The level of chemical pollution in a lake is 4.5 ppb (parts per billion). If the level increases by 0.20 ppb in the following month and 5.0% less each month thereafter, what will be the maximum level?

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: Given,The half-life of Radium-226 is 1590 years. i.e., h=1590A sample contains 200 mg.…

Q: If a population is recorded at 1,200 in the year 2000 and the rate of increase is a steady 50 people…

A: Given date  Initial population Po=1200 in the year 2000 (t=0) Rate of increase is a steady =50…

Q: A small city has a population of 120,000 in 2010.  Concerned about rapid growth, the residents…

A:

Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Given : S=the amount of radium you start with=250gm t=the amount of time in years=950 years  h=the…

Q: If there were originally 500 grams of carbon-14 originally, how much carbon-14 would remain after 10…

A: In each half life , amount becomes half of the previous one. It means that, after each half life the…

Q: A small city had a population of 130,000 in 2010. Concerned about rapid​ growth, the residents…

A: Initial population in 2010 (corresponds to t=0) is P0=130,000 Population after t years from 2010 is…

Q: A population of rabbits grew from 10 to 3000 in 24 months. Determine the doubling rate.

A:

Q: If the population of the earth was found to be 3.5 billion in 1970, and Is Increasing at a rate of…

A: The population of the earth was 3.5 billion in 1970,  We are to find at what year population of…

Q: The population of Knoxville is 500,000 and is increasing at the rate of 3.75% each year.…

A: Given The population of Knoxville is 500,000 and is increasing at the rate of 3.75% each year.…

Q: A radioactive substance has a half-life of 29 years. What percent remains 80 years after being to…

A: We will find the remains after 80 years in percentage.

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

Q: If the price of gold decreases at a monthly rate of 1.8%, by what percentage does it decrease in a…

A: Consider the price of the gold is 100. Since after a period of 12 months the price of the gold…

Q: If prices increase at a monthly rate of 2.6% by what percentage do they increase in a year?

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

Q: At current growth rates, the earth’s population is doubling about every 69 years. If this growth…

A: Number  of years - To calculate

Q: If the national economy shrank at an annual rate of 9​% per year for three consecutive​ years, then…

A:

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

A: Solution

Q: An isotope of cesium has a half life of 29 years. If 1300 grams of cesium disintegrates over a…

A:

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

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: The current population of a small town is 4,700 and is declining at a rate of 1.7% a year what will…

A: The general form that represents the exponential decay is as follows. Pt=P01-rtPt is the population…

Q: If a population has a growth rate of 7.5% per year, how long to the nearest tenth of a year will it…

A:

Q: If prices increase at a monthly rate of 3.4%, by what % do they increase in a year?

A: Annual increase = (((monthly increase+100)/100 )12 -1) 100 Hence Annual increase = ((103.4/100)12…

Q: If the value of Leo’s house goes up from $350,000 to $450,000 in the next 6 years, what was the…

A: Simple Growth percentage in the House value in the 6 years = (450000-350000)/350000 = 0.285714285 ~…

Q: The population of Jefferson City is 95,000. Assuming a growth rate of 2.5% pee year, what will the…

A: Given that population of Jefferson city is P=95,000.  growth rate is R=2.5% per year we have to find…

Q: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

A:

Q: A nurse gives a patient 800 mg of medicine at 10:00 a.m. If the half life of the medicine is 3…

A:

Q: If the price of gold decrease at a monthly rate of 2.1%, by what percentage does it decrease in a…

A: If something is decreasing at 2.1% per month,then after 1 month we have 100%-2.1%=97.9%so after each…

Q: The half - life of Cobalt - 60 is 15 years. How much of an initial 105 g sample will remain after 33

A:

Q: The local govemment projects that the town will grow at a constant rate of nineteen percent per…

A:

Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

A:

Q: 1. A body at 50 degrees C cools inside a room with temperature of 30 degrees C. At what temperature…

A: Let's find.

Q: A piece of machinery valued at $30,000 depreciates at a rate of 10% yearly. How long will it take…

A:

Q: A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the…

A:

Q: Find the half-life (in hours) of a radioactive substance that is reduced by 5 percent in 15 hours.

A:

Q: A certain battery has had a capa dropped to a capacity of 70 amp percent decrease in capacity.

A:

Q: Find the half-life (in hours) of a radioactive substance that is reduced by 10 percent in 90 hours.

A: Half-life = 0.693/(Decay constant)

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given half life =1590 years t0=100, time =0t1=50, time =1590t2=25, time = 2(1590)t3=12.5, time =…

Q: The current population of a certain small town is 4,700 and is declining at a rate of 1.7% per year.…

A: The general equation for exponential decay is A = P(1 – r)t. Where, A is final population P is the…

Q: The population of Mathlandia in 1995 was 23,473 and was projected to grow at a rate of 12% per…

A:

Q: Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount…

A: A(t)=A012thh is the half lifeA(t) is the amount after t years.A0 is the initial value.

Q: A species is considered to be endangered if it is expected to be extinct within 20 years. A…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A:

Q: If the price of gold decreases at a monthly rate of 2.6% by what percentage does it decrease in a…

A: We have to find given percentage decrease.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A:

Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

A:

Q: A wooden artifact from an archaeological dig contains 90 percent of the Carbon-14 that is present in…

A: Formula used:

Q: If prices increase at a monthly rate of 3.2%, by what percentage do they increase in a year?

A: ANSWER :

Q: $3,500 is invested at a rate of 6% coumpounded weekly. What is the amount at the end of 15 years?

A: Principal amount P = $3500 Rate r = 6% weekly             =( 6/52)% annually  Time t = 15 years  =…

Q: The population of the Philippines doubled from 1967 to 1997. Assuming the rate of population…

A: Let 'x' be the population of Philippines in 1967. Therefore, in 1997 the population become '2x'   We…