# 1. Suppose that the population of rabbits increases by 1.5 times a month. When the initial population is 100, what is the approximate integer population after a year? The population after n months is given by 100 x 1.5n

50,917 results
1. ## math

The population of a colony of rabbits grows exponentially. The colony begins with 5 rabbits; 5 years later there are 310 rabbits. (a) Express the population of the colony of rabbits, P , as a function of time, t , in years. (b) Use the graph to estimate

2. ## Biology

if the surface area of a cell that is shaped like a cube increases 100 times, it’s volume increases about… A. 5 times B. 10 times C. 100 times D. 1000 times.

3. ## Science

Multiplying Rabbits Suppose that a pair of rabbits produces six offsrping: 3 males and 3 females. Assumes that no offspring die. 1. If each pair of rabbits breeds only once, how many offspring would be produced each year for 5 generations? 2. Construct a

4. ## Math

Suppose a population of 160 crickets doubles in size every month. The function F(X)= 160 * 2^X gives the population after x months. How many crickets will there be after 2 years? A.)2,684,354,560 crickets B.)640 crickets C.)7,680 crickets D.)655,360

5. ## Colelge Math (Fibonacci)

"Start with a pair of rabbits, (one male and one female) born on January 1. Assume that all months are of equal length and that : 1. rabbits begin to produce young two months after their own birth; 2. after reaching the age of two months, each pair

6. ## math

suppose the population of a town increases by 3% each year. the population of the town today is 25,000. use compound interest table to find its population ten years from now. (must give the answer to the nearest thousand)

7. ## Algebra

Suppose a population of 160 crickets doubles in size every month. The function gives the population after x months. How many crickets will there be after 2 years? (1 point)2,684,354,560 crickets 640 crickets 7,680 crickets 655,360 crickets

8. ## Algebra

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2272 bacteria in five hours. Find the hourly growth

9. ## ms sue?

Suppose that in a population of shoppers, the proportion of people who had visited supermarket A last month is 0.22. Also that in the same population, the proportion of people who had visited supermarket B last month is 0.46. The proportion of shoppers who

10. ## math

The population of a bacteria culture increases at the rate of 3 times the square root of the present population. A. Model the population P = P(t) of the bacteria population with a differential equation. B. Solve the differential equation that models the

11. ## math

The amount collected per month from a consumer of electrical power consists of two parts- a fixed charge for providing the service and a variable charge which is directly proportional to the number of units of power consumed. An amount of Rs. 700 is

12. ## algebra

the number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model at a relative rate of 6% per hour. suppose that a sample culture has an initial population of 94 bacteria. find the predicted

13. ## Algebra-Problems

Please help with my word problems? Solve the problem. The rabbit population in a forest area grows at the rate of 6% monthly. If there are 260 rabbits in April, find how many rabbits (rounded to the nearest whole number) should be expected by next April.

14. ## algebra

a population doubles every month a-initial population 20, what is function that represents poulation with respect to time b-how many present after 1 year and 5 years c-when will there be 10,000

15. ## Calculus

A population of rabbits starts off at time = 0 with 225 rabbits and increases at a rate of r(t) rabbits per month, where t is in months. A. What does the expression (24 integral 36)r(t)dt represent? B. What does the expression 225 + (0 integral 18) r(t)dt

16. ## algebra

lenny anf george started with 2 rabbits and each month the number of rabbits doubled since each pair of rabbits produced another pair of rabbits. what is an eqaution for this situation ? Lenny and george now have 30 million rabbits. how many month have

17. ## Math

At the fair, the chicken and the rabbits were placed under the same tent. The chickens and the rabbits have a total of 360 legs. If there were 105 animals, how many were rabbits?

18. ## math

Suppose that the population of a town is described by P=0.16t^2+7.2t+100, where P is the population in thousands and t is the time in years, ( with t=o representing the year 2000). A. what will the population be in 2010? B. what was the population in 1995?

19. ## Algebra

The number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 11% per hour. An initial sample is obtained from this population, and after four hours, the sample has grown to 4130 bacteria. Find the

20. ## math

The growth rate of a population of rabbits in a forest preserve is modeled by the logistic equation dp/dt =0.005p(300-0) . What is the rate of change in the rabbit population when it is growing the fastest?

21. ## microeconomics

1. Suppose that an increase in the price of carrots from \$1.20 to \$1.40 per pound raises the amount of carrots that carrot farmers produce from 1.2 million pounds to 1.6 million pounds. Using the midpoint method, what would be the elasticity of supply? a.

22. ## math

The population of a town increases at the rate of 40 per thousand. Its population after 2 years will be 6084. Find its present population

23. ## Math

The population of town A increases from 1,346 to 1,500. In the same period, the population of town B increases from 1,546 to 1,800. a. Find the percent of increase in population for town A and for town B. b. Which town had the greater percent of increase?

24. ## Mico- Econ-- Help

Suppose that in a month the price of oranges increases from \$.75 to \$1. At the same time, the quantity of oranges demanded decreases from 100 to 80. The price elasticity of demand for oranges (calculated using the initial value formula) is __________. 0.75

25. ## Rational function

1. Suppose that the population of rabbits increases by 1.5 times a month. When the initial population is 100, what is the approximate integer population after a year? The population after n months is given by 100 x 1.5n

26. ## Algebra 2

A certain population of rabbits is doubling its population every 2 months. The original population started with only 20 rabbits. A biologist studying the population found that the equation 1000=20(2)^t shows how many months, t, it will take before there

27. ## Algebra

Danielle has decided to raise rabbits but has been warned that the number of rabbits she will have will grow very quickly. Danielle started out with 15 rabbits and the function y=15*1.8x models the number of rabbits she will have after x months. Which

28. ## Calculus

Suppose that a population develops according to the logistic equation dP/dt = 0.06P−0.0001P^2 where t is measured in weeks. 1) The carrying capacity is . 2) The growth rate k is . Use your calculator to sketch a direction field for this equation. Sketch

29. ## Math

In 1951, the population of India was 357 million people. By 1981 it had grown to 984 million. If the population is growing exponentially, when (in what month of what year) will the population reach 1 billion people? How do you know what month? -Reiny

30. ## Science

Suppose a species of beetle feeds on grass in a grassland ecosystem. Toads prey on the beetle. In which of the following scenarios would a predator become a limiting factor for the beetle population? A.A drought reduces the toad population. B.An influx of

31. ## MATHEMATICS

3. The population P (in thousands) of a colony of rabbits at time (t) years is given by P(t) = 5 + ae−bt, t ≥ 0 where a and b are positive constants. If it is given that the initial population is 10, 000 rabbits and one year later this population has

32. ## math

Suppose there are 100 rabbits on an island and that the rabbit population can triple every half-year. Write an equation you could use to find the number of rabbits, R, after t, years. Using your equation, determine the amount of rabbits on the island in

33. ## math- HELP!

The Fibonacci sequence was first discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair of adult rabbits produces one pair each month, and no rabbits die, then how many pairs of rabbits would be produced after seven

34. ## pre calculus

The population of foxes in a certain region over a 2-year period is estimated to be P1(t) = 300 + 50 sin(πt/12) in month t, and the population of rabbits in the same region in month t is given by P2(t) = 4000 + 400 cos(πt/12) . Find the rate of change of

35. ## Algebra

Dorothy has decided to raise rabbits but has been warned that the number of rabbits she will have will grow very quickly. Dorothy started out with 20 rabbits and the function y=20*2.3^x models the number of rabbits she will have after x months. which graph

36. ## Math

1. Which function represents an initial population that increases 22% per year where A represents the initial value and X represents time in years? A. Y=A(0.22)^x B. Y=A(0.68)^x C. Y=A(1.22)^x D. Y=A(1.68)^x I do not get how to solve this problem. Any help

37. ## algerbra

With over 30 million rabbits, the bunny farm is getting overcrowded and some of the rabbits are dying from a contagious disease. The rabbits have stopped reproducing, and the disease is reducing the total rabbit population at a rate of about 30% each

38. ## calculus

The population P (in thousands) of a colony of rabbits at time (t) years is given by P(t) = 3+ae−bt, t ≥0 where a and b are positive constants. If it is given that the initial population is 10,000 rabbits and one year later this population has reduced

39. ## Analyzing Data

Multiplying Rabbits Suppose that a pair of rabbits produces six offsrping: 3 males and 3 females. Assumes that no offspring die. 1. If each pair of rabbits breeds only once, how many offspring would be produced each year for 5 generations? 2. Construct a

40. ## Algebra 1

Paul has decided to raise rabbits. He has been warned that the number of rabbits will double every month. He started with 3 rabbits, and the function y=3(2^x) models the number of rabbits he will have after x months. How many rabbits will paul have after 8

41. ## Discrete Mathematics

The population of rabbits in a particular habitat triples every year. If there are 500 rabbits in 2013, when will there be over 100,000 rabbits?

42. ## Math

A pair of newborn male and female rabbits is placed in an enclosure to breed. The rabbits start to bear young TWO MONTH after their own birth. At the end of each month, they have another male-female pair, which in turn mature and start to bear young ONE

43. ## math

Raising rabbits. Before Roland sold two female rabbits, half of his rabbits were female. After the sale, only onethird of his rabbits were female. If x represents his original number of rabbits, then  1 2  x  2   1 3  (x  2). Solve this equation to

44. ## math

Due to lack of natural predators, the rabbit population of a city park is doubling every year. If the rabbit population is 16 rabbits in year , how many rabbits will there be in year 5?

45. ## statistics

11. Suppose we are estimating m. What happens to the required sample size as the population standard deviation increases while the confidence level and desired margin of error remain constant? A) It increases. B) It decreases. C) It does not change.

46. ## Math

The rabbit population in a forest area grows at the rate of 7% monthly. If there are 180 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use . A. 402 B. 408 C. 428 D. 415 I got 402, is

47. ## math

an initial population of 865 quail increases at a annual rate of 15%. write an exponential function to model quail population

48. ## Math-Reiny Help! Previous Problem

In 1951, the population of India was 357 million people. By 1981 it had grown to 984 million. If the population is growing exponentially, when (in what month of what year) will the population reach 1 billion people? How do you know it's the 6th month?

49. ## Algebra

Suppose a population of bacteria in a Petri dish has a doubling time of 6 hours. How long will it take for an initial population of 11000 bacteria to reach 20000? Round your answer to two decimal places.

50. ## algebra

Suppose a population of bacteria in a Petri dish has a doubling time of 6 hours. How long will it take for an initial population of 11000 bacteria to reach 20500? Round your answer to two decimal places.

51. ## Science

Overpopulating rabbits in Australia were finally controlled by a disease spread trough the population. A higher death rate was recorded in regions with large population than small population. The disease can be considered.... A. A density-dependent factor.

52. ## math

Suppose that the population of a town is described by P=0.16t^2=7.2t=100, where P is the population in thousands and t is the time in years, ( with t=o representing the year 2000). A. what will the population be in 2010? B. what was the population in 1995?

53. ## Calculus

The population of a county increases at a rate proportional to the existing population. If the population doubles in 20 years, then the factor of probability is a) 2e^(-30) b)1/2(ln 20) c)ln 2 d)1/20(ln 2) e)ln 20

54. ## science

You observe that one fox eats 100 rabbits each year. You have the idea that every increase of one in the fox population will cause the rabbit population to decrease by 100.

55. ## Statistics

Suppose a researcher wants to study the effectiveness of a new reading program for students who have not acquired the necessary reading skills by the time they reach the 8th grade. A randomly selected group of 50 students from a local junior high with poor

56. ## math

the population of a southern city follows the exponential law. If the population doubled in size over an 18 month period and the current population in 10000, what will be the population 2 years from now? the equation for the exponential equation is: A=ao e

57. ## ratio and proportions

A pet store currently carries 3 times as many dogs as cats and twice as many cats as rabbits. if store carried ten fewer dogs than it currently does, it would have an equal number of dogs and rabbits. how many cats does store currently carry

58. ## Algebra

Hey dudes, I need my answers and reasoning checked. (uwu) "Suppose you start with 24 rabbits, Each year they grow to 10 times as many! Write an exponential function to represent the rabbit population, y, based on the number of years that passed, x.

59. ## Analyzing Data (HELP!!)

Multiplying Rabbits Suppose that a pair of rabbits produces six offsrping: 3 males and 3 females. Assumes that no offspring die. 1. If each pair of rabbits breeds only once, how many offspring would be produced each year for 5 generations? 2. Construct a

60. ## Pre-Calculus

A population of 20 rabbits is introduced to a small island. The population increase at a rate of 60% per year. (A) Find a function of F(t) that represents the number of rabbits on the island after t years. (B) Suppose 100 rabbits were introduced to the

61. ## Mathematics

Part of the the population of 4,500 rabbits at a zoo is infected with a parasite. A random sample of 50 rabbits show that 8 of the rabbits are infected. How many rabbits are likely to be infected from the total population?

62. ## Math

Under ideal​ conditions, a population of rabbits has an exponential growth rate of 11.8​% per day. Consider an initial population of 300 rabbits. Find the exponential growth function.

63. ## Math

A pair of newborn male and female rabbits is placed in an enclosure to breed. The rabbits start to bear young one month after their own birth. At the end of each month, they have another male-female pair, which in turn mature and start to bear young one

64. ## Math

A pair of newborn male and female rabbits is placed in an enclosure to breed. The rabbits start to bear young ONE MONTH after their own birth. At the end of each month, they have another male-female pair, which in turn mature and start to bear young ONE

65. ## Word Problems-Math

Please help with my word problems? Solve the problem. The rabbit population in a forest area grows at the rate of 6% monthly. If there are 260 rabbits in April, find how many rabbits (rounded to the nearest whole number) should be expected by next April.

66. ## Math-Population Word Problem

The population of rabbits in a national forest is modeled by the formula P=8,600+650 ln(t+1) where "t" is the number of years from the present. a)How many rabbits are now in the forest b)Estimate when it will take for the number of rabbits to reach 12,000?

67. ## Pleaaaaaase help with differential graph question

Suppose further that the population’s rate of change is governed by the differential equation dP/dt = f(P) where f (P) is the function graphed. For which values of the population P does the population increase? (b) For which values of the population P

68. ## Algebra

A biologist studying a population of alligators in a State Park determines that the population can be modelled by the formula ff(tt) = 120,000(1.015)tt , where ff(tt) represents the population after t years. An intern studying with the biologist makes this

69. ## Pre calc

The general function P(t)= 640ekt is used to model a dying bird population, where Po = 640 is the initial population and t is time measured in days. Suppose the bird population was reduced to one quarter of its initial size after 9 days. How long will it

70. ## Math/Trig

If the population of rabbits in a certain area is modeled by the function, r=10,000cos(pi/12t)+35,000 where t is the time in months, approximately how many rabbits will there be in August (January is equal to t = 1)?

71. ## Math Application

Raising rabbits. Before Roland sold two female rabbits, half of his rabbits were female. After the sale, only onethird of his rabbits were female. If x represents his original number of rabbits, thenSolve this equation to find the number of rabbits that he

72. ## precalculus

the population of a country is 65 millions if it grows exponentially in a rate of 1.5% annual 1.-calculate the estimate population in 12 years 2.-when the population increases 4 times could somebody please explain me this kind of problems where you need to

73. ## Maths

30% of the rabbits from a farm were lent to a zoo. After a month, 5/6 of the rabbits were returned to the farm. There were 228 rabbits in the farm now. a.) How many rabbits were lent to the zoo in the beginning? b.) How many rabbits were there at the farm

74. ## Math

need some help on an algebra question. First we had to put the different combinations of 6 rabbits in 2 cages. Like 2 rabbits in the red cage and 4 rabbits in the blue cage...etc. Then it says to write an equation using variables that represent the rabbits

75. ## math

The park currently contains 20 wolves and the park rangers are introducing additional wolves at the rate mt(12−t) wolves per month, 0≤t≤12 for some constant m>0 to be determined. However, the park rangers are concerned about damaging the current

76. ## Math

A farmer has some rabbits and some cages. When he puts two rabbits in each cage, there are two rabbits Left over.When he puts 3 rabbits in each cage, there are 16 extra cages, but no rabbits left over. How many rabbits and how many cages? (Write an

77. ## Maths

Its the old rabbit colony question using simultaneous linear and quadratic equations - and I need help: A colony of rabbits is growing so that the total number of rabbits (R) after number of weeks (t) is shown: on this table. t=5 R=140, t=10 R=200, t=15

78. ## algebra

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 11% per hour. Suppose also that a sample culture of 1000 bacteria is obtained from this population.

79. ## math

Hi, I had a question about exponential growth. The problem says: The population in Woonsocket is 43,500. Every year the population increases by 2%. Write the exponential equation that represents this situation. I put that the equation was 43,500 (1+.2)^y

80. ## Calculus

suppose that a population is dying with a half life of of 43years. The initial size is 1600. Find the 1 year DTDS for this population

81. ## algebra

An initial population of 298 quail increases at an annual rate of 8%. Write an exponential function to model the quail population. What will the approximate population be after 3 years f(x)=298(1.08)^x;375 f(x)=298(0.08)^x;153 f(x)=298(8)^x;305

82. ## Math

2. Growth function P=100 (645)^t/21 where P represents the cane toad population and t represents the time measured in months from when the toad was introduced in July 1935. A. What was the initial population of cane toads introduced into Australia? B. What

Can you please explain these two questions to me? Suppose the population size of a predator is given by P (x) = 0.006x2 + 0.005x, where x represents the population of its prey. If the population of the prey is 10,000 at the first of January and is reduced

84. ## math

There were 800 turtles and rabbits in a pet shop. After selling a total of 192 animals, 3/4 of the turtles and 5/6 of the rabbits were left. How many rabbits were there at first?

85. ## Math

Hello again! You might see me a lot today. Just a heads up. 1. Which function represents an initial population that increases 22% per year where A represents the initial value and X represents time in years? A. Y=A(0.22)^x B. Y=A(0.68)^x C. Y=A(1.22)^x D.

86. ## Calculs I

A bacterial population grows at a rate proportional to the population size at time t. Let y(t) be the population size at time t. By experiment it is determined that the population at t=15 min is 16000 and at t=45 min it is 22000. (a) What was the initial

87. ## biology

If the surface area of a cell that is shaped like a cube increases 100 times, it volume increases about a. 5 times b. 10 timesc. 100 times d. 1000 times***

20. Suppose a population of 175 crayfish doubles in size every month. The function f(x)=175(2^x) gives the population after x months. How many crayfish will there be after 1 year? A) 2,100 B) 4,200 C) 716,800 D) 61,250 I think the answer is D. Am I

89. ## physics

A first object is thrown vertically upward with some initial speed and some initial height above the ground. Simultaneously, a second object is thrown straight down with the same initial speed and same initial height above the ground. Before the second

90. ## Economics

Suppose that the equilibrium quantity in the market for widgets has been 200 per month. Then a tax of \$5 per widget is imposed on widgets. The price paid by buyers increases by \$2 and the after-tax price received by sellers falls by \$3. The government is

91. ## Algebra

Foxes and rabbits. The ratio of foxes to rabbits in the Deerfield Forest Preserve is 2 to 9. If there are 35 fewer foxes than rabbits, then how many of each are there?

92. ## math

In 1980, the population of a certain country was about 161 000. since then the population has decreased about 1% per year. a. find an equation to model the population since 1980 b. estimate the population in 1990 c. suppose the current trend continues.

93. ## Statistics

Sampling Distribution of 𝒙̅ 3. A Suppose a random sample of size 80 is selected from a population with s = 8. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).

94. ## MATHS

The population of town A increases from 1,346 to 1,500. In the same period, the population of town B increases from 1,546 to 1,800. a. Find the percent of increase in population for town A and for town B. b. Which town had the greater percent of increase?

95. ## calc

How long will it take for the population to reach 10 times its initial level? y=50(e)^(0.5t)

96. ## Physics

A model airplane is flying in a horizontal circle with a constant speed. The initial radius of the circle is R. The boy holding the cord to which the airplane is attached, then decides to increase the length of the cord so that the radius of the circle

97. ## Physics

A model airplane is flying in a horizontal circle with a constant speed. The initial radius of the circle is R. The boy holding the cord to which the airplane is attached, then decides to increase the length of the cord so that the radius of the circle

98. ## math

write the following science ideas mathematically using symbolic representation you observe that one fox eats 100 rabbits each year. you have an idea that every increase of one in fox population will cause the rabbit population to decrease by 100 fx100=

99. ## Math

The population of town A increases from 1,546 to 1,800. In the same period, the population of town B increases from 1,346 to 1,500. a. Find the percent of increase in population for town A and for town B. b. Which town had the greater percent of increase?

100. ## Math

Use three methods to express each problem’s ratio. Simplify all fractions. 1. Anna has 12 black rabbits and 4 brown. What is the ratio of black rabbits to brown rabbits?