A sample of bacteria is growing at an hourly rate of 15% according to the continuous exponential growth function. The sample began with 14 bacteria. How many bacteria will be in the sample after 25 hours? Round your answer down to the nearest whole number. Provide your answer below:

Q: bacillus subtilis, a type of a bacteria responsible for the decomposition of organic matter, grows…

A:

Q: A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the…

A: Given, growing rate (r)=2% = 2/100 = 0.02 This rate got increased to 150% The formula for…

Q: Assume the revenue in the year 2000 was $ 800,000, and in the year 2002 it was $ 600,000. Assuming…

A: We will use exponential growth/decay formula to find expected revenue

Q: The amount of a certain antibiotic that remains in thr bloodstream of a patient exhibits exponential…

A: Consider the amount of a certain antibiotic which remains in the bloodstream of a patient exhibits…

Q: A lab sample decays exponentially in such away that the amount of the sample in grams t hours after…

A: Here, sample decay function is  s(t)=200(.74)t  which means that initially sample was 200gm. After…

Q: If the population of a certain city was 100,000 in 1996 and 110,381 in 2006, and if the population…

A: Given that: Population of city = 100, 000 in 1996 and Population of city = 110, 381 in 2006. Also,…

Q: Use the exponential decay​ model, A=A0ekt​, to solve the following.   The half-life of a certain…

A: To calculate the decay time of the substance under the given conditons

Q: A POPULATION OF INSECTS GROWS THERE Wtrt 170 INECTS AFTER THE THIRD DAY EXPONENTIALLY. OF THE…

A: Find your answer below

Q: A population grows exponentially at the rate of 1.85%. How long will it take the population to…

A: Population growth formula:    P = (Po).er*t P = population after time t Po = starting population r =…

Q: Complete the table below using the exponential growth formula. Growth Rate per Original Amount Final…

A:

Q: The population of the city is declining according to the exponential law. if the population went…

A: To find the population in 2022

Q: Median Rent as an Exponential function Years 2010 2019 2029(est) Median rent for All $2,090 $2,400…

A:

Q: Complete the table below using the exponential decay formula. Original Amount Decay Rate per Year…

A: Solution

Q: Complete the table below using the exponential decay formula. Decay Rate per Original Amount Year 7%…

A: We can find the answer as below.

Q: Complete the table below using the exponential growth formula. Original Growth Rate per Final Amount…

A:

Q: Complete the table below using the exponential decay formula with half-lives. ..... Half-Life Number…

A: Given query is to find the amount after x interval.

Q: How much must be invested today at 10%, compounded continuously, to be worth $271,000 in 10 years?…

A: We need to find principal value P.

Q: A given population is growing exponentially at a rate of 19.78% per year. How long will it take the…

A:

Q: Complete the table below using the exponential growth formula. Original Growth Rate per Amount Year…

A: We can answer the question as below.

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

A:

Q: During a certain period of time, a population of 70 northern sea otters had an annual growth of 18%.…

A:

Q: In the exponential growth or decay function, explain the circumstances that cause k to be positive…

A: One of the most prevalent applications of exponential functions involves growth and decay models.…

Q: Suppose the population of certain fungi in a laboratory sample is 12. (A) If it quintuples in…

A:

Q: In contrast, FarmerBooks.com's (a competitor of OHaganBooks.com) stock were increasing at a…

A:

Q: Complete the table below using the exponential growth formula. Final Amount after x Years of Growth…

A: To find- Complete the table below using the exponential growth formula.

Q: Complete the following table for an exponentially growing human population. Round to the nearest…

A: The exponential growth can be modelled using the following differential equation:…

Q: A certain stock was purchased at $42. The stock decreases by 5% each year. Express this as an…

A:

Q: The count in a bacteria culture was 400 after 15 minutes and 1400 after 35 minutes. Assuming the…

A:

Q: Most population growths can be modeled by the exponential​ function:   P(t) = aert where t…

A: Given: i. In the year 1977, a particular population of people was 3046.ii. In the year 1987, a…

Q: Complete the table below using the exponential decay formula. Decay Rate per Year Final Amount after…

A:

Q: In contrast, FarmerBooks.com's (a competitor of OHaganBooks.com) stock were increasing at a…

A: Given continuous growth rate=3.7% per hour Initial amount=$8,000 Final amount =$20,000

Q: Use the exponential decay model,A = A0ekt .The half of asprin in your bloodstream is12 hours. How…

A: Given:           Exponential Decay model.A=A0ektThe half of asprin in your bloodstream is12 hours.

Q: Find the exponential function y = Cekt that passes through the two given points. (1, 1), (6, 6)

A:

Q: Does the following exponential function represent growth or decay? y= 0.25(1.2)*. %3D growth decay

A: Concept:

Q: Complete the table below using the exponential decay formula with half-lives. ..... Years Half-Life…

A: Given that:

Q: The first recorded population of a particular country was 22 million and the population was 34…

A: Given,The first recorded population of a particular country was 22 million and the population after…

Q: The count in a bacteria culture was 400 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: The solution is given as follows

Q: an effort to control vegetation overgrowth, 65 rabbits are released in an isolated area free of…

A: Given : a =65  t = 2 Total = 585

Q: Years 2010 2019 2029(est) Median rent for All $2,090 $2,400 Median rent for $2,330 $2,450 Recent…

A: @solution::::

Q: The value, in dollars, of an antique has increas exponentially over x years as shown in the gra…

A: Here we have a graph that shows the relationship between Value (in $) and age of antique (years )

Q: In contrast, FarmerBooks.com's (a competitor of OHaganBooks.com) stock were increasing at a…

A:

Q: Complete the table below using the exponential decay formula. Original Amount Decay Rate per Year…

A:

Q: Complete the table below using the exponential decay formula. Original Amount 330 Original Amount…

A: Given Table:- Original amount Decay rate per year Number of years ,x Fnal Amount after x years…

Q: Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. If…

A:

Q: Complete the table below using the exponential decay formula. Final Amount after x Years of Decay…

A:

Q: In 2013, the population of a colony is 18500, and is increasing exponentially at a rate of 10.7% per…

A:

Q: In contrast, FarmerBooks.com's (a competitor of OHaganBooks.com) stock were increasing at a…

A: Given- The stock were increasing at the rate of 2.2% per hour, if anyone bought $ To find- if anyone…

Q: The number of bunnies at Long Beach City College is around 2,500. Assuming that the population grows…

A:

Q: In contrast, FarmerBooks.com's (a competitor of OHaganBooks.com) stock were increasing at a…

A: Formula A(t)=A0(1+r)t A0 is the initial priceA(t) is the price after t hoursr is the rate of…

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.