Population growth If the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the formula applies to the growth of the county’spopulation, estimate the population of the county in 2023.

Q: The value of a CNC milling machine, originally valued at £240000, depreciates 15% per annum.…

A: We will find out the required value.

Q: Moneysaver's Bank offers a savings account that earns 7.5% interest compounded continuously. If…

A: We have to find the compound intrest amount.

Q: B- The production of the oil well decline exponentially, the initial flow rate is 1500 STB/day , the…

A: exponential model P = Abt  where P is production t is time, A and B are constants. for exponential…

Q: Purchasing Power If a retired couple has a fixedincome of $60,000 per year, the purchasing powerof…

A: A retired couple has a fixed income of $60,000 per year, the purchasing power of their income…

Q: [4] An ant colony is growing 28% per day. Is the model for this growth linear or exponential? A. В.…

A: We have to find given data.

Q: In 2021 a country has a population of 103 million and a growth rate of -0.0448 percent. Assuming…

A: Given population = 103million Rate of decreasing=- 0.0448% Time = 5 year

Q: The half life of radon in 4 days . From a sample of 450g determine an equation that can be used to…

A: The half life is the time period in which the half of the initial quantity of substance is consumed…

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16e-0.000121t…

A:

Q: Determine the total cost of a diesel generator operating over a 5-year period. Assume that the…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16e-0.000121t…

A: Given:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16e-0.000121t…

A: Given decay equation is A=16e-0.000121t. Given year is 5715 years. Consider t  = 5715.

Q: In the year 1950, the world population was 2.56 billion people. In 1960, the population grew to 3.04…

A:

Q: Two hundred units of a particular component were subjected to an accelerated life test equivalent to…

A: Given: Number of units = 200 No. of hours for normal use = 2500 one failed at = 1500 another failed…

Q: Calculate the present value PV (in dollars) of an investment that will be worth $1,000 at the stated…

A: As the formula for compound interest : A=P1+rnntA=final amountP=initial principal balance r=…

Q: 3. The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

A:

Q: In compound interest, time is divided into interest periods. During each period, interest is earned…

A: Common difference (r) = second termfirst term

Q: 2007 Population (millions) 425 Projected 2043 Population (millions) 30.8 Projected Growth Rate, k…

A:

Q: 5900   is​ invested, part of it at 10 ​% and part of it at 7 ​%. For a certain​ year, the total…

A: Use linear equation

Q: An unknown radioactive element decays into non-radioactive substances. In 340 days the radioactivity…

A: The half life equation is P(t)=P(0)×0.5(t/H) P(0) is the quality at time t

Q: Determine the balance for $50000 invested at 3% for 15 years compounded 4 times per year. (Use this…

A: Given data,  Invested amount (P) = $50,000 Interest rate (r) = 3% = 0.03 Period(t) = 15 years…

Q: A population of cattle is increasing at a rate of 800 + 80 t per year, where t is measured in years.…

A: Growth of population is given by the eq. 800+80t. We have to determine the population increase in…

Q: A population of 20,000 rabbits has a growth rate of 25% every three years. Determine the population…

A: NOTE: Refresh your page if you can't see any equations. . the initial population is a=20000 rabbits…

Q: half life of radium is 1690 years. if 60 grams are present now how much will be present in 300 years

A:

Q: Half-Life 19.8 days Decay Rate, k

A:

Q: Use the approximate​ half-life formula for the case described below. Discuss whether the formula is…

A: Given that the initial population = 10000  Decline rate = 7% = 0.07  So the equation for the…

Q: Use an annual growth rate of 1.5​% in a 10 year period for a certain population to find the…

A:

Q: On commencing employment, a man is paid a salary of Gh 7,200 per annum and receives an annual…

A: topic - arithmetic progression

Q: A population increases from 28,000 to 34,000 over a 5-year period at a constant annual percent…

A:

Q: A tank contains 16,384 L of water At the end of each subsequent day , half of the water is removed…

A: The remaining amount of water after 1 day is 16384×12, The remaining amount of water after 2 days is…

Q: Initial Annual Time to Amount After Investment Rate Double 10 Years 39. $4000 6% 40. $18,000 5% 41.…

A: 42 The investment is $12500 The time to double is 20 yr,. Consider the amount is double of $12500…

Q: A certain natural park is said to support 4,000 native buffalos. Initial survey indicates that there…

A:

Q: Half-Life Decay Rate, k 3929 years   k=____

A:

Q: 3. A university invests $100,000 into an account that pays a 4.75% annual rate compounded…

A: Given Principal invested = P = $100,000 The annual interest rate = r = 4.75% We have to find the…

Q: 11. The current population in Passaic is 9,000. If the population, P, increases by 15% each year,…

A:

Q: The enrollment at a small college each year is growing at a rate of 2%. If the college has 2,700…

A: Given data, Growth rate=2% Present population=2700 Future population(A n)=?

Q: (5) Radioactive decay is measured in terms of "half-life", which is the number of years required for…

A:

Q: A certain population has a yearly per capita growth of 2.2%, and the initial value is 2 million. Use…

A:

Q: Half-life: 2778 years Decay Rate, k: _____

A:

Q: A certain vehicle loses 35% of its value each year if the vehicle has an initial value of $25,000…

A: Given a  certain vehicle loses 35% of its value each year if the vehicle has an initial value of…

Q: Mr. Daya Omondi sings beautiful songs and people pay handsomely to attend his live shows. Recently…

A: Given, Principal (P)=80,000 Rate of interest (r)=4%=0.04 Time period (t)=8 years

Q: The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

A: We will use the fact that at half life the amount of the substance remaining is (A_o)/2 to find the…

Q: e number of years required for a $2000 investment to double at a 10% interest rate coumpounded…

A:

Q: Use an annual growth rate of 1.2% in a 20 year period for a certain population to find the…

A: Given information: Annula growth rate = 1.2% A 20 year time period for a certain population is…

Q: ..... Original Growth Rate per Final Amount after x Years Number of Years, x Amount Year of Growth…

A:

Q: Radium-226, a common isotope of Radium, has half-life of 1,700 years. A certain chemist has a…

A: The amount remaining of the object with half-life can be calculates using the half-life formula. The…

Q: The world population in 2009 was 6.8 billion and its annual growth rate was 1.2%. Calculate the 2030…

A: Consider the provided question, The world population in 2009 was 6.8 billion and its annual growth…

Q: Assuming natural growth, a population of bacteria begins with an initial count of 800. If after 5…

A: Given at t=0 the population is 800We know the formula for exponential decay is A(t)=A0ektand given…

Q: Half-Life decay Rate,k 2208 years

A:

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.