.7

Step-by-step explanation:

SOH CAH TOA(tangent = opposite side/adjacent side)

tan (55°) = 11/x

=> x = 11/tan (55°)

=> x ≈ 7.7

simplify
rewrite the expression in the form a^n

Answers

this is the answer: a^8

Which graph represent it Y=-2x+1 y=-2x^+1

Answers

i don’t see a foto

Explanation:

Answer:

theres no graph my dude. consider re-uploading your question

A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr

Answers

The average speed of the car for the given distance is 91.97 km/hr.

What is speed and velocity?

While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.

Given that, a car started 35 minutes later that is it started after:

35 minutes = 35/60 = 0.5833 hours

Now the distance is given as:

distance = speed x time

Now, for speed = 65 km/hr:

distance = 65t

For the car the time is (t - 0.5833) thus:

distance = speed x time

130 = speed x (t - 0.5833)

Now for speed we have:

30 = s x (t - 0.5833)

130 = st - 0.5833s

130 + 0.5833s = st

130/s + 0.5833 = t

Now, substituting the value of t in the equation of the van we have:

distance = 65t

distance = 65(130/s + 0.5833)

130/s + 0.5833 = distance/65

130/s + 0.5833 = distance/65

130/s + 0.5833 = 130/65

130/s + 0.5833 = 2

s = 91.97km/hr

Hence, the average speed of the car for the given distance is 91.97 km/hr.

Learn more about speed here:

https://brainly.com/question/28224010

#SPJ1

Ethan volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday 359 people went to The Youth Wing, 440 people went to Social Issues, and 417 went to Fiction and Literature. On Sunday, the library had 900 total visitors. Based on what Ethan had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.​

Answers

Answer:

326

359 + 440 + 417 = 1216

(440/1216) × 900 = 326

Answer:

258

Step-by-step explanation:

i got the answer wrong so it told me the answer was 258

Lena has $87.39 in her bank account. She deposits $5.25 on Wednesday. On Friday she withdraws $15.
What is the balance in her account? $
Do not include any symbols or words with your answer

Answers

87.39 + 5.25 - 15

$77.64

A casserole recipe calls for 8 ounces of cheese. Adrian wants to use 1/2 of the amount of cheese in his casseroles.

How many pounds of cheese does he need to make 22 casseroles with his revised recipe?

Answers

Answer:

88 Ounces

Step-by-step explanation:

1/2 of 8 is 4. 22 times 4 is 88.

A loaded truck travels 14 km in 25 minutes. If the speed
remains the same, how far can it travel in 5 hours?

Answers

Answer:

Given that truck covers 14km in 25 minutes. Answer: In 5 hours distance travelled = 5(60)(14)/25 = 168 km.

Step-by-step explanation:

brainliest?

Aneeta bought 3 3/4 kg apples and 4 1/2 kg guava. What is the total weight of fruits purchased by her?​

Answers

Answer:

8.25 kg

Step-by-step explanation:

Given that,

Weight of Apples = 3 3/4 kg

Weight of guava = 4 1/2 kg

Total weight of fruits = weight of apples + weight of guava

[tex]=3\dfrac{3}{4}+4\dfrac{1}{2}\\\\=\dfrac{15}{4}+\dfrac{9}{2}\\\\=8.25\ kg[/tex]

So, the total weight is equal to 8.25 kg.

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