The total population of Colorado in 2010 was 5,029,000. The population has since been growing exponentially at a rate of 1.57% per year. *Round these answers to the nearest whole person a.  Use this information to estimate the population of Colorado now (2021). b.  Use this information to estimate the population of Colorado in 2036.

Q: Find the exponential function y = Cekt that passes through the two given points.   (3,1/2),(4,5)

A:

Q: In 1980 1.862 million people lived in San Diego county. In 2010it had 3.103 million people. Assuming…

A: let exponential equation P=abt a is the population in 1980 i.e., 1.862 Million and  b is growth…

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

A: From the given problem we get an equation is D= 400×e^(-0.02t)

Q: Find a formula for the exponential function passing through the points (-1,3434) and (2,48)

A: Let the required exponential function is y=abx. Now, as function pass through (-1,3434):…

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: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2…

A:

Q: Use the exponential decay model, A = A0ekt, to solve:The half-life of aspirin in your bloodstream is…

A:

Q: Write an exponential function in the from y= ab^x that goes through points (0,9) and (3,72)

A: Please see the answer below.

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: There are currently 69 million cars in a certain country, increasing exponentially by 5.1% annually.…

A: amount = P(1+r/100)T

Q: The population of the world as of April 2017 was approximately 7.5 billion, and the annual growth…

A:

Q: In 1940, there were about 10 brown tree snakes per square mile on the island of Guam, and in 2017,…

A: Given: In 1940, there were about 10 brown tree snakes per square mile on the island of Guam, and in…

Q: a scienhst begins with 100 milligrams of a radioactive subtance that dicays exponentially. After 35…

A: Topic:- exponential decaying function

Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given the interest increases exponentially. The investment is $4000 and the interest in 3 years is…

Q: According to Statistics Canada, in Grimshaw, Alberta, the population is declining Between 2001 and…

A: Solution

Q: In 2010, the population of Austin, Texas, was 790,390. In 2017, Austin's population was estimated to…

A:

Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given that , Initial investment = $4000 Rate of increase = ?

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

A:

Q: According to the United States Census Bureau the population of Utah was 2.12 million people in 1997…

A:

Q: A helpline usually gets 4 phone calls per hour. Assume that the number of phone calls is…

A:

Q: The median house price in the Pickering Region increased by 5.8% from January 1, 2019 to January 1,…

A:

Q: In order for an investment, which is increasing in value exponentially, to increase by a factor of 5…

A: Let, Initial investment = P Final Investment= A=5P , as it is increased by a factor of 5 Time taken…

Q: Determine whether the growth (or decay) is linear or exponential, and answer the associated…

A:

Q: The count in a bacteria culture was 400 after 10 minutes and 1100 after 30 minutes. Assuming the…

A: Given that, The count in a bacteria culture was 400 after 10 minutes and 1100 after 30 minutes.

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: 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 radioactive isotope, selenium, used in the creation of medical images of the pancreas, has a…

A:

Q: If the population of Elmdale was 34, 500 in 2010 and was growing at an annual rate of 4.3%, in what…

A: Solution attached below

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: The "Student Drug Use and Health Survey" of Ontario high school students found that 18.8% of…

A: The exponential growth formula is given by, ft=a1+rt…

Q: The world population reached 7.53 billion in 2017 and was growing at approximately 1.2% each year.…

A: Use formula of continuously growing

Q: Use the exponential growth model,A = A0ekt, to solve: In 1975, the population of Europe was 679…

A: a. Find an exponential growth function that models the data for 1975 through 2015.

Q: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

A:

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A:

Q: Create an equation for the exponential function in the table below.

A:

Q: 9. Deerhaven had a population of 42,000 in 1960 and a population of 58,000 in 1990. Based on this…

A:

Q: Give a possible formula for the exponential function in the figure below. (3,1000) 200 t 4 1

A:

Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in…

A:

Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. (a) Find an…

A:

Q: The population of the world in 1987 was 5 billion and the annual growth rate wa percent per year.…

A: detailed solution is given below

Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential…

A: Let the model be Pt=P0.ekt→(1) Consider t=0 as 1990 P0 is the population when t=0, Therefore,…

Q: The U.S. population was 170 million in 1950 and 240 million in 1990. Assuming exponential population…

A: If initial population is P0,, then  the population after t years is Let us take t=0 corresponds to…

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

A:

Q: In 1990, Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each ye What…

A:

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: how many paramecia can you expect after 7 weeks?

A: Here use basic of exponential forecasting

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

A:

Q: The number of alternative fuel vehicles1 running on E85, fuel that is up to plant-derived ethanol,…

A: (a) At the year 2004, the number of vehicles is 211,800, that is, t = 1, y(1) = 211,800.At the year…

Q: Suppose the population was 500 on January 1, 2000 and it was 800 on January 1, 2006. Assuming the…

A: Exponential growth model

Q: Write an exponential function in the form y = abº that goes through points (0, 12) and (3, 6144).

A: Soln:-    y = abn → 1 Passing through the point 0 , 12 & 3,6144→      We can put both point in…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.