A population of cattle is increasing at a rate of 800 + 80 t per year, where t is measured in years. By how much does the population increase between the 2nd and the 4th years? Total Increase =

Q: In a tank 100 liters of brine containing 50.0 kg total of dissolved salt. Pure water is allowed to…

A: solution :            let y(t) be the amount of salt dissolved in tank after t minutes  we are given…

Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to…

A: We have to find the value after 6 years.

Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram…

A:

Q: oil

A: We will find how much oil is left in the rank after 3 hours.

Q: In the tank of 100 liters of brine containing 50kg totally dissolved salt. Pure water is allowed to…

A: Let y(t) be the amount of salt dissolved in the tank in kilograms after t minutes. Initially amount…

Q: 5. An apple pie with an initial temperature of 170 °C is removed from the oven and left to cool in a…

A:

Q: The metal frame of a rectangular box has a square base. The horizontal rods in the base are made out…

A: To find the rate of change of the volume of the box

Q: Bacteria grow in culture at a rate proportional to the amount present. Initially, 300 strands of the…

A: We can assume that the bacteria grow exponentially. The exponential growth rate can be expressed as…

Q: A bacterla colony starts with 20 bacterla and grows continuously at a rate of 28% per hour. a. How…

A:

Q: A study indicates that t months from now the population of a certain town will change at the rate of…

A: To determine the rate of change.

Q: 1. A 30 m tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate…

A: Use the rate of flow of water and salt to define an equation. Now integrate the equation using the…

Q: Suppose a forest starts with a deer population of 50 deer the population is increasing at a rate of…

A:

Q: A rectangle initially has dimensions 4 cm by 7 cm. All sides begin increasing in length at a rate of…

A:

Q: ne length of the rectangle is decreasing at a rate of 5 cm per second, and its width is increasing…

A:

Q: An epidemic is spreading at the rate of 11e0.2t new cases per day, where t is the number of days…

A:

Q: a population of bacteria originates with 2500 bacteria. After a harmful substance is introduced into…

A: Initial population of bacteria= 2500 The rate of decline of the bacteria population= 10% Also,…

Q: The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a…

A: the population after y year  A = pe^(rt)

Q: A) The population of a country has grown at a rate proportional to the number of people in this…

A: Let the present population be P0 Then t years later the population is Pt and t years ago the…

Q: 5. The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/³ million barrels per year. (i)…

A: Given rate of consumption of fuel = (3t + 27)^1/3 million barrels per year. (i) In the next 10…

Q: Water leaks from a cylinder, with axis vertical, through a small orifice in its base at a rate…

A:

Q: A population of cattle is increasing at a rate of 100 + 20t per year, where t is measured in years.…

A: Given : A population of cattle  is increasing at the rate of 100+20t per year

Q: An epidemic is spreading at the rate of 17e0.2t new cases per day, where t is the number of days…

A:

Q: A firm produces 550 T.V. sets during its first year. The sum total of the imm's production at the…

A: Given that - A firm produces 550 T.V. sets during its first year. The sum total of the imm's…

Q: 21. The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Given:- The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the…

Q: A rectangle initially has dimensions 4 cm by 8 cm. All sides begin increasing in length at a rate of…

A: Given dimensions of rectangle  is 4 cm by 8cm. And sides of rectangle increasing in length at rate…

Q: A firm produces 550 T.V. sets during its first year. The sum total of the imm's production at the…

A:

Q: 5. A ladder 25 feet long leans against a vertical wall. The bottom of the ladder slides away from…

A:

Q: An epidemic is spreading at the rate of 19e0.2t new cases per day, where t is the number of days…

A:

Q: 1. A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble…

A: Initial condition t= 0min of tank45 liters = Amount of solution in tank, v080g        = Amount of…

Q: Bacteria in a certain culture increase at the rate proportional to the number umber? bacteria…

A: The rate of increase dNdt in number of bacteria is proportional to the number of bacteria present N…

Q: In a tank are 100 liters of brine containing 50 kg total dissolved salt. Pure water is allowed to…

A: Solution : We have given that in a tank of 100 liters of brine containing 50 kg total dissolved…

Q: 1. The area of a triangle is increasing at a rate of 2 as the altitude increases at a rate of 1. How…

A:

Q: If human toenail grows at an average rate of about 0.13 inch a month.   1 year has 12 months. 1…

A: Given, Growth of human to nail =0.13 inch/month 1 year has 12 months. 1 inch is equal to 2.54 cm.…

Q: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

A: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

Q: A swarm of bees is spreading from an original region of 1 square mile. The region the swarm occupies…

A: Given that the original region of 1 square mile.  After 1 year area will be 2(1)=2=21 square miles…

Q: In the tank of 100 liters of brine containing 55kg totally dissolved salt. Pure water is allowed to…

A: Suppose that the amount of salt in the mixture be Q. The volume of mixture at time t will be as…

Q: Pure water is poured at a rate of 3 m³/min into a tank containing 300 kg of salt dissolved in 100 m³…

A: Initially 300 kg of salt dissolved in 100 m3 of water,Rate of pouring in pure water = 3m3min,Rate of…

Q: 12. A small balloon is released at a point 150 feet from an observer, who is on level ground. If the…

A: As per our guidelines, we are allowed to answer the first question only please resubmit the other…

Q: 5. The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A:

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A: For the solution of the problem follow the next steps.

Q: A tank contains 200 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A:

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A:

Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/3 million barrels per year. (i)…

A: Given that at time t years, an industry consumes fuel at the rate of 3t+2713 million barrels per…

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A: dNdt=kN∫dNdt=∫kdtlnN=kt+ln N0N(t)=N0ekt

Q: |The amount A(t) of atmospheric pollutants in a certain mountain valley grows naturally and is…

A: Write the naturally growing equation as exponential function A(t). At t = 0, let A (t) be Ao and at…

Q: A large tank is filled to capacity with 600 gallons of pure water. Brine containing 2 pounds of salt…

A: In this question, we have given  A large tank is filled to capacity with 600 gallons of pure water…

Q: 3. After long study, tree scientists (dendrologists) conclude that a eucalyptus tree will grow at a…

A: Given : A eucalyptus tree will grow at a rate of 0.6+4t+13 feet per year , t is time in years.…

Q: The number N of bacteria in a culture grewat a rate proportional to N. The value ofN was initially…

A:

Q: 2. A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A: We will use exponential growth Function Here.