4. A certain type of storage battery lasts on the average 3.0 y of 0.5 year. Assuming that the battery lives are normally di that a given battery will last less than 2.3 years.

Q: Suppose a scientist has a fossil sample with 180 g (grams) of carbon-14. If its original amount of…

A:

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A:

Q: If the initial mass of an Potassium was 149 grams will remain after 20 hours is 37.25 grams, then…

A:

Q: If the population of a small city is 45,000. If the population grows continuously by 5% per​ year,…

A: Here we use compound interest based formula. If p is present population, r is rate of growth of…

Q: 2. A certain radioactive substance decays half of itself every 5 days. Initially, there are 50…

A:

Q: A fragment of bone is discovered to contain 20% of the usual 14C concentration. Estimate the age of…

A:

Q: Suppose a man is 30 years old and would like to retire at age 60. Furthermore, he would like to have…

A: In the question  it is asked to calculate the amount of money that a person would save in order to…

Q: If the initial mass of an Potassium was 159 grams will remain after 16 hours is 39.75 grams, then…

A:

Q: population

A:

Q: A bacteria population grows by 10% every 3 days. Based on this, if we initially have 2,000…

A: First of all we should know that the growth is exponential so formula will be: Nd = N0ekd where N0…

Q: Suppose that in a family savings equation, for the years 1990, 1991, and 1992, we let kidsit denote…

A: Introduction: The unobserved effects model for the ith observation for a time series data with k…

Q: If a piece of charcoal made from wood of a tree shows only 62% of the carbon 14 expected living in…

A:

Q: Suppose that poaching reduces the population of an endangered animal by 9% per year.  Further…

A: Given query is to find when will the endangered animal face the extinction.

Q: 9. If 75 mg of a radioactive substance decays to 15 mg in 20 years, find the Half-Life, in minutes,…

A:

Q: 4. Te- 105 has a half life of 203.9 hours. If there are 1054 g of Te - 105 initially, how long will…

A:

Q: Assume that the component failure rate is A1=0.001 per hour and the voter failure rate is 2-0.01 per…

A:

Q: The future lifetime at birth is de Moivre's Law on [0,95). If 8 = 0.05. Calculate āz.

A: Given: The future life time at birth is de Moivre's Law on [0,95] ς=0.05 Formula used: Sxx=1-xw…

Q: Find the equation of the ine passing through (3,1) and (4,5).

A: Explanation of the answer is as follows

Q: A CERTAIN RADIOACTIVE MATERIAL IS KNOWN TO DECAY AT A RATE PROPORTIONAL TO THE AMOUNT PRESENT. IF…

A: Given that, after one hour, the 10% of the material is decayed. find the expression of the material…

Q: Consider an object in a surrounding with constant temperature of . If the temperature of the object…

A:

Q: A certain substance decays so that each year 92% of the previous year's material is still present.…

A: A substance decay such that each year 92% of the previous year's material still remains. So, 8% of…

Q: A scientist wants to determine the halflife of a certain radioactive substance. She determines that…

A: The half life function is given by: N(t)=N0(0.5)t/t1/2 where N(t) is the final amount in milligrams…

Q: If the initial mass of an Potassium was 183 grams will remain after 22 hours is 45.75 grams, then…

A:

Q: A sample of a newly discovered element, West Virginium, has a half-life of 295 years. How long will…

A: We have to find out t

Q: Element X is a radioactive isotope such that every 70 years, its mass decreases by half. Given that…

A:

Q: Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that…

A:

Q: The CEO of Asempa farms limited is considering whether to plant this year’s yam with a fertilizer or…

A: (a). To construct a decision tree for the given scenario: The platinum type is $1000 per kilogram…

Q: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

Q: A certain radioactive isotope has a half-life of approximately 1750 years. How many years to the…

A: Consider the amount is, A=Pert here, A is the isotope, P is the initial amount and r is the…

Q: A Company purchased equipment for RO 50,000 with an estimated useful life of 20 years. At the end of…

A: Consider the provided question,

Q: If the present population (x = 0) is 9000, what population size is expected in 144 years?

A: Given dervitative function - dNdx = -400x+256where,N = number of total school population.x = number…

Q: S Sec ta

A: Solution is below

Q: Element X decays radioactively with a half life of 9 minutes. If there are 170 grams of Element X,…

A: Given- Element X decays radioactively with a half life of 9 minutes and there are 170 grams of…

Q: 1. The population of a certain barangay is increasing at a rate proportional to its current…

A:

Q: It is projected that t years from now the population of a certain country will be changing at the…

A: We can solve this question as below

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A:

Q: If the population of a small city is 55,000. If the population grows continuously by 5​% per​ year,…

A:

Q: Suppose the total money supply is $400bn, and the parameters r and c are the same as in question 3.…

A:

Q: 9. In 8 years, a girl will be three times as old as she was 4 years ago, Find her present age.

A: Topic = Algebra As per guidelines ,At a time only one question can be answered out of different…

Q: 1. A business is generating $100,000 per year for the next ten years except year 5 (used for…

A: Rate = 10% Cash flow 1 to 4 = 100,000 Cash flow in year 5 = 0 Cash flow 6 to 10 = 100,000 Present…

Q: If the initial mass of an Potassium was 121 grams will remain after 22 hours is 30.25 grams, then…

A:

Q: 2. The population of a city grows from a initial size of 1000,

A:

Q: 2. The number of transistors in a chip produced by Intel has been known to increase at a rate…

A: Let the number of transistors at time t is:  y(t)

Q: Element X is a radioactive isotope such that every 27 years, its mass decreases by half. Given that…

A: Radioactive decay

Q: A certain forest covers an area of 1900km^2. Suppose that each year this area decrease s by 3%. What…

A: Initial area of the forest = 1900km^2 decay rate = 3% per year time = 11 years

Q: If 18g of a radioactive substance are present initially and 4 yr later only 9g​ remain, how many gs…

A: It is simple unitary method problem.

Q: It is predicted that, t years from now, the population of a certain town will be P(t) t²+5t+22…

A: Use first derivative for critical years and second derivatives to check maximum or minimum…

Q: Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X,…

A: Formula for half life is as below : N(t)=19 gramsN0=760t = ?t12=9 minutes

Q: ), what is the predicted biomass for the year 2020? (Ro

A:

Q: It is predicted that, t years from now, the population of a certain town will be P(t)=…

A: here t= number of years  P(t)= population in thousand the given domain is

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.