1.The population of a town was7652in 2016. The population grows at a rate of 1.6%annually.(a)Use the exponential growth model to write an equation that estimates the population t years after 2016.(a)Estimate the population of the town in 2024. Show your work. 2.The formula logIMS=determines the magnitude of an earthquake, where Iis the intensity of the earthquake and Sis the intensity of a “standard earthquake.”How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.

Q: 2. A bell is struck and the volume, which was recorded at 90 decibels, decreases at a constant rate…

A: a= initial sound= 90 decibelsIt decreases 9.8% per second. 9.8%=0.098Sp after 1 second sound is…

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

A:

Q: 2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of the…

A:

Q: A patient takes a 300 mg tablet for the control ofhigh blood pressure every morning at the same…

A: Given that:    The patient takes 300 mg tablet for the control of high blood pressure every month at…

Q: 2000, the population of the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was…

A:

Q: 5. A man invested 1000 dollars in an account. How long will it take before this investment will…

A: Given: Principal investment (P)= $1000 Final amount (A)= $3000 Rate (R)= 5 % Let time be t years…

Q: A person places $13000 in an investment account earning an annual rate of 7.4%, compounded…

A: The given formula is: V=Pert where V is the value of the account in t years. P is the principal…

Q: A person places $66800 in an investment account earning an annual rate of 1%, compounded…

A: Using the formula V = P ert

Q: The population of a country was 117 million in 1998 and the continuous exponential growth rate was…

A: Initial population= P= 117 million  Continuous growth rate = 3.3%= 0.033 Number of years from 1998…

Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

A: Given: The initial number of Wolves  is 870  It is also given that the yearly decay rate is 19%=0.19…

Q: Suppose a population of a city, counted in thousands, grows as 70*e0.035 t after t years since 2010.…

A: Given  P(t) = 70×e0.035t Therefore initial value of function,t=0 P(0) = 70×e0.035x0 P(0) = 70   It…

Q: A person places $85800 in an investment account earning an annual rate of 8.5%, compounded…

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A:

Q: A certain population is initially 5000 and declines by 8% per year. a) Find an exponential formula…

A: Given: Population is initially= 5000 declines by 8% per year.

Q: A population is growing exponentially with growth constant .04. In how many years will the current…

A: Exponential model is Pt=P0ekt Where Pt=Population at any time 't' P0=Initial population t= time…

Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

A: It is given that, the initial number of gray wolves in Idaho is 870 and the population decrease at…

Q: A) The population of beavers in a valley doubled between the years 2000 and 2015. Assuming that the…

A: A) The exponential growth function is as follows. Nt=N0ert Let t=0 represents the year 2000 and t=15…

Q: Solve the problems using logarithmic models. 14. Suppose that the population of one endangered…

A:

Q: Solve the problems using logarithmic models. 13. Finance A stock priced at $40 increases at a rate…

A: In this question we will use basic of algebra i.e formation of logarithmic model We will form a…

Q: 2. Suppose a population of insects increases according to the law of exponential growth. There were…

A: We will solve the problem

Q: The 2000 population of Las Vegas, NV was 478,000 and is increasing at the rate of 6.28% each year.…

A: As per bartleby guidelines for more than one questions asked only one question is to be solved.…

Q: Suppose = ceka is an exponential function that has the points (1.7,6.8) and (12.7,12.6) on its = ce…

A:

Q: 8) A bacterial culture has an initial population of 10,000. If its population declines to 3000 in 8…

A: Exponential model of population is given by,     P(t) = Po * e^(kt).

Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: We will apply exponential growth formula to solve this question

Q: 3. Titanium-44 is a radioactive isotope with a half-life of 63 years. Write an exponential equation…

A:

Q: Assume that the number of bacteria follows an exponential growth model: P(t) Poekt. The count in the…

A: we will solve this question using the below method.

Q: The drug Valium is eliminated from the bloodstream exponentially with a​ half-life of 36 hours.…

A:

Q: 3) An endangered species of fish has a population that is decreasing exponentially (A = Agekt). The…

A: The endangered species of fish has a population that decreasing exponentially as…

Q: A colony of bacteria with an initial population of 3000 grows over time t (in hours) at a rate of…

A: We use here simple exponential growth and decay function to solve these problems.

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: The exponential function describing the quantity of caffeine remaining in a person's body, Q , t…

A:

Q: In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was…

A:

Q: The mass of a radioactive substance follows a continuous exponential decay model. A sample of this…

A: Given that mass of a radioactive substance follows a cont. exponential decay model. let us say that…

Q: If the population of a country is 100 million people and the population is increasing exponentially…

A:

Q: 22. (a) How long will it take an investment to double in value if the interest rate is 6% compounded…

A:

Q: 15. The logistic growth function P(x) = 90 models the percentage, P(x), of Americans who are x…

A:

Q: Assume your goal is to cover the entire cost of your child’s college education; estimated to be…

A: 4) Given: Future amount = $100000 Time (t)  = 18 years Rate of interest ( R%)= 7%

Q: The rate of auto thefts doubles every 8 months. (a) Determine, to two decimal places, the base b for…

A: the rate of auto thefts doubles every 8 month.

Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

A:

Q: The population of a country was 113 million in 1990 and the continuous exponential growth rate was…

A: Given, In 1990, Population P=113 million Growth rate r=3% per year Time n=2010-1990=20 years

Q: The population of a country was 81 million in 1992 and the continuous exponential growth rate was…

A:

Q: . The half-life of Iodine-131 is 7.2 hours. How long will it take for a sample of this substance to…

A:

Q: A population is now 3000 and is growing exponentiallywith a growth constant of .02, what will be the…

A:

Q: In​ 1996, an outbreak of a disease infected 20 people in a large community. By​ 1997, the number of…

A: Given: In​ 1996, an outbreak of a disease infected 20 people in a large community. So,  No = 20 By​…

Q: 2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of the…

A: We have to find the half life and the compound intrest in two problems.

Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

A:

Q: - (a) Find the exact solution of the exponential equation in terms of the logarithm. Show your…

A: we have the exponential function : log10-x=loge4 First we have to find the exact solution of this…

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Let the exponential decay equation be A=A0ekt, where A is the amount (in mg) of carbon-14 remaining…

Q: 12. A student wants to use a graphing calculator to graph y =log5x. If the calculator accepts only…

A:

Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

A: Exponential decay (or decrement) describes the process of reducing an amount by a consistent…

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.