A bacteria culture grows with constant relative growth rate.The bacteria count was 400 after 2 hours and 25,600 after6 hours.(a) What is the relative growth rate? Express your answeras a percentage

Q: Snowballs formed by kids in winter season is found to melt in such a way that the rate of change in…

A:

Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

A:

Q: The population of a certain city was 34000 in 2010, and the observed relative growth rate is 0.5%…

A: Given information : Population of city in 2010 = 34000 Relative growth rate = 0.5%

Q: An original count of a deer population in an Alberta forest determined that 238 deer were present.…

A: Given: Past population = 238 Current population = 431 Formula Used:

Q: Five years ago a family was in debt $9.000. They are now in debt $10,000. Assuming their…

A: Given that indebtedness of the family is changing at a rate proportional to their indebtedness. Five…

Q: What continuous interest rate eqauls an annual interest rate of 2 % ? Give your answer as a decimal…

A:

Q: If the rate of growth in sales of company for five years is 5%, 7.5%, 2.5%, 5% and 10% respectively,…

A: It is given that the rate of growth in a company is 5%,7.5%,2.5%,5% and 10% We need to find the…

Q: 6. The number of tree frogs on an island is growing at a rate proportional to the population. The…

A: topic - exponential function

Q: assume that food prices have risen about 8 percent  per year for the last 6 years if a gallon of…

A: Given that food prices risen about 8% per year for the last six years. Given that gallon of milk…

Q: 8. A population of ducks grew from 420 to 8000 in 6 years. If the population growth is linear, what…

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: the bear population gradually increases over a decade. there are 1604 bear this year and there was…

A:

Q: A quantity decreases by 3% for each of five years. What is its percentage decrease over the…

A:

Q: AIT student places 100 bacteria into a petri dish. Six hours later, he measures 450 bacteria.…

A: AIT student places 100 bacteria into a petri dish. Six hours later, he measures 450 bacteria.

Q: 2. In the midyear of 2020, a country's population 109,581,078 with a growth rate of approximately…

A:

Q: The value of a home grew from $250,000 to $380,000 in 6 years. What is the average rate of growth…

A:

Q: The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. a) What is the…

A: Applications of derivatives

Q: How does related rates apply in real life situations?

A: The related rate is a concept that involves how the rate of two or more than two changing quantities…

Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: Note: It is assumed that the base of the mound is square.   The volume of a square pyramid is…

Q: Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model…

A: Modeling a given set of data in 2 variables is the process of finding the expression relating the…

Q: Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model…

A:

Q: A wolf puppy fossil was discovered in one of the caves in thawing permafrost in Dawson City, Yukon,…

A:

Q: A wolf population is growing at a rate of 9.3% per year. Find the time at which the wolf population…

A:

Q: Q.5 In the month of June 4500 inpatients days were served in a hospital with 150 beds. Calculate the…

A: Hospital statistics is a branch of statistics, which deals with the service, quality, quantity, etc…

Q: 1000 mg of a medication is administered to a patient. After 6 hours, only 271 mg remains in the…

A:

Q: An investment decreases by 50% over a period of 12 years. At what effective annual percent rate does…

A: Given Data: The investment decreased by: D=50% The time period is: n=12 years The decreased…

Q: Explain the difference between the positive, negative, and constant rate of change?

A: we need to explain the difference between the positive, negative, and constant rate of change.

Q: Annual revenue for Corning Supplies grew by 5.5% in 2010, 1.1% in 2011, -3.5% in 2012, -1.1% in…

A: The annual growth rate represents the percentage of amount which is increased in 1 year. For example…

Q: Between 2011 and 2016, the population of the city of Edmonton increased from 812 201 to 932 546. a)…

A: Given: Population of the city increased from 812,201 to 932,546 between 2011 to 2016.

Q: Outside of the box question: The number of treated mosquitoes increased from 20 to 2000 within 8…

A: Rate of change of mosquitoes

Q: The rates of increase in the population of a country during the last 3 decades are 10%, 20% and 30%.…

A: Given The data is as follows: Rate of increase in the pop. during last 3 decades are as follows:…

Q: 4. In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated to…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The number of Americans age 65 or older can be modeled as n(x) = −0.00082x3 + 0.059x2 + 0.183x +…

A: For  rate of change of the projected number in 2045 we have to find n'(45) because at 2045 ,…

Q: A house was valued at $190,000 in the year 1988. The value appreciated to $250,000 by the year 2003.…

A: House Price was 1,90,000 in year 1988. P=$1,19,000 The value appreciated to $250,000 by the year…

Q: The net revenue of a company rose 3.6 %, while inflation rate was 3.0 %. Calculate the relative real…

A: Given that: Inflation rate = 3% Increase in Net revenue = 3.6%

Q: A population of bears originally numbers 45000. After 2 years of growth at the same rate each year,…

A:

Q: (a) What is the continuous percent growth rate for P = 130e0.037 with time, t, in years?

A: For an exponential functionP=P0ektwhere P0=initial valuek=continous growth ratet=time

Q: a) Determine the average rate of change in the size of the crowd for each half hour of the rally. b)…

A: Solution:

Q: In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the…

A: Mass of radioactive sample at the beginning of 10th day is : 74.3 gram.

Q: 3. The amount of pollution x miles downwind of an electrical plant is g (x) = 64x¬4 + 8x parts per…

A:

Q: A bacteria culture grows with constant relative growth rate. The bacteria count was 100 after 1 hour…

A:

Q: The table above gives the annual sales (in millions of dollars) of a product from 1998 to 2006. What…

A: Average rate of change = change in sales/change in time Average rate of change =(y2-y1)/(x2-x1)

Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: Note: It is assumed that the base of the mound is square.   Using the product rule of derivative, it…

Q: This exercise uses elementary properties of the Richter Scale. If the relative intensity of a quake…

A:

Q: 1. There were 526 million Twitter users in 2008. The amount of users increased to 974 million…

A:

Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: Concept: Here we have the height of the mound is 24 inches (h) And the base of the mound is 36…

Q: An investment earns 4.3% interest compounded continuously. How fast is the investment growing when…

A:

Q: The number of wolves in the wild in the northern section of the Cataragas county is decreasing at…

A: P(t)=P0(1-r)t r is the rate of decreasingP0 is the initial populationP(t) is the population after t…

Q: It started raining at 10:15 am, and by 12:10 pm the barrel had 7 inches of water in it. What was…

A:

Q: Enrollment at my college is increasing at a rate of 42% per decade. What is the yearly percentage…

A: We know that 1 decade = 10 years.

Q: 3. A bowl of soup has an initial temperature of 60 degrees Celsius. The temperature decreases by 6%…

A: Initial temperature= 60 degrees temperature decreases by rate 6% each minute

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.