A colony of bees is growing exponentially at a rate of 1.6% per day. - How long for the population to double in size? ___ days - How long for the population to triple in size? ___ days - How long for the population to grow five-fold in size? ___ days Round answeres to the nearest tenth of a day.

Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a…

A: Exponential decay model:- x(t)=Ce-ktwhere x is the amount of substance at time tk is the rate of…

Q: At the start of a zombie apocalypse, 6 people are initially infected.  After 10 hours, the number of…

A: Option A is the correct choice. Assume the exponential growth function and determine the growth rate…

Q: - Population of a particular species in a lab is 350. If they grow in an exponential pattern at the…

A: Given ,  Population of a particular species in a lab is 350 . And they grow in an exponential…

Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

A:

Q: The population of a country is growing exponentially, doubling every 40 years. What is the annual…

A: Since the population is growing exponentially, we can write the expression for population as a…

Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

A: Given:- A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

Q: 2) A bacteria culture which started at 2, 000 became 6, 000 after 4 hours. After how many hours will…

A:

Q: purchased a new car in 2010 for $16,200.The value of the car has been depreciating exponentially at…

A: Please refer to the image below

Q: Carbon-14 decays at a regular exponential rate. The half-life of carbon-14 is approximately 5730…

A:

Q: 4. Population of a particular species in a lab is 350. If they grow in an exponential pattern at the…

A:

Q: A colony of bacteria is growing exponentially. Initially, it has 10 bacteria in it, and Jafter 4…

A: A colony has initially 10 bacteria and after 4 seconds, it has 2000

Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

A:

Q: Daniel's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%.…

A:

Q: species in the Hawaiian Islands. A certain population of Bluestripe Snapper grows exponentially with…

A: Given query is to find By what factor will the population grow over the next 9 years.

Q: The count in a bacteria culture was 200 after 20 minutes and 2000 after 35 minutes. Assuming the…

A:

Q: An unknown substance weighs 25.28kg when it is first brought to the lab.  After a week in the lab, a…

A: Please see the answer in Step 2

Q: grows exponentially

A: Let P(t) be the population of the bacteria at any time 't' minutes. It is already mentioned that the…

Q: A radioactive substance decays exponentially. A scientist begins with 100 milligrams of a…

A:

Q: The count in a bacteria culture was 200 after 15 minutes and 1700 after 30 minutes. Assuming the…

A:

Q: The count in a bacteria culture was 200 after 10 minutes and 1900 after 35 minutes. Assuming the…

A:

Q: The count in a bacteria culture was 700 after 10 minutes and 1200 after 40 minutes. Assuming the…

A:

Q: The countin a bacteria culture was 200 after 10 minutes and 2000 after 40 minutes. Assuming the…

A:

Q: Suppose a population of pavement ants in Taylorsville, UT has an initial population of 4800 and 18…

A: UT has an initial population as 4800. After 18 years later, the population becomes 24000. Find the…

Q: In 2011, the population of a colony is 19000, and is decreasing exponentially at a rate of 6.3% per…

A: Given  In 2011, Population = 19000 Decreasing at a a rate of 6.3% per year

Q: The count in a bacteria culture was 500 after 15 minutes and 1700 after 35 minutes. Assuming the…

A:

Q: A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a…

A: Solution

Q: In 2005, the population of a district was 28,300. With a continuous annual growth rate of…

A: Consider the given information as Initial population in 2005 is 28,300 and growth rate is 7%

Q: In August 2013, Ally Bank was offering 0.61% interest on its Online Savings Account, with interest…

A:

Q: use an exponential model and a graphing calculatorto estimate the answer in each problem. Determine…

A: A=P1+rnntP is the amount investedr is the rate of interestA is the amount invested after t years

Q: Use a model for exponential decay to solve: If 12 g of a radioactive substance are present…

A:

Q: In 2015, the exponential growth rate of the population of a city was 3.76% per year. What was the…

A: Value of k is 0.0376

Q: The amount of goods and services that costs $400 on January 1, 1997 costs $432.86 on January 1,…

A:

Q: A population of green slime, growing exponentially, triples in size every 10 years. How long does it…

A: Given that  The population of green slime is growing exponentially  Triple in every 10 years

Q: I need

A:

Q: In 2001, the population of a district was 36,200. With a continuous annual growth rate of…

A:

Q: 10. A sample of 50 bacteria grows exponentially and increases by 45% each hour. A) How many bacteria…

A: Let N0  represent initial population of bacteria and Nt represent population  in t hours

Q: The total population of Colorado in 2010 was 5,029,000. The population has since been growing…

A: Let the population of Colorado at time t is P(t), where t = 0 corresponds the year 2010. The…

Q: A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has…

A:

Q: population

A: The exponential function for population growth is given as y(x) = A*(B)x where,  A = initial…

Q: A biologist is observing the exponential growth pattern of a virus. She starts with 40 of the virus…

A: *to find:- Number of viruses after 24 hours, note here that growth is exponential.

Q: There are currently 64 million cars in a certain country, increasing exponentially by 2.8% annually.…

A:

Q: In 2007, the initial population of a certain city is 100,000 and is increasing exponentially at a…

A: Equation of population growth : P = P0 e^(rt) r is population growth rate.

Q: A radioactive substance decays exponentially. A scientist begins with 160 milligrams of a…

A: Given: Initial amount of substance is 160 milligrams. After 32 hours, 80 mg substance is left. To…

Q: The count in a bacteria culture was 400 after 10 minutes and 1400 after 35 minutes. Assuming the…

A:

Q: The number of bats in a colony is growing exponentially. After 4 years, there were 2025 bats. After…

A: Let the initial no. of bats=No. and after time 't', no. of bats=N(t)Let the rate of increase =…

Q: A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a…

A:

Q: A 8-inch tall sunflower is planted in a garden and the height of the sunflower increases…

A: Given  Initial height of tree I=8 Inches Number of period N=5

Q: A sample of bacteria is growing at an hourly rate of 5% according to the exponential growth…

A: Initial population= 8  Growth rate= 5%= 0.05 Time= t (in hours) Final population= P(t) So, the…

Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

A: Solve for the remaining amount after the 39 hours

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.