The population of a town is 2100 and increasing at a rate of 1.3% per year, while the number of cats in the town is currently 1000 and increasing at a rate of 8% per year. Assuming this trend continues, estimate when the cat population will exceed the human population in this town.

Answers

Answer 1

Answer:

when # cats exceeds 2,313

Step-by-step explanation:

if you graph y = .013x + 2100 and y = .08 + 1000 you will see the lines intersect when the town population is 16,418 and the number of cats equals 2,313.


Related Questions

(b) Mrs. Young calculates that 5 nights will cost $1350. What is the percent error in Mrs. Young’s calculation? Round to the nearest percent. Show your work

Answers

Answer:

5 x 13,50= 6,750

Step-by-step explanation:

5,400 is the answer of the persentage. I subtracted 6,750 from 1350 and got 6,750

Cost of 5nights=1350$

Cost of 1 night:-

[tex]\\ \sf\longmapsto \dfrac{1350}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{270}{1}[/tex]

[tex]\\ \sf\longmapsto 270[/tex]

Find an equation of the line that passes through the point (23, 22) and is
parallel to 2x=3-5y

Answers

Y=mx+b

Slope is 3/1

Y-22=3(x-23)
Y-22=3x-69
+22 +22
Y=3x -47

Y=3x-47

Answer:

The equation of the line is y= -2/5x+156/5

Step-by-step explanation:

y=mx+b

m= -2/5 ( 23,22)

y-y=m(x-x¹)

y-22=-2/5(x-23)

y-22=-2/5x+46/5

+22 +22

y= -2/5x+156/5

(-2/3)+3/4 Please help

Answers

Answer:

-17\12

Step-by-step explanation:

A sailboat is 175 feet from the base of a lighthouse. If the angle of elevation to the top of the lighthouse is 23°, find the height of the lighthouse, to the nearest hundredth of a foot.

Answers

9514 1404 393

Answer:

  74.28 ft

Step-by-step explanation:

The tangent of the angle is the ratio of opposite side (lighthouse height) to adjacent side (distance from lighthouse).

  tan(23°) = height/(175 ft)

  height = (175 ft)·tan(23°) ≈ 74.28 ft

Just Some e-dgenuity i need to get done

Answers

Answer:

Check mark number

2

4

5

n/ 39 = 8/13

Please select the best answer from the choices provided.

A: n = 32
B: n = 2 2/3
C: n = 24
D: n = 63 3/8​

Answers

Answer:

24 is the correct answer

cross multiply
13n=39x8
n=312/13
n=24

Wrote a linear function f with the values f(-4)=0 and f(4)=2

Answers

Answer:

y = (1/4)x + 1

Step-by-step explanation:

The points mentioned are (-4,0) and (4,2).

We can find the slope m:

(2-0)/(4-(-4)) = 2/8 = 1/4

We now have the equation y = (1/4)x + b

Now we must find the y-intercept.

Plugging in the first point:

0 = (1/4)*(-4) + b

0 = -1 + b

1 = b

y = (1/4)x + 1

I will mark BRAINLIEST pls I need to turn this in soon !!!!!
5. Use the race times to calculate the mean time for each team. Show your work

Red:
Yellow:
Blue:

6. How do the tree teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking


7. How do the three teams rank based on median times? Explain your ranking


8. What statistic should you use if you wish to compare the spreads? Explain your answer


9. The interquartile range for the red teams race time is 5 seconds. Find the IQR for the yellow and blue teams.



10. What do the interquartile ranges (IQRs) tell you about how the teams race ? Explain your thinking.




11. Now that you’ve analyzed the data, it’s time to make a decision.who do you think will win the strict meet describe how you think each team will do, explain your reasoning.

Red:

Yellow:

Blue:

Answers

here is your answer pls check it

Answer:

5. Use the race times to calculate the mean time for each team. Show your work. (3 points: 1 point for each team)

Red

45.6

Yellow

47

Blue

42.8

6. How do the three teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking. (1 point)

From fastest to slowest the teams rank

Red

Yellow

Blue

7. How do the three teams rank based on median times? Explain your ranking. (1 point)

Based on median times the teams rank from fastest to slowest

Red and yellow tie for the first place

Blue

8. What statistic should you use if you wish to compare the spreads? Explain your reasoning. (1 point)

The interquartile range would be the best option for measuring the spread of these statistics.

Step-by-step explanation:

Sorry, this is the best I can do I need help with the rest of the questions.

2.85 tons when rounded to the nearest hundreds

Answers

Answer:

0

Step-by-step explanation:

The answer is 2.85! The hundredths place is the 5 so you would just keep it the same! If you are rounding to the tenth then it would be 2.9 since the hundredths place is greater or equal to 5!

Find the unknown of the following

Answers

Step-by-step explanation:

For 4.

4b + 2b + 3b = 180°< Sum of angles of triangle >

9b = 180°

b = 180° / 9

b = 20°

4b = 4* 20° = 80°

2b = 2* 20° = 40°

3b = 3 * 20° = 60°

For 5.

x = 64° + 45° <Exterior angle of a triangle is equal to the sum of two opposite interior angles>

x = 109°

Hope it helps :)

A group of friends ordered two pizzas, one with pepperoni and one with mushrooms and green peppers. A plain pizza costs $9. Each topping costs $1. How much did the two pizzas cost?
A.

Answers

Answer:

21$

Step-by-step explanation:

2 pizzas =18 plus 3 toppings which equals 21$

Which of the following is an appropriate line of fit for the data?
1
T
2
3
4
5
6
y
8
15
23
28
37
44
Oy= 5x + 1
y = 7x + 2
2
Oy= -62 +5
Oy= 6.52

Answers

Answer:

123idbd8dbokeofyccbdid12332

How much money will i get in 5.4 hours if i get $4 per 6 hours

Answers

Answer:

3 dollars and 60 cents

Step-by-step explanation:

Evaluate
f(x)=5x-3
f(5) =

Answers

f(x)=5x-3

use the substitution method

f(5)=(5)(5)-3

multiply the parentheses first

using: PEDMAS

P=Parentheses

E= Exponents

D=Division

M=Multiplication

A= Addition

S=Subtraction

(5)(5)=25

25-3

=22

answer:

f(5)=22

1)A student earned a grade of 80% on a math test that had 60 problems. How many
problems on this test did the student answer correctly?

Answers

Answer:

48

Step-by-step explanation:

80% = .8

60 x .8 = 48

Answer: 48

Step-by-step explanation:

80% of 60 or 80/100 x 60 = 48

Consider drawing two cards, without replacement, from a standard deck of 52 cards. That means we are drawing the first card, leaving it out, and then drawing the second card.what is the probability that both cards selected for black?

Answers

Given:

Two cards are drawn from a standard deck of 52 cards without replacement.

To find:

The probability that both cards selected for black.

Solution:

We know that,

Total number of cards = 52

Total number of red cards = 26

Total number of black cards = 26

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Probability of selecting first black card is

[tex]\text{Probability}=\dfrac{26}{52}[/tex]

[tex]\text{Probability}=\dfrac{1}{2}[/tex]

Number of remaining total cards = 52-1 = 51

Number of remaining black cards = 26-1 = 25

Probability of selecting second black card is

[tex]\text{Probability}=\dfrac{25}{51}[/tex]

So, the probability that both cards selected for black is

[tex]\text{Probability}=\dfrac{1}{2}\times \dfrac{25}{51}[/tex]

[tex]\text{Probability}=\dfrac{25}{102}[/tex]

Therefore, the required probability is [tex]\dfrac{25}{102}[/tex].

I need help with these too questions
Number 1
Number 2

Answers

Answer:

Step-by-step explanation:

-6n + 2.9 = 11

subtract 2.9 from both sides

-6n = 8.1

divide both sides by -6

n = -1.35

2/3n - 3 = 8

add 3 to both sides

2/3n = 11

multiply both sides by 3

2n = 33

divide both sides by 2

n = 16.5

hope this helps <3

Answer:

left side:

-6n = 11 - 2.9

-6n = 8.1

n = - 8.1/6

n = - 1.35

right side:

2/3 n = 8 + 3

2/3 n = 11

n = 33/2

n = 16.5

A person saving for retirement makes an initial deposit of $1,000 to a bank account earning interest at a rate of 3% per year compounded monthly, and each month she adds an additional $200 to the account For each nonnegative integer n, let An be the amount in the account at the end of n months. Find a recurrence relation relating Ak to Ak-1. Use iteration to find an explicit formula for An.

Answers

Answer:

Step-by-step explanation:

(a)

From the given information:

Let An denote the amount in the account at the end of n month

Thus,

[tex]A_o[/tex] =1000

After the first month ends, interest = [tex]=A_o \times \dfrac{3}{100} \times \dfrac{1}{12}[/tex]

= [tex]0.0025A_o[/tex]

Additional deposit = $200

Now,

[tex]A_1 = A_o + 0.0025A_o + 200[/tex]

[tex]=1.0025A_o + 200 --- eqn(1)[/tex]

Interest after 2nd month, = [tex]A_1 \times \dfrac{3}{100} \times \dfrac{1}{2}[/tex]

Additional deposit = $200

[tex]A_2 = A_1 + 0.0025A_1 + 200[/tex]

[tex]=1.0025A_1 + 200 --- eqn(2)[/tex]

Thus:

[tex]A_n = 1.0025A_{n-1} +200[/tex]

(b)

From above;

[tex]A_1 = 1.0025A_ 0+ 200[/tex]

Thus;

[tex]A _2 = 1.0025A_ 1+ 200[/tex]

[tex]A_2 = 1.0025( 1.0025A_ 0+ 200)+ 200[/tex]

[tex]A_2 = 1.0025^2A_o +200 ( 1+1.0025)[/tex]

[tex]A _3 = 1.0025A_ 2+ 200[/tex]

[tex]A _3 = 1.0025( 1.0025^2A_o +200 ( 1+1.0025))+ 200[/tex]

[tex]A _3 = 11.0025^3A_o +200 ( 1+1.0025 + 1.0025^2)[/tex]

To continuity...

[tex]A_n = 1.0025^n A_o + 200 (1+1.0025 +1.0025^2 +...+ 1.0025^{n-1} ) ---- (3)[/tex]

Thus, we have a geometric term [tex]1 + 1.0025 +1.0025^2 +...+ 1.0025^{n-1}[/tex]

where:

a = 1 (first term)

r = 1.0025>1 (common ratio)

Thus;

[tex]1 + 1.0025 +1.0025^2 +...+ 1.0025^{n-1} = \dfrac{a(r^n -1)}{r-1}[/tex]

[tex]= \dfrac{1(1.0025^n -1)}{1.0025-1}[/tex]

[tex]= 400(1.0025^n -1)[/tex]

From equation(3)

[tex]A_n = (1.0025^n \times 1000) + 80000(1.0025^n -1)[/tex]

[tex]A_n = 1.0025^n \times 81000-80000[/tex]

help me answer these questions please 15, 19 and 20 please​

Answers

Answer:

15) K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]

19) P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]

20) Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)

Step-by-step explanation:

We are to find the derivative of the questions pointed out.

15) K(t) = 5(5^(t)) - 2(3^(t))

Using implicit differentiation, we have;

K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]

19) P(w) = 2e^(w) - (2^(w))/5

P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]

20) Q(W) = 3w^(-2) + w^(-2/5) - w^(¼)

Q'(w) = -6w^(-2 - 1) + (-2/5)w^(-2/5 - 1) - ¼w^(¼ - 1)

Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)

Given the vectors u and v.

On a coordinate plane, vector u has origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).

What is u · v?

19
59
61
160

Answers

Answer:

A. 19

Step-by-step explanation:

edge 2020

The dot product of the vector u and v is 19 if option (A) is correct.

What is a vector?

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have:

On a coordinate plane, vector u has an origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).

Vector u = <(7-0, (8-0)> = <7, 8>

Siimilarly, v = <-3, 5>

u · v = (7×(-3)) + (8×5) = -21 + 40 = 19

Thus, the dot product of the vector u and v is 19 if option (A) is correct.

Learn more about the vector here:

brainly.com/question/8607618

#SPJ2

Is this correct if not correct me

Answers

yeah seems like it, but if not i’ll help you
Yuppppppppppppppp yuh

Company a charges 60$ plus 0.15 per mile company b charges 25$ per day or portion of a day .Jason has determined that it will cost him less to rent a car from company a for a weekend trip .is Jason's conclusion accurate?

Answers

Answer:

No

Step-by-step explanation:

A: C = 60 + 0.15m (C is total cost and m is no. of miles)

B: C = 25d (d is no. of days)

For a weekend trip, there are 2 days.

This means that the cost for B is 2*$25, which is $50.

It doesn't matter how many miles are driven for A because the cost will always be at least $60.

This means that B is cheaper and that Jason is inaccurate.

The elves are loading all of the toys from Santa's workshop to the sleighs. They filled 2 small sleighs and 9 big sleighs with 241 toys. Later, they filled 14 small sleighs and 13 big sleighs with 437 toys. How many toys can fit on each type of sleigh?

Answers

Answer:

2*9=18 14*13=182 18+182=200

Step-by-step explanation:

well you multiply 2 times 9 and you get 18 and then you multiply 14 times 13 and you get 182 and then you 18+182 and that will give you 382.

If PQ=12, QR=20, PS=12, and SR=20, then QS=

Answers

Answer:

QS=23.32

Step-by-step explanation:

by Pythagorean theoremh square is equal to p square + b square

so h=√12×12+20×20h=√144+400h=√544h=23.32

Buddy mark me as a brainlist

Solve the system of equations using the elimination method.
(8x +11y = 37
8x+y=7

Answers

Y-7
8/7 the. calculate m

If the total value of the coins is 36¢, what are the missing coins?

Answers

we need a better explaination

brainlist asap, please help i need to boost my grade in math ♡´・ᴗ・`♡
♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎♡︎
question: mona borrowed $6000 for college expenses. After 2 1/2 years she will have paid $750 in interest. What is the interest rate? ______

Answers

Answer:

5250

i hope this is right.

Answer:

5250

Step-by-step explanation:

person on my top got it ^

Can someone help with these two problems ?

Answers

Answer:

1. 6 cookies  2. 5/12 of the pan is left

Step-by-step explanation:

42/2=21

21(2/3)= 14

14-8=6

6 cookies were left

1/4+1/3= 3/12+4/12=7/12

5/12 of the pan is left

Answer:

1/2x42 = 21

42-21= 21x1/3= 7

21-7= 14

14-8= 6

santa got 6 cookies

Carle is cutting pieces of string that are exactly inches long. How many pieces can she cut from a ball of string that has 100 feet?

Answers

Answer:

Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet? 1 foot= 12 inches. A) 49 pieces.Oct 14, 2016

Step-by-step explanation:

Helpppppppppp meeeee ASAP

Answers

option c is the answer....

Other Questions
What is the first step in solving a proportion? A - Cross multiplyB - Divide Plsss help meeee :)) why do we need to consider the important points in making the salad?. is methane used as fule gas true or false Chapter 9 To Kill a mockingbird At the end of the chapter, why did Scout want to hear his words? Which three-dimensional shape is created when the rectangle is rotated around axis r? Technician A says that many traction control systems reduce engine torque to help the drive wheels achieve traction. Technician B says that hydraulic pressure from the electrohydraulic unit supplies brake fluid pressure to the wheel brake that is spinning during a traction control event. Which technician is correct? what is the largest lake in the world? where do your find it Who among the following lives in an igloo? EskimosKashmirisGypsiesNone of these How does the author create imagery in the poem The Red Wheelbarrow" ?so much dependsuponthe red wheelbarrowglazed in rainwaterbeside the whitechickensBy using similes and metaphorsBy using random line breaksBy describing life on the farmBy using specific colors and clear word choiced Which branch is the only branch that has the power to declare war? PLEASEEEEEEE HELPPPPPPPP!! Where were the new frontiers in WWI? When land is cleared for agriculture or home construction, small isolated sections of the original habitat may remain. Explain how this reduction in habitat size and the isolation of small sections of habitat might lead to species endangerment. how many edges does a rectangle have What does "galan" means in Swedish language Why is it a good idea to pause after reading a rhetorical question? what is the nth term for - 2, 7, 22, 43 On June 1, 2021, Emmet Property Management entered into a 2-year contract to oversee leasing and maintenance for an apartment building. The contract starts on July 1, 2021. Under the terms of the contract, Emmet will be paid a fixed fee of $54,000 per year and will receive an additional 10% of the fixed fee at the end of each year provided that building occupancy exceeds 80%. Emmet estimates a 20% chance it will exceed the occupancy threshold, and concludes the revenue recognition over time is appropriate for this contract. Assume Emmet estimates variable consideration as the most likely amount. How much revenue should Emmet recognize on this contract in 2021? Multiple Choice $27,540 $54,000 $30,750 $27,000 Please help me I need this done